0.003 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.191 * * * [progress]: [2/2] Setting up program. 0.199 * [progress]: [Phase 2 of 3] Improving. 0.199 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.200 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.200 * * [simplify]: iters left: 6 (17 enodes) 0.210 * * [simplify]: iters left: 5 (70 enodes) 0.233 * * [simplify]: iters left: 4 (130 enodes) 0.639 * * [simplify]: iters left: 3 (284 enodes) 0.769 * * [simplify]: Extracting #0: cost 1 inf + 0 0.769 * * [simplify]: Extracting #1: cost 16 inf + 0 0.769 * * [simplify]: Extracting #2: cost 30 inf + 2 0.770 * * [simplify]: Extracting #3: cost 47 inf + 87 0.771 * * [simplify]: Extracting #4: cost 107 inf + 1133 0.776 * * [simplify]: Extracting #5: cost 153 inf + 13749 0.795 * * [simplify]: Extracting #6: cost 4 inf + 49904 0.809 * * [simplify]: Extracting #7: cost 0 inf + 50870 0.823 * * [simplify]: Extracting #8: cost 0 inf + 50790 0.846 * [simplify]: Simplified to (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) 0.846 * [simplify]: Simplified (2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 0.863 * * [progress]: iteration 1 / 4 0.863 * * * [progress]: picking best candidate 0.869 * * * * [pick]: Picked # 0.869 * * * [progress]: localizing error 0.913 * * * [progress]: generating rewritten candidates 0.913 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.970 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.997 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.012 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.035 * * * [progress]: generating series expansions 1.035 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.036 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 1.036 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 1.036 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 1.036 * [taylor]: Taking taylor expansion of -2 in K 1.036 * [backup-simplify]: Simplify -2 into -2 1.036 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 1.036 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.036 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.036 * [taylor]: Taking taylor expansion of 1/2 in K 1.036 * [backup-simplify]: Simplify 1/2 into 1/2 1.036 * [taylor]: Taking taylor expansion of K in K 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.037 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.038 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 1.038 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 1.038 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.038 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 1.038 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.038 * [taylor]: Taking taylor expansion of 1 in K 1.038 * [backup-simplify]: Simplify 1 into 1 1.038 * [taylor]: Taking taylor expansion of 1 in K 1.038 * [backup-simplify]: Simplify 1 into 1 1.038 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 1.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.038 * [taylor]: Taking taylor expansion of 1/2 in K 1.038 * [backup-simplify]: Simplify 1/2 into 1/2 1.038 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.038 * [taylor]: Taking taylor expansion of U in K 1.038 * [backup-simplify]: Simplify U into U 1.038 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.038 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.038 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.038 * [taylor]: Taking taylor expansion of 1/2 in K 1.038 * [backup-simplify]: Simplify 1/2 into 1/2 1.038 * [taylor]: Taking taylor expansion of K in K 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 1 into 1 1.039 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.040 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.040 * [taylor]: Taking taylor expansion of J in K 1.040 * [backup-simplify]: Simplify J into J 1.040 * [backup-simplify]: Simplify (* 1 J) into J 1.040 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.040 * [taylor]: Taking taylor expansion of 1/2 in K 1.040 * [backup-simplify]: Simplify 1/2 into 1/2 1.040 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.040 * [taylor]: Taking taylor expansion of U in K 1.040 * [backup-simplify]: Simplify U into U 1.040 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.040 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.040 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.040 * [taylor]: Taking taylor expansion of 1/2 in K 1.040 * [backup-simplify]: Simplify 1/2 into 1/2 1.040 * [taylor]: Taking taylor expansion of K in K 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.042 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.042 * [taylor]: Taking taylor expansion of J in K 1.042 * [backup-simplify]: Simplify J into J 1.042 * [backup-simplify]: Simplify (* 1 J) into J 1.042 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.042 * [backup-simplify]: Simplify (* 1 1) into 1 1.042 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 1.042 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 1.042 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.043 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.043 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.045 * [backup-simplify]: Simplify (+ 0) into 0 1.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.046 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 1.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 1.047 * [backup-simplify]: Simplify (+ 0) into 0 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.047 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 1.048 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 1.049 * [backup-simplify]: Simplify (+ 0 0) into 0 1.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.049 * [taylor]: Taking taylor expansion of J in K 1.049 * [backup-simplify]: Simplify J into J 1.049 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 1.049 * [taylor]: Taking taylor expansion of -2 in J 1.049 * [backup-simplify]: Simplify -2 into -2 1.049 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 1.049 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.049 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.049 * [taylor]: Taking taylor expansion of 1/2 in J 1.049 * [backup-simplify]: Simplify 1/2 into 1/2 1.049 * [taylor]: Taking taylor expansion of K in J 1.049 * [backup-simplify]: Simplify K into K 1.049 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.049 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.049 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.050 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 1.050 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 1.050 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.050 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 1.050 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.050 * [taylor]: Taking taylor expansion of 1 in J 1.050 * [backup-simplify]: Simplify 1 into 1 1.050 * [taylor]: Taking taylor expansion of 1 in J 1.050 * [backup-simplify]: Simplify 1 into 1 1.050 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 1.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.050 * [taylor]: Taking taylor expansion of 1/2 in J 1.050 * [backup-simplify]: Simplify 1/2 into 1/2 1.050 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.050 * [taylor]: Taking taylor expansion of U in J 1.050 * [backup-simplify]: Simplify U into U 1.050 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.050 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.050 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.050 * [taylor]: Taking taylor expansion of 1/2 in J 1.050 * [backup-simplify]: Simplify 1/2 into 1/2 1.050 * [taylor]: Taking taylor expansion of K in J 1.050 * [backup-simplify]: Simplify K into K 1.050 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.050 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.050 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.050 * [taylor]: Taking taylor expansion of J in J 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.051 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.051 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.052 * [backup-simplify]: Simplify (- 0) into 0 1.052 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.052 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.052 * [backup-simplify]: Simplify (+ 0) into 0 1.053 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.055 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.055 * [backup-simplify]: Simplify (- 0) into 0 1.056 * [backup-simplify]: Simplify (+ 0 0) into 0 1.056 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.056 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.057 * [taylor]: Taking taylor expansion of 1/2 in J 1.057 * [backup-simplify]: Simplify 1/2 into 1/2 1.057 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.057 * [taylor]: Taking taylor expansion of U in J 1.057 * [backup-simplify]: Simplify U into U 1.057 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.057 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.057 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.057 * [taylor]: Taking taylor expansion of 1/2 in J 1.057 * [backup-simplify]: Simplify 1/2 into 1/2 1.057 * [taylor]: Taking taylor expansion of K in J 1.057 * [backup-simplify]: Simplify K into K 1.057 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.057 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.057 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.057 * [taylor]: Taking taylor expansion of J in J 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 1 into 1 1.057 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.057 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.058 * [backup-simplify]: Simplify (- 0) into 0 1.058 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.058 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.058 * [backup-simplify]: Simplify (+ 0) into 0 1.059 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.061 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.061 * [backup-simplify]: Simplify (- 0) into 0 1.062 * [backup-simplify]: Simplify (+ 0 0) into 0 1.062 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.062 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.062 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.063 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.063 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.063 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.063 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.064 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.065 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.067 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.067 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.068 * [backup-simplify]: Simplify (- 0) into 0 1.068 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.069 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 1.070 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.071 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.074 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.074 * [backup-simplify]: Simplify (- 0) into 0 1.074 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.075 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 1.076 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 1.076 * [backup-simplify]: Simplify (+ 0 0) into 0 1.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.077 * [taylor]: Taking taylor expansion of J in J 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 1.077 * [taylor]: Taking taylor expansion of -2 in U 1.077 * [backup-simplify]: Simplify -2 into -2 1.077 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 1.077 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.077 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.077 * [taylor]: Taking taylor expansion of 1/2 in U 1.077 * [backup-simplify]: Simplify 1/2 into 1/2 1.077 * [taylor]: Taking taylor expansion of K in U 1.077 * [backup-simplify]: Simplify K into K 1.077 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.077 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.077 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.077 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 1.077 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.077 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.077 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 1.077 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.078 * [taylor]: Taking taylor expansion of 1 in U 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [taylor]: Taking taylor expansion of 1 in U 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.078 * [taylor]: Taking taylor expansion of 1/2 in U 1.078 * [backup-simplify]: Simplify 1/2 into 1/2 1.078 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.078 * [taylor]: Taking taylor expansion of U in U 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.078 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.078 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.078 * [taylor]: Taking taylor expansion of 1/2 in U 1.078 * [backup-simplify]: Simplify 1/2 into 1/2 1.078 * [taylor]: Taking taylor expansion of K in U 1.078 * [backup-simplify]: Simplify K into K 1.078 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.078 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.078 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.078 * [taylor]: Taking taylor expansion of J in U 1.078 * [backup-simplify]: Simplify J into J 1.078 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.078 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.079 * [backup-simplify]: Simplify (- 0) into 0 1.079 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.079 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.079 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.079 * [taylor]: Taking taylor expansion of 1/2 in U 1.079 * [backup-simplify]: Simplify 1/2 into 1/2 1.079 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.079 * [taylor]: Taking taylor expansion of U in U 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.079 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.079 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.079 * [taylor]: Taking taylor expansion of 1/2 in U 1.079 * [backup-simplify]: Simplify 1/2 into 1/2 1.079 * [taylor]: Taking taylor expansion of K in U 1.079 * [backup-simplify]: Simplify K into K 1.079 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.079 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.079 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.079 * [taylor]: Taking taylor expansion of J in U 1.079 * [backup-simplify]: Simplify J into J 1.079 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.080 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.080 * [backup-simplify]: Simplify (- 0) into 0 1.080 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.080 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.080 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.080 * [backup-simplify]: Simplify (* 1 1) into 1 1.080 * [backup-simplify]: Simplify (+ 1 0) into 1 1.081 * [backup-simplify]: Simplify (sqrt 1) into 1 1.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.082 * [taylor]: Taking taylor expansion of J in U 1.082 * [backup-simplify]: Simplify J into J 1.082 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 1.082 * [taylor]: Taking taylor expansion of -2 in U 1.082 * [backup-simplify]: Simplify -2 into -2 1.082 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 1.082 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.082 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.082 * [taylor]: Taking taylor expansion of 1/2 in U 1.082 * [backup-simplify]: Simplify 1/2 into 1/2 1.082 * [taylor]: Taking taylor expansion of K in U 1.082 * [backup-simplify]: Simplify K into K 1.082 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.082 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.082 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.082 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 1.082 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.082 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.082 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 1.082 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.082 * [taylor]: Taking taylor expansion of 1 in U 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [taylor]: Taking taylor expansion of 1 in U 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.082 * [taylor]: Taking taylor expansion of 1/2 in U 1.082 * [backup-simplify]: Simplify 1/2 into 1/2 1.082 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.082 * [taylor]: Taking taylor expansion of U in U 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.082 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.082 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.082 * [taylor]: Taking taylor expansion of 1/2 in U 1.082 * [backup-simplify]: Simplify 1/2 into 1/2 1.082 * [taylor]: Taking taylor expansion of K in U 1.082 * [backup-simplify]: Simplify K into K 1.082 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.083 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.083 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.083 * [taylor]: Taking taylor expansion of J in U 1.083 * [backup-simplify]: Simplify J into J 1.083 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.083 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.083 * [backup-simplify]: Simplify (- 0) into 0 1.083 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.083 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.083 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.083 * [taylor]: Taking taylor expansion of 1/2 in U 1.083 * [backup-simplify]: Simplify 1/2 into 1/2 1.083 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.083 * [taylor]: Taking taylor expansion of U in U 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.083 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.083 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.083 * [taylor]: Taking taylor expansion of 1/2 in U 1.083 * [backup-simplify]: Simplify 1/2 into 1/2 1.083 * [taylor]: Taking taylor expansion of K in U 1.083 * [backup-simplify]: Simplify K into K 1.083 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.083 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.083 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.083 * [taylor]: Taking taylor expansion of J in U 1.084 * [backup-simplify]: Simplify J into J 1.084 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.084 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.084 * [backup-simplify]: Simplify (- 0) into 0 1.084 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.084 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.084 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.084 * [backup-simplify]: Simplify (* 1 1) into 1 1.085 * [backup-simplify]: Simplify (+ 1 0) into 1 1.085 * [backup-simplify]: Simplify (sqrt 1) into 1 1.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.086 * [taylor]: Taking taylor expansion of J in U 1.086 * [backup-simplify]: Simplify J into J 1.086 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.086 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.089 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.089 * [backup-simplify]: Simplify (* 1 J) into J 1.089 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.089 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.089 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.089 * [taylor]: Taking taylor expansion of -2 in J 1.089 * [backup-simplify]: Simplify -2 into -2 1.089 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.089 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.089 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.089 * [taylor]: Taking taylor expansion of 1/2 in J 1.089 * [backup-simplify]: Simplify 1/2 into 1/2 1.089 * [taylor]: Taking taylor expansion of K in J 1.089 * [backup-simplify]: Simplify K into K 1.089 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.089 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.089 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.089 * [taylor]: Taking taylor expansion of J in J 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.090 * [backup-simplify]: Simplify (+ 0) into 0 1.090 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.091 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.091 * [backup-simplify]: Simplify (- 0) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.092 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.092 * [taylor]: Taking taylor expansion of 0 in J 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.092 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.093 * [backup-simplify]: Simplify (- 0) into 0 1.093 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.093 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.093 * [backup-simplify]: Simplify (* -2 0) into 0 1.093 * [taylor]: Taking taylor expansion of 0 in K 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.094 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.094 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.094 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.094 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.095 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 1.096 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.097 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.098 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.098 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 1.099 * [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)))) 1.099 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 1.099 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 1.099 * [taylor]: Taking taylor expansion of 1/4 in J 1.099 * [backup-simplify]: Simplify 1/4 into 1/4 1.099 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 1.099 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.099 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.099 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.099 * [taylor]: Taking taylor expansion of 1/2 in J 1.099 * [backup-simplify]: Simplify 1/2 into 1/2 1.099 * [taylor]: Taking taylor expansion of K in J 1.099 * [backup-simplify]: Simplify K into K 1.099 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.099 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.099 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.100 * [taylor]: Taking taylor expansion of J in J 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.100 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.100 * [backup-simplify]: Simplify (- 0) into 0 1.100 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.100 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.100 * [backup-simplify]: Simplify (+ 0) into 0 1.101 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.102 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.102 * [backup-simplify]: Simplify (+ 0 0) into 0 1.102 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.102 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 1.103 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 1.103 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 1.103 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 1.103 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 1.103 * [taylor]: Taking taylor expansion of 1/4 in K 1.103 * [backup-simplify]: Simplify 1/4 into 1/4 1.103 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 1.103 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.103 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.103 * [taylor]: Taking taylor expansion of 1/2 in K 1.103 * [backup-simplify]: Simplify 1/2 into 1/2 1.103 * [taylor]: Taking taylor expansion of K in K 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.103 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.104 * [backup-simplify]: Simplify (/ 1 1) into 1 1.104 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.104 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.104 * [backup-simplify]: Simplify -1/4 into -1/4 1.104 * [taylor]: Taking taylor expansion of 0 in K 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify (+ 0) into 0 1.105 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.106 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.106 * [backup-simplify]: Simplify (- 0) into 0 1.107 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.107 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 1.107 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 1.107 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 1.107 * [taylor]: Taking taylor expansion of 2 in K 1.107 * [backup-simplify]: Simplify 2 into 2 1.107 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.107 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.107 * [taylor]: Taking taylor expansion of 1/2 in K 1.107 * [backup-simplify]: Simplify 1/2 into 1/2 1.107 * [taylor]: Taking taylor expansion of K in K 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.108 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.108 * [backup-simplify]: Simplify (* 2 1) into 2 1.109 * [backup-simplify]: Simplify (- 2) into -2 1.109 * [backup-simplify]: Simplify -2 into -2 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.110 * [backup-simplify]: Simplify (+ 0) into 0 1.110 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.111 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.111 * [backup-simplify]: Simplify (- 0) into 0 1.112 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.112 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.113 * [backup-simplify]: Simplify (+ 0) into 0 1.114 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.115 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.116 * [backup-simplify]: Simplify (- 0) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.116 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.117 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.117 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 1.118 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 1.121 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.121 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.124 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.125 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.125 * [backup-simplify]: Simplify (- 0) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 1.127 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.127 * [taylor]: Taking taylor expansion of 0 in J 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.129 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.131 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.132 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.132 * [backup-simplify]: Simplify (- 0) into 0 1.132 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.134 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 1.134 * [backup-simplify]: Simplify (- 0) into 0 1.134 * [taylor]: Taking taylor expansion of 0 in K 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [taylor]: Taking taylor expansion of 0 in K 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.136 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.138 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.138 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.141 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 1.141 * [taylor]: Taking taylor expansion of 0 in K 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (+ 0) into 0 1.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.143 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.143 * [backup-simplify]: Simplify (- 0) into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.144 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 1.144 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 1.144 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 1.144 * [taylor]: Taking taylor expansion of -2 in K 1.144 * [backup-simplify]: Simplify -2 into -2 1.144 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 1.144 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 1.144 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 1.144 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.144 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 1.144 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.144 * [taylor]: Taking taylor expansion of 1 in K 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [taylor]: Taking taylor expansion of 1 in K 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 1.145 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.145 * [taylor]: Taking taylor expansion of 1/2 in K 1.145 * [backup-simplify]: Simplify 1/2 into 1/2 1.145 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.145 * [taylor]: Taking taylor expansion of J in K 1.145 * [backup-simplify]: Simplify J into J 1.145 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.145 * [taylor]: Taking taylor expansion of U in K 1.145 * [backup-simplify]: Simplify U into U 1.145 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.145 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.145 * [taylor]: Taking taylor expansion of 1/2 in K 1.145 * [backup-simplify]: Simplify 1/2 into 1/2 1.145 * [taylor]: Taking taylor expansion of K in K 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.146 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.146 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.146 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.146 * [taylor]: Taking taylor expansion of 1/2 in K 1.146 * [backup-simplify]: Simplify 1/2 into 1/2 1.146 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.146 * [taylor]: Taking taylor expansion of J in K 1.146 * [backup-simplify]: Simplify J into J 1.146 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.146 * [taylor]: Taking taylor expansion of U in K 1.146 * [backup-simplify]: Simplify U into U 1.146 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.146 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.146 * [taylor]: Taking taylor expansion of 1/2 in K 1.146 * [backup-simplify]: Simplify 1/2 into 1/2 1.146 * [taylor]: Taking taylor expansion of K in K 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 1 into 1 1.147 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.147 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.147 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.147 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.148 * [backup-simplify]: Simplify (* 1 1) into 1 1.148 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.148 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.148 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.149 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1.149 * [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)) 1.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.150 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 1.150 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 1.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 1.151 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 1.151 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 1.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 1.152 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 1.153 * [backup-simplify]: Simplify (+ 0 0) into 0 1.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.153 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.153 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.153 * [taylor]: Taking taylor expansion of 1/2 in K 1.153 * [backup-simplify]: Simplify 1/2 into 1/2 1.153 * [taylor]: Taking taylor expansion of K in K 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 1 into 1 1.154 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.154 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.154 * [taylor]: Taking taylor expansion of J in K 1.154 * [backup-simplify]: Simplify J into J 1.154 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 1.155 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 1.155 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 1.155 * [taylor]: Taking taylor expansion of -2 in J 1.155 * [backup-simplify]: Simplify -2 into -2 1.155 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 1.155 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 1.155 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 1.155 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.155 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 1.155 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.155 * [taylor]: Taking taylor expansion of 1 in J 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [taylor]: Taking taylor expansion of 1 in J 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 1.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.155 * [taylor]: Taking taylor expansion of 1/2 in J 1.155 * [backup-simplify]: Simplify 1/2 into 1/2 1.156 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.156 * [taylor]: Taking taylor expansion of J in J 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.156 * [taylor]: Taking taylor expansion of U in J 1.156 * [backup-simplify]: Simplify U into U 1.156 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.156 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.156 * [taylor]: Taking taylor expansion of 1/2 in J 1.156 * [backup-simplify]: Simplify 1/2 into 1/2 1.156 * [taylor]: Taking taylor expansion of K in J 1.156 * [backup-simplify]: Simplify K into K 1.156 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.156 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.156 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.156 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.156 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.157 * [backup-simplify]: Simplify (- 0) into 0 1.157 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.157 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.157 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.157 * [taylor]: Taking taylor expansion of 1/2 in J 1.157 * [backup-simplify]: Simplify 1/2 into 1/2 1.157 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.157 * [taylor]: Taking taylor expansion of J in J 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.157 * [taylor]: Taking taylor expansion of U in J 1.157 * [backup-simplify]: Simplify U into U 1.157 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.157 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.157 * [taylor]: Taking taylor expansion of 1/2 in J 1.157 * [backup-simplify]: Simplify 1/2 into 1/2 1.157 * [taylor]: Taking taylor expansion of K in J 1.157 * [backup-simplify]: Simplify K into K 1.157 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.158 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.158 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.158 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.158 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.158 * [backup-simplify]: Simplify (- 0) into 0 1.158 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.158 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.159 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.159 * [backup-simplify]: Simplify (* 1 1) into 1 1.159 * [backup-simplify]: Simplify (+ 1 0) into 1 1.160 * [backup-simplify]: Simplify (sqrt 1) into 1 1.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.161 * [backup-simplify]: Simplify (+ 0 0) into 0 1.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.162 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.162 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.162 * [taylor]: Taking taylor expansion of 1/2 in J 1.162 * [backup-simplify]: Simplify 1/2 into 1/2 1.162 * [taylor]: Taking taylor expansion of K in J 1.162 * [backup-simplify]: Simplify K into K 1.162 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.162 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.162 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.162 * [taylor]: Taking taylor expansion of J in J 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.162 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.163 * [backup-simplify]: Simplify (- 0) into 0 1.163 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.163 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 1.163 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.163 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 1.163 * [taylor]: Taking taylor expansion of -2 in U 1.163 * [backup-simplify]: Simplify -2 into -2 1.163 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 1.163 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 1.163 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.163 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.163 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 1.163 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.163 * [taylor]: Taking taylor expansion of 1 in U 1.163 * [backup-simplify]: Simplify 1 into 1 1.163 * [taylor]: Taking taylor expansion of 1 in U 1.163 * [backup-simplify]: Simplify 1 into 1 1.163 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.163 * [taylor]: Taking taylor expansion of 1/2 in U 1.163 * [backup-simplify]: Simplify 1/2 into 1/2 1.163 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.163 * [taylor]: Taking taylor expansion of J in U 1.163 * [backup-simplify]: Simplify J into J 1.163 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.164 * [taylor]: Taking taylor expansion of U in U 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.164 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.164 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.164 * [taylor]: Taking taylor expansion of 1/2 in U 1.164 * [backup-simplify]: Simplify 1/2 into 1/2 1.164 * [taylor]: Taking taylor expansion of K in U 1.164 * [backup-simplify]: Simplify K into K 1.164 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.164 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.164 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.164 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.164 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.164 * [backup-simplify]: Simplify (- 0) into 0 1.165 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.165 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.165 * [backup-simplify]: Simplify (+ 0) into 0 1.166 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.168 * [backup-simplify]: Simplify (- 0) into 0 1.168 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.169 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.169 * [taylor]: Taking taylor expansion of 1/2 in U 1.169 * [backup-simplify]: Simplify 1/2 into 1/2 1.169 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.169 * [taylor]: Taking taylor expansion of J in U 1.169 * [backup-simplify]: Simplify J into J 1.169 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.169 * [taylor]: Taking taylor expansion of U in U 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.169 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.169 * [taylor]: Taking taylor expansion of 1/2 in U 1.169 * [backup-simplify]: Simplify 1/2 into 1/2 1.169 * [taylor]: Taking taylor expansion of K in U 1.169 * [backup-simplify]: Simplify K into K 1.169 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.169 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.169 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.169 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.169 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.170 * [backup-simplify]: Simplify (- 0) into 0 1.170 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.170 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.170 * [backup-simplify]: Simplify (+ 0) into 0 1.171 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.171 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.172 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.173 * [backup-simplify]: Simplify (- 0) into 0 1.173 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.174 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.174 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.174 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.174 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.174 * [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))) 1.175 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.176 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.176 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.177 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.177 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.178 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.178 * [backup-simplify]: Simplify (- 0) into 0 1.179 * [backup-simplify]: Simplify (+ 0 0) into 0 1.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.180 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.181 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.182 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.182 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.183 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.184 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.184 * [backup-simplify]: Simplify (- 0) into 0 1.185 * [backup-simplify]: Simplify (+ 0 0) into 0 1.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.186 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.187 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.187 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.187 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.187 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.187 * [taylor]: Taking taylor expansion of 1/2 in U 1.187 * [backup-simplify]: Simplify 1/2 into 1/2 1.187 * [taylor]: Taking taylor expansion of K in U 1.188 * [backup-simplify]: Simplify K into K 1.188 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.188 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.188 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.188 * [taylor]: Taking taylor expansion of J in U 1.188 * [backup-simplify]: Simplify J into J 1.188 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.188 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.189 * [backup-simplify]: Simplify (- 0) into 0 1.189 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.189 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 1.189 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.189 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 1.189 * [taylor]: Taking taylor expansion of -2 in U 1.189 * [backup-simplify]: Simplify -2 into -2 1.189 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 1.189 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 1.189 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.189 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.189 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 1.189 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.189 * [taylor]: Taking taylor expansion of 1 in U 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [taylor]: Taking taylor expansion of 1 in U 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.189 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.189 * [taylor]: Taking taylor expansion of 1/2 in U 1.189 * [backup-simplify]: Simplify 1/2 into 1/2 1.189 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.190 * [taylor]: Taking taylor expansion of J in U 1.190 * [backup-simplify]: Simplify J into J 1.190 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.190 * [taylor]: Taking taylor expansion of U in U 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.190 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.190 * [taylor]: Taking taylor expansion of 1/2 in U 1.190 * [backup-simplify]: Simplify 1/2 into 1/2 1.190 * [taylor]: Taking taylor expansion of K in U 1.190 * [backup-simplify]: Simplify K into K 1.190 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.190 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.190 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.190 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.190 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.191 * [backup-simplify]: Simplify (- 0) into 0 1.191 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.191 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.191 * [backup-simplify]: Simplify (+ 0) into 0 1.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.192 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.193 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.193 * [backup-simplify]: Simplify (- 0) into 0 1.193 * [backup-simplify]: Simplify (+ 0 0) into 0 1.193 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.193 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.193 * [taylor]: Taking taylor expansion of 1/2 in U 1.193 * [backup-simplify]: Simplify 1/2 into 1/2 1.193 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.193 * [taylor]: Taking taylor expansion of J in U 1.193 * [backup-simplify]: Simplify J into J 1.193 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.193 * [taylor]: Taking taylor expansion of U in U 1.193 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.194 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.194 * [taylor]: Taking taylor expansion of 1/2 in U 1.194 * [backup-simplify]: Simplify 1/2 into 1/2 1.194 * [taylor]: Taking taylor expansion of K in U 1.194 * [backup-simplify]: Simplify K into K 1.194 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.194 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.194 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.194 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.194 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.194 * [backup-simplify]: Simplify (- 0) into 0 1.194 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.194 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.194 * [backup-simplify]: Simplify (+ 0) into 0 1.195 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.195 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.196 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.196 * [backup-simplify]: Simplify (- 0) into 0 1.196 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.196 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.196 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.196 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.197 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.197 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.197 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.198 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.198 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.199 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.199 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.199 * [backup-simplify]: Simplify (- 0) into 0 1.199 * [backup-simplify]: Simplify (+ 0 0) into 0 1.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.200 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.201 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.202 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.202 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.202 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.203 * [backup-simplify]: Simplify (- 0) into 0 1.203 * [backup-simplify]: Simplify (+ 0 0) into 0 1.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.203 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.204 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.204 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.204 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.204 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.204 * [taylor]: Taking taylor expansion of 1/2 in U 1.204 * [backup-simplify]: Simplify 1/2 into 1/2 1.204 * [taylor]: Taking taylor expansion of K in U 1.204 * [backup-simplify]: Simplify K into K 1.204 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.205 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.205 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.205 * [taylor]: Taking taylor expansion of J in U 1.205 * [backup-simplify]: Simplify J into J 1.205 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.205 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.205 * [backup-simplify]: Simplify (- 0) into 0 1.205 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.205 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 1.205 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.205 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.206 * [taylor]: Taking taylor expansion of -1 in J 1.206 * [backup-simplify]: Simplify -1 into -1 1.206 * [backup-simplify]: Simplify (+ 0) into 0 1.206 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.206 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.207 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.207 * [backup-simplify]: Simplify (- 0) into 0 1.207 * [backup-simplify]: Simplify (+ 0 0) into 0 1.208 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.208 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 1.208 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.208 * [taylor]: Taking taylor expansion of 0 in J 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [taylor]: Taking taylor expansion of -1 in K 1.208 * [backup-simplify]: Simplify -1 into -1 1.208 * [backup-simplify]: Simplify -1 into -1 1.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.209 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.209 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.210 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.210 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.210 * [backup-simplify]: Simplify (- 0) into 0 1.211 * [backup-simplify]: Simplify (+ 0 0) into 0 1.213 * [backup-simplify]: Simplify (* 1 1) into 1 1.213 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.214 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.215 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.216 * [backup-simplify]: Simplify (- 0) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.218 * [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 1.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.220 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.220 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.221 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.222 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.223 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.223 * [backup-simplify]: Simplify (- 0) into 0 1.224 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.225 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.227 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 1.227 * [backup-simplify]: Simplify (+ 1 0) into 1 1.228 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.229 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 1.229 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.230 * [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)))) 1.230 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.230 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.230 * [taylor]: Taking taylor expansion of 2 in J 1.230 * [backup-simplify]: Simplify 2 into 2 1.230 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.230 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.230 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.230 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.230 * [taylor]: Taking taylor expansion of 1/2 in J 1.230 * [backup-simplify]: Simplify 1/2 into 1/2 1.230 * [taylor]: Taking taylor expansion of K in J 1.231 * [backup-simplify]: Simplify K into K 1.231 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.231 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.231 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.231 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.231 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.231 * [backup-simplify]: Simplify (- 0) into 0 1.231 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.231 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.231 * [taylor]: Taking taylor expansion of J in J 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 1 into 1 1.232 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.232 * [backup-simplify]: Simplify (* 1 1) into 1 1.232 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.233 * [backup-simplify]: Simplify (+ 0) into 0 1.233 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.234 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.235 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.235 * [backup-simplify]: Simplify (- 0) into 0 1.236 * [backup-simplify]: Simplify (+ 0 0) into 0 1.236 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.238 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.238 * [backup-simplify]: Simplify (- 0) into 0 1.238 * [taylor]: Taking taylor expansion of 0 in K 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [taylor]: Taking taylor expansion of 0 in K 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [taylor]: Taking taylor expansion of 0 in K 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.241 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.243 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.244 * [backup-simplify]: Simplify (- 0) into 0 1.244 * [backup-simplify]: Simplify (+ 0 0) into 0 1.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.248 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.249 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.250 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.251 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.251 * [backup-simplify]: Simplify (- 0) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 1.254 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 1.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.259 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.259 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.260 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.261 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.262 * [backup-simplify]: Simplify (- 0) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 1.264 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 1.266 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 1.267 * [backup-simplify]: Simplify (+ 0 0) into 0 1.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.268 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.268 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 1.269 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.269 * [taylor]: Taking taylor expansion of 0 in J 1.269 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.271 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.271 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.272 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.273 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.273 * [backup-simplify]: Simplify (- 0) into 0 1.273 * [backup-simplify]: Simplify (+ 0 0) into 0 1.274 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.277 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.278 * [backup-simplify]: Simplify (- 0) into 0 1.278 * [taylor]: Taking taylor expansion of 0 in K 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [taylor]: Taking taylor expansion of 0 in K 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.278 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 1.278 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 1.278 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 1.278 * [taylor]: Taking taylor expansion of 2 in K 1.278 * [backup-simplify]: Simplify 2 into 2 1.279 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 1.279 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 1.279 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.279 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.279 * [taylor]: Taking taylor expansion of -1/2 in K 1.279 * [backup-simplify]: Simplify -1/2 into -1/2 1.279 * [taylor]: Taking taylor expansion of K in K 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.279 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.279 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 1.279 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.279 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 1.279 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.280 * [taylor]: Taking taylor expansion of 1 in K 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [taylor]: Taking taylor expansion of 1 in K 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 1.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.280 * [taylor]: Taking taylor expansion of 1/2 in K 1.280 * [backup-simplify]: Simplify 1/2 into 1/2 1.280 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.280 * [taylor]: Taking taylor expansion of J in K 1.280 * [backup-simplify]: Simplify J into J 1.280 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.280 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.280 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.280 * [taylor]: Taking taylor expansion of -1/2 in K 1.280 * [backup-simplify]: Simplify -1/2 into -1/2 1.280 * [taylor]: Taking taylor expansion of K in K 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.280 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.281 * [taylor]: Taking taylor expansion of U in K 1.281 * [backup-simplify]: Simplify U into U 1.281 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.281 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.281 * [taylor]: Taking taylor expansion of 1/2 in K 1.281 * [backup-simplify]: Simplify 1/2 into 1/2 1.281 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.281 * [taylor]: Taking taylor expansion of J in K 1.281 * [backup-simplify]: Simplify J into J 1.281 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.281 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.281 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.281 * [taylor]: Taking taylor expansion of -1/2 in K 1.281 * [backup-simplify]: Simplify -1/2 into -1/2 1.281 * [taylor]: Taking taylor expansion of K in K 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.282 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.282 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.282 * [taylor]: Taking taylor expansion of U in K 1.282 * [backup-simplify]: Simplify U into U 1.282 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.282 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.282 * [backup-simplify]: Simplify (* 1 1) into 1 1.282 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.283 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.283 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.283 * [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))))) 1.284 * [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)))))) 1.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 1.285 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 1.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 1.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 1.286 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 1.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 1.287 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 1.288 * [backup-simplify]: Simplify (+ 0 0) into 0 1.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.288 * [taylor]: Taking taylor expansion of J in K 1.288 * [backup-simplify]: Simplify J into J 1.289 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 1.289 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 1.289 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 1.289 * [taylor]: Taking taylor expansion of 2 in J 1.289 * [backup-simplify]: Simplify 2 into 2 1.289 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 1.289 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 1.289 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.289 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.289 * [taylor]: Taking taylor expansion of -1/2 in J 1.289 * [backup-simplify]: Simplify -1/2 into -1/2 1.289 * [taylor]: Taking taylor expansion of K in J 1.289 * [backup-simplify]: Simplify K into K 1.289 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.290 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.290 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.290 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 1.290 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.290 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 1.290 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.290 * [taylor]: Taking taylor expansion of 1 in J 1.290 * [backup-simplify]: Simplify 1 into 1 1.290 * [taylor]: Taking taylor expansion of 1 in J 1.290 * [backup-simplify]: Simplify 1 into 1 1.290 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 1.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.290 * [taylor]: Taking taylor expansion of 1/2 in J 1.290 * [backup-simplify]: Simplify 1/2 into 1/2 1.290 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.290 * [taylor]: Taking taylor expansion of J in J 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 1 into 1 1.290 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.290 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.290 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.290 * [taylor]: Taking taylor expansion of -1/2 in J 1.290 * [backup-simplify]: Simplify -1/2 into -1/2 1.290 * [taylor]: Taking taylor expansion of K in J 1.290 * [backup-simplify]: Simplify K into K 1.290 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.290 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.290 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.290 * [taylor]: Taking taylor expansion of U in J 1.291 * [backup-simplify]: Simplify U into U 1.291 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.291 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.291 * [backup-simplify]: Simplify (- 0) into 0 1.291 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.291 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.291 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.292 * [taylor]: Taking taylor expansion of 1/2 in J 1.292 * [backup-simplify]: Simplify 1/2 into 1/2 1.292 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.292 * [taylor]: Taking taylor expansion of J in J 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.292 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.292 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.292 * [taylor]: Taking taylor expansion of -1/2 in J 1.292 * [backup-simplify]: Simplify -1/2 into -1/2 1.292 * [taylor]: Taking taylor expansion of K in J 1.292 * [backup-simplify]: Simplify K into K 1.292 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.292 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.292 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.292 * [taylor]: Taking taylor expansion of U in J 1.292 * [backup-simplify]: Simplify U into U 1.292 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.292 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.293 * [backup-simplify]: Simplify (- 0) into 0 1.293 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.293 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.293 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.293 * [backup-simplify]: Simplify (* 1 1) into 1 1.294 * [backup-simplify]: Simplify (+ 1 0) into 1 1.294 * [backup-simplify]: Simplify (sqrt 1) into 1 1.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.296 * [taylor]: Taking taylor expansion of J in J 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.296 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.297 * [backup-simplify]: Simplify (- 0) into 0 1.297 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.297 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.297 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.297 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 1.297 * [taylor]: Taking taylor expansion of 2 in U 1.297 * [backup-simplify]: Simplify 2 into 2 1.297 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 1.297 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.297 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.297 * [taylor]: Taking taylor expansion of -1/2 in U 1.297 * [backup-simplify]: Simplify -1/2 into -1/2 1.297 * [taylor]: Taking taylor expansion of K in U 1.297 * [backup-simplify]: Simplify K into K 1.298 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.298 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.298 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.298 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.298 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.298 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.298 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.298 * [taylor]: Taking taylor expansion of 1 in U 1.298 * [backup-simplify]: Simplify 1 into 1 1.298 * [taylor]: Taking taylor expansion of 1 in U 1.298 * [backup-simplify]: Simplify 1 into 1 1.298 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.298 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.298 * [taylor]: Taking taylor expansion of 1/2 in U 1.298 * [backup-simplify]: Simplify 1/2 into 1/2 1.298 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.298 * [taylor]: Taking taylor expansion of J in U 1.298 * [backup-simplify]: Simplify J into J 1.298 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.298 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.298 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.298 * [taylor]: Taking taylor expansion of -1/2 in U 1.298 * [backup-simplify]: Simplify -1/2 into -1/2 1.298 * [taylor]: Taking taylor expansion of K in U 1.298 * [backup-simplify]: Simplify K into K 1.298 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.298 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.299 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.299 * [taylor]: Taking taylor expansion of U in U 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.299 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.299 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.299 * [backup-simplify]: Simplify (- 0) into 0 1.299 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.299 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.300 * [backup-simplify]: Simplify (+ 0) into 0 1.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.300 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.302 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.302 * [taylor]: Taking taylor expansion of 1/2 in U 1.302 * [backup-simplify]: Simplify 1/2 into 1/2 1.302 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.302 * [taylor]: Taking taylor expansion of J in U 1.302 * [backup-simplify]: Simplify J into J 1.302 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.302 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.302 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.302 * [taylor]: Taking taylor expansion of -1/2 in U 1.302 * [backup-simplify]: Simplify -1/2 into -1/2 1.302 * [taylor]: Taking taylor expansion of K in U 1.302 * [backup-simplify]: Simplify K into K 1.302 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.302 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.302 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.302 * [taylor]: Taking taylor expansion of U in U 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.303 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.303 * [backup-simplify]: Simplify (- 0) into 0 1.303 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.303 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.303 * [backup-simplify]: Simplify (+ 0) into 0 1.304 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.304 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.305 * [backup-simplify]: Simplify (- 0) into 0 1.305 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.305 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.305 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.305 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.306 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.306 * [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))) 1.306 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.307 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.307 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.308 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.308 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.308 * [backup-simplify]: Simplify (- 0) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.309 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.310 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.311 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.312 * [backup-simplify]: Simplify (- 0) into 0 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.312 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.313 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.313 * [backup-simplify]: Simplify (+ 0 0) into 0 1.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.313 * [taylor]: Taking taylor expansion of J in U 1.313 * [backup-simplify]: Simplify J into J 1.313 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.313 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.314 * [backup-simplify]: Simplify (- 0) into 0 1.314 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.314 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 1.314 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.314 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 1.314 * [taylor]: Taking taylor expansion of 2 in U 1.314 * [backup-simplify]: Simplify 2 into 2 1.314 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 1.314 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.314 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.314 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.314 * [taylor]: Taking taylor expansion of -1/2 in U 1.314 * [backup-simplify]: Simplify -1/2 into -1/2 1.314 * [taylor]: Taking taylor expansion of K in U 1.314 * [backup-simplify]: Simplify K into K 1.314 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.314 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.314 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.314 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.314 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.314 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.314 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.314 * [taylor]: Taking taylor expansion of 1 in U 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [taylor]: Taking taylor expansion of 1 in U 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.314 * [taylor]: Taking taylor expansion of 1/2 in U 1.314 * [backup-simplify]: Simplify 1/2 into 1/2 1.314 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.314 * [taylor]: Taking taylor expansion of J in U 1.315 * [backup-simplify]: Simplify J into J 1.315 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.315 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.315 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.315 * [taylor]: Taking taylor expansion of -1/2 in U 1.315 * [backup-simplify]: Simplify -1/2 into -1/2 1.315 * [taylor]: Taking taylor expansion of K in U 1.315 * [backup-simplify]: Simplify K into K 1.315 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.315 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.315 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.315 * [taylor]: Taking taylor expansion of U in U 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.315 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.315 * [backup-simplify]: Simplify (- 0) into 0 1.315 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.315 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.315 * [backup-simplify]: Simplify (+ 0) into 0 1.316 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.316 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.316 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.317 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.317 * [backup-simplify]: Simplify (- 0) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.318 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.318 * [taylor]: Taking taylor expansion of 1/2 in U 1.318 * [backup-simplify]: Simplify 1/2 into 1/2 1.318 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.318 * [taylor]: Taking taylor expansion of J in U 1.318 * [backup-simplify]: Simplify J into J 1.318 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.318 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.318 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.318 * [taylor]: Taking taylor expansion of -1/2 in U 1.318 * [backup-simplify]: Simplify -1/2 into -1/2 1.318 * [taylor]: Taking taylor expansion of K in U 1.318 * [backup-simplify]: Simplify K into K 1.318 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.318 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.318 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.318 * [taylor]: Taking taylor expansion of U in U 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.318 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.318 * [backup-simplify]: Simplify (- 0) into 0 1.318 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.318 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.319 * [backup-simplify]: Simplify (+ 0) into 0 1.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.319 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.320 * [backup-simplify]: Simplify (- 0) into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.321 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.321 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.321 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.321 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.321 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.321 * [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))) 1.321 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.322 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.322 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.323 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.323 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.324 * [backup-simplify]: Simplify (- 0) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.325 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.326 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.327 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.327 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.328 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.329 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.329 * [backup-simplify]: Simplify (- 0) into 0 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.330 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.331 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.332 * [backup-simplify]: Simplify (+ 0 0) into 0 1.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.332 * [taylor]: Taking taylor expansion of J in U 1.332 * [backup-simplify]: Simplify J into J 1.332 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.332 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.332 * [backup-simplify]: Simplify (- 0) into 0 1.333 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.333 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 1.333 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.333 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.333 * [taylor]: Taking taylor expansion of 1 in J 1.333 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify (+ 0) into 0 1.334 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.334 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.336 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.336 * [backup-simplify]: Simplify (- 0) into 0 1.336 * [backup-simplify]: Simplify (+ 0 0) into 0 1.337 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.337 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 1.337 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.337 * [taylor]: Taking taylor expansion of 0 in J 1.337 * [backup-simplify]: Simplify 0 into 0 1.338 * [taylor]: Taking taylor expansion of 1 in K 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify (* 1 1) into 1 1.339 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.340 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.342 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.343 * [backup-simplify]: Simplify (- 0) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.347 * [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 1.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.349 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.350 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.352 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.353 * [backup-simplify]: Simplify (- 0) into 0 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.355 * [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 1.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.357 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 1.357 * [backup-simplify]: Simplify (+ 1 0) into 1 1.358 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.359 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.360 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.361 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.361 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.362 * [backup-simplify]: Simplify (- 0) into 0 1.362 * [backup-simplify]: Simplify (+ 0 0) into 0 1.363 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 1.363 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.364 * [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))) 1.364 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.364 * [taylor]: Taking taylor expansion of 2 in J 1.364 * [backup-simplify]: Simplify 2 into 2 1.364 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.364 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.364 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.364 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.364 * [taylor]: Taking taylor expansion of -1/2 in J 1.364 * [backup-simplify]: Simplify -1/2 into -1/2 1.364 * [taylor]: Taking taylor expansion of K in J 1.364 * [backup-simplify]: Simplify K into K 1.364 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.365 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.365 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.365 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.365 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.365 * [backup-simplify]: Simplify (- 0) into 0 1.365 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.365 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.365 * [taylor]: Taking taylor expansion of J in J 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.366 * [backup-simplify]: Simplify (* 1 1) into 1 1.366 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.366 * [backup-simplify]: Simplify (+ 0) into 0 1.367 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.367 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.368 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.368 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.369 * [backup-simplify]: Simplify (- 0) into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.369 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.371 * [taylor]: Taking taylor expansion of 0 in K 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 0 into 0 1.372 * [taylor]: Taking taylor expansion of 0 in K 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [taylor]: Taking taylor expansion of 0 in K 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.376 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.376 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.378 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.378 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.379 * [backup-simplify]: Simplify (- 0) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.381 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 1.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.386 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.386 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.387 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.388 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.389 * [backup-simplify]: Simplify (- 0) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.390 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 1.393 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.395 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.395 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.397 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.398 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.398 * [backup-simplify]: Simplify (- 0) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.400 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 1.401 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.401 * [taylor]: Taking taylor expansion of 0 in J 1.401 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.403 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.403 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.404 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.404 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.409 * [taylor]: Taking taylor expansion of 0 in K 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [taylor]: Taking taylor expansion of 0 in K 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.409 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.409 * [backup-simplify]: Simplify (/ U (* J (* (cos (/ K 2)) 2))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.409 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 1.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.409 * [taylor]: Taking taylor expansion of 1/2 in K 1.410 * [backup-simplify]: Simplify 1/2 into 1/2 1.410 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.410 * [taylor]: Taking taylor expansion of U in K 1.410 * [backup-simplify]: Simplify U into U 1.410 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.410 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.410 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.410 * [taylor]: Taking taylor expansion of 1/2 in K 1.410 * [backup-simplify]: Simplify 1/2 into 1/2 1.410 * [taylor]: Taking taylor expansion of K in K 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.411 * [taylor]: Taking taylor expansion of J in K 1.411 * [backup-simplify]: Simplify J into J 1.411 * [backup-simplify]: Simplify (* 1 J) into J 1.411 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.411 * [taylor]: Taking taylor expansion of 1/2 in J 1.411 * [backup-simplify]: Simplify 1/2 into 1/2 1.411 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.411 * [taylor]: Taking taylor expansion of U in J 1.411 * [backup-simplify]: Simplify U into U 1.411 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.411 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.411 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.411 * [taylor]: Taking taylor expansion of 1/2 in J 1.411 * [backup-simplify]: Simplify 1/2 into 1/2 1.412 * [taylor]: Taking taylor expansion of K in J 1.412 * [backup-simplify]: Simplify K into K 1.412 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.412 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.412 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.412 * [taylor]: Taking taylor expansion of J in J 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.412 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.412 * [backup-simplify]: Simplify (- 0) into 0 1.412 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.413 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.413 * [backup-simplify]: Simplify (+ 0) into 0 1.414 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.416 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.416 * [backup-simplify]: Simplify (- 0) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.417 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.417 * [taylor]: Taking taylor expansion of 1/2 in U 1.417 * [backup-simplify]: Simplify 1/2 into 1/2 1.417 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.417 * [taylor]: Taking taylor expansion of U in U 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.417 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.417 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.417 * [taylor]: Taking taylor expansion of 1/2 in U 1.417 * [backup-simplify]: Simplify 1/2 into 1/2 1.417 * [taylor]: Taking taylor expansion of K in U 1.417 * [backup-simplify]: Simplify K into K 1.417 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.418 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.418 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.418 * [taylor]: Taking taylor expansion of J in U 1.418 * [backup-simplify]: Simplify J into J 1.418 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.418 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.418 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.419 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.419 * [taylor]: Taking taylor expansion of 1/2 in U 1.419 * [backup-simplify]: Simplify 1/2 into 1/2 1.419 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.419 * [taylor]: Taking taylor expansion of U in U 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.419 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.419 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.419 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.419 * [taylor]: Taking taylor expansion of 1/2 in U 1.419 * [backup-simplify]: Simplify 1/2 into 1/2 1.419 * [taylor]: Taking taylor expansion of K in U 1.419 * [backup-simplify]: Simplify K into K 1.419 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.419 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.419 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.419 * [taylor]: Taking taylor expansion of J in U 1.419 * [backup-simplify]: Simplify J into J 1.419 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.419 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.419 * [backup-simplify]: Simplify (- 0) into 0 1.420 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.420 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.420 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.420 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.420 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 1.420 * [taylor]: Taking taylor expansion of 1/2 in J 1.420 * [backup-simplify]: Simplify 1/2 into 1/2 1.420 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.420 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.420 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.420 * [taylor]: Taking taylor expansion of 1/2 in J 1.420 * [backup-simplify]: Simplify 1/2 into 1/2 1.420 * [taylor]: Taking taylor expansion of K in J 1.420 * [backup-simplify]: Simplify K into K 1.420 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.420 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.420 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.420 * [taylor]: Taking taylor expansion of J in J 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.420 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.420 * [backup-simplify]: Simplify (- 0) into 0 1.421 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.421 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.421 * [backup-simplify]: Simplify (+ 0) into 0 1.421 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.422 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.422 * [backup-simplify]: Simplify (- 0) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.423 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 1.423 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 1.423 * [taylor]: Taking taylor expansion of 1/2 in K 1.423 * [backup-simplify]: Simplify 1/2 into 1/2 1.423 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.423 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.423 * [taylor]: Taking taylor expansion of 1/2 in K 1.423 * [backup-simplify]: Simplify 1/2 into 1/2 1.423 * [taylor]: Taking taylor expansion of K in K 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.424 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.424 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.424 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.424 * [backup-simplify]: Simplify 1/2 into 1/2 1.425 * [backup-simplify]: Simplify (+ 0) into 0 1.425 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.426 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.426 * [backup-simplify]: Simplify (- 0) into 0 1.426 * [backup-simplify]: Simplify (+ 0 0) into 0 1.426 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.427 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.427 * [taylor]: Taking taylor expansion of 0 in J 1.427 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.428 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.429 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.430 * [backup-simplify]: Simplify (- 0) into 0 1.430 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.430 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.430 * [taylor]: Taking taylor expansion of 0 in K 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify (+ 0) into 0 1.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.432 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.433 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.434 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.434 * [backup-simplify]: Simplify (- 0) into 0 1.434 * [backup-simplify]: Simplify (+ 0 0) into 0 1.434 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.435 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 1.435 * [taylor]: Taking taylor expansion of 0 in J 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [taylor]: Taking taylor expansion of 0 in K 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.436 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.438 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.439 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.439 * [backup-simplify]: Simplify (- 0) into 0 1.439 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 1.440 * [taylor]: Taking taylor expansion of 0 in K 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 1.441 * [backup-simplify]: Simplify 1/16 into 1/16 1.442 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.443 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.445 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.445 * [backup-simplify]: Simplify (- 0) into 0 1.445 * [backup-simplify]: Simplify (+ 0 0) into 0 1.446 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.446 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 1.447 * [taylor]: Taking taylor expansion of 0 in J 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [taylor]: Taking taylor expansion of 0 in K 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [taylor]: Taking taylor expansion of 0 in K 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.451 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.452 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.454 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.454 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.455 * [backup-simplify]: Simplify (- 0) into 0 1.455 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.457 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 1.457 * [taylor]: Taking taylor expansion of 0 in K 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 1.457 * [backup-simplify]: Simplify (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.457 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 1.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.458 * [taylor]: Taking taylor expansion of 1/2 in K 1.458 * [backup-simplify]: Simplify 1/2 into 1/2 1.458 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.458 * [taylor]: Taking taylor expansion of J in K 1.458 * [backup-simplify]: Simplify J into J 1.458 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.458 * [taylor]: Taking taylor expansion of U in K 1.458 * [backup-simplify]: Simplify U into U 1.458 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.458 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.458 * [taylor]: Taking taylor expansion of 1/2 in K 1.458 * [backup-simplify]: Simplify 1/2 into 1/2 1.458 * [taylor]: Taking taylor expansion of K in K 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.459 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.459 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.459 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.459 * [taylor]: Taking taylor expansion of 1/2 in J 1.459 * [backup-simplify]: Simplify 1/2 into 1/2 1.459 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.459 * [taylor]: Taking taylor expansion of J in J 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.459 * [taylor]: Taking taylor expansion of U in J 1.459 * [backup-simplify]: Simplify U into U 1.459 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.459 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.459 * [taylor]: Taking taylor expansion of 1/2 in J 1.459 * [backup-simplify]: Simplify 1/2 into 1/2 1.459 * [taylor]: Taking taylor expansion of K in J 1.459 * [backup-simplify]: Simplify K into K 1.459 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.459 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.459 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.460 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.460 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.460 * [backup-simplify]: Simplify (- 0) into 0 1.460 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.460 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.460 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.460 * [taylor]: Taking taylor expansion of 1/2 in U 1.460 * [backup-simplify]: Simplify 1/2 into 1/2 1.460 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.460 * [taylor]: Taking taylor expansion of J in U 1.460 * [backup-simplify]: Simplify J into J 1.460 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.461 * [taylor]: Taking taylor expansion of U in U 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.461 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.461 * [taylor]: Taking taylor expansion of 1/2 in U 1.461 * [backup-simplify]: Simplify 1/2 into 1/2 1.461 * [taylor]: Taking taylor expansion of K in U 1.461 * [backup-simplify]: Simplify K into K 1.461 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.461 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.461 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.461 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.461 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.461 * [backup-simplify]: Simplify (- 0) into 0 1.461 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.462 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.462 * [backup-simplify]: Simplify (+ 0) into 0 1.462 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.463 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.464 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.464 * [backup-simplify]: Simplify (- 0) into 0 1.465 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.465 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.465 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.465 * [taylor]: Taking taylor expansion of 1/2 in U 1.465 * [backup-simplify]: Simplify 1/2 into 1/2 1.466 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.466 * [taylor]: Taking taylor expansion of J in U 1.466 * [backup-simplify]: Simplify J into J 1.466 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.466 * [taylor]: Taking taylor expansion of U in U 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.466 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.466 * [taylor]: Taking taylor expansion of 1/2 in U 1.466 * [backup-simplify]: Simplify 1/2 into 1/2 1.466 * [taylor]: Taking taylor expansion of K in U 1.466 * [backup-simplify]: Simplify K into K 1.466 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.466 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.466 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.466 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.466 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.467 * [backup-simplify]: Simplify (- 0) into 0 1.467 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.467 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.467 * [backup-simplify]: Simplify (+ 0) into 0 1.468 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.468 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.469 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.469 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.469 * [backup-simplify]: Simplify (- 0) into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.470 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.470 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.471 * [taylor]: Taking taylor expansion of 1/2 in J 1.471 * [backup-simplify]: Simplify 1/2 into 1/2 1.471 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.471 * [taylor]: Taking taylor expansion of J in J 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.471 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.471 * [taylor]: Taking taylor expansion of 1/2 in J 1.471 * [backup-simplify]: Simplify 1/2 into 1/2 1.471 * [taylor]: Taking taylor expansion of K in J 1.471 * [backup-simplify]: Simplify K into K 1.471 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.471 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.471 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.471 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.471 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.472 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.472 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.472 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.472 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 1.472 * [taylor]: Taking taylor expansion of 1/2 in K 1.472 * [backup-simplify]: Simplify 1/2 into 1/2 1.472 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.472 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.472 * [taylor]: Taking taylor expansion of 1/2 in K 1.472 * [backup-simplify]: Simplify 1/2 into 1/2 1.472 * [taylor]: Taking taylor expansion of K in K 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.473 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.473 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.473 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.473 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.474 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.474 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.475 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.477 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.479 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.479 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.481 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.481 * [taylor]: Taking taylor expansion of 0 in J 1.481 * [backup-simplify]: Simplify 0 into 0 1.482 * [taylor]: Taking taylor expansion of 0 in K 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (+ 0) into 0 1.482 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.483 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.484 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.484 * [backup-simplify]: Simplify (- 0) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.485 * [taylor]: Taking taylor expansion of 0 in K 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.488 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.489 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.490 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.491 * [backup-simplify]: Simplify (- 0) into 0 1.491 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.492 * [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 1.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.493 * [taylor]: Taking taylor expansion of 0 in J 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [taylor]: Taking taylor expansion of 0 in K 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [taylor]: Taking taylor expansion of 0 in K 1.493 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.495 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.496 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.496 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.497 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.497 * [backup-simplify]: Simplify (- 0) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 1.499 * [taylor]: Taking taylor expansion of 0 in K 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.499 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.499 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 1.499 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.499 * [taylor]: Taking taylor expansion of 1/2 in K 1.500 * [backup-simplify]: Simplify 1/2 into 1/2 1.500 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.500 * [taylor]: Taking taylor expansion of J in K 1.500 * [backup-simplify]: Simplify J into J 1.500 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.500 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.500 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.500 * [taylor]: Taking taylor expansion of -1/2 in K 1.500 * [backup-simplify]: Simplify -1/2 into -1/2 1.500 * [taylor]: Taking taylor expansion of K in K 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.500 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.500 * [taylor]: Taking taylor expansion of U in K 1.500 * [backup-simplify]: Simplify U into U 1.500 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.501 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.501 * [taylor]: Taking taylor expansion of 1/2 in J 1.501 * [backup-simplify]: Simplify 1/2 into 1/2 1.501 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.501 * [taylor]: Taking taylor expansion of J in J 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.501 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.501 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.501 * [taylor]: Taking taylor expansion of -1/2 in J 1.501 * [backup-simplify]: Simplify -1/2 into -1/2 1.501 * [taylor]: Taking taylor expansion of K in J 1.501 * [backup-simplify]: Simplify K into K 1.501 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.501 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.501 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.501 * [taylor]: Taking taylor expansion of U in J 1.501 * [backup-simplify]: Simplify U into U 1.501 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.501 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.502 * [backup-simplify]: Simplify (- 0) into 0 1.502 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.502 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.502 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.502 * [taylor]: Taking taylor expansion of 1/2 in U 1.502 * [backup-simplify]: Simplify 1/2 into 1/2 1.502 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.502 * [taylor]: Taking taylor expansion of J in U 1.502 * [backup-simplify]: Simplify J into J 1.502 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.502 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.502 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.502 * [taylor]: Taking taylor expansion of -1/2 in U 1.502 * [backup-simplify]: Simplify -1/2 into -1/2 1.502 * [taylor]: Taking taylor expansion of K in U 1.502 * [backup-simplify]: Simplify K into K 1.503 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.503 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.503 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.503 * [taylor]: Taking taylor expansion of U in U 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.503 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.503 * [backup-simplify]: Simplify (- 0) into 0 1.503 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.504 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.504 * [backup-simplify]: Simplify (+ 0) into 0 1.504 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.505 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.505 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.506 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.506 * [backup-simplify]: Simplify (- 0) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.507 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.507 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.507 * [taylor]: Taking taylor expansion of 1/2 in U 1.507 * [backup-simplify]: Simplify 1/2 into 1/2 1.507 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.507 * [taylor]: Taking taylor expansion of J in U 1.507 * [backup-simplify]: Simplify J into J 1.507 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.507 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.507 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.507 * [taylor]: Taking taylor expansion of -1/2 in U 1.507 * [backup-simplify]: Simplify -1/2 into -1/2 1.508 * [taylor]: Taking taylor expansion of K in U 1.508 * [backup-simplify]: Simplify K into K 1.508 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.508 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.508 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.508 * [taylor]: Taking taylor expansion of U in U 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.508 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.508 * [backup-simplify]: Simplify (- 0) into 0 1.508 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.509 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.509 * [backup-simplify]: Simplify (+ 0) into 0 1.510 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.510 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.511 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.511 * [backup-simplify]: Simplify (- 0) into 0 1.512 * [backup-simplify]: Simplify (+ 0 0) into 0 1.512 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.512 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.512 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.512 * [taylor]: Taking taylor expansion of 1/2 in J 1.512 * [backup-simplify]: Simplify 1/2 into 1/2 1.513 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.513 * [taylor]: Taking taylor expansion of J in J 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.513 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.513 * [taylor]: Taking taylor expansion of -1/2 in J 1.513 * [backup-simplify]: Simplify -1/2 into -1/2 1.513 * [taylor]: Taking taylor expansion of K in J 1.513 * [backup-simplify]: Simplify K into K 1.513 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.513 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.513 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.513 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.514 * [backup-simplify]: Simplify (- 0) into 0 1.514 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.514 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.514 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.514 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 1.514 * [taylor]: Taking taylor expansion of 1/2 in K 1.514 * [backup-simplify]: Simplify 1/2 into 1/2 1.514 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.514 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.514 * [taylor]: Taking taylor expansion of -1/2 in K 1.514 * [backup-simplify]: Simplify -1/2 into -1/2 1.514 * [taylor]: Taking taylor expansion of K in K 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.515 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.515 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.515 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.516 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.517 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.517 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.518 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.518 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.519 * [backup-simplify]: Simplify (- 0) into 0 1.519 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.520 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.521 * [taylor]: Taking taylor expansion of 0 in J 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [taylor]: Taking taylor expansion of 0 in K 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (+ 0) into 0 1.522 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.522 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.523 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.523 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.524 * [backup-simplify]: Simplify (- 0) into 0 1.524 * [backup-simplify]: Simplify (+ 0 0) into 0 1.524 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.525 * [taylor]: Taking taylor expansion of 0 in K 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.525 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.527 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.530 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.530 * [backup-simplify]: Simplify (- 0) into 0 1.530 * [backup-simplify]: Simplify (+ 0 0) into 0 1.531 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.532 * [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 1.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.533 * [taylor]: Taking taylor expansion of 0 in J 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [taylor]: Taking taylor expansion of 0 in K 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [taylor]: Taking taylor expansion of 0 in K 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.535 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.535 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.536 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.536 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.537 * [backup-simplify]: Simplify (- 0) into 0 1.537 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 1.538 * [taylor]: Taking taylor expansion of 0 in K 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.539 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.539 * [backup-simplify]: Simplify (* J (* (cos (/ K 2)) 2)) into (* 2 (* (cos (* 1/2 K)) J)) 1.539 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 1.539 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 1.539 * [taylor]: Taking taylor expansion of 2 in K 1.539 * [backup-simplify]: Simplify 2 into 2 1.539 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.539 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.539 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.539 * [taylor]: Taking taylor expansion of 1/2 in K 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.539 * [taylor]: Taking taylor expansion of K in K 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.540 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.540 * [taylor]: Taking taylor expansion of J in K 1.540 * [backup-simplify]: Simplify J into J 1.541 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 1.541 * [taylor]: Taking taylor expansion of 2 in J 1.541 * [backup-simplify]: Simplify 2 into 2 1.541 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.541 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.541 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.541 * [taylor]: Taking taylor expansion of 1/2 in J 1.541 * [backup-simplify]: Simplify 1/2 into 1/2 1.541 * [taylor]: Taking taylor expansion of K in J 1.541 * [backup-simplify]: Simplify K into K 1.541 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.541 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.541 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.541 * [taylor]: Taking taylor expansion of J in J 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 1.541 * [taylor]: Taking taylor expansion of 2 in J 1.541 * [backup-simplify]: Simplify 2 into 2 1.541 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.541 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.541 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.541 * [taylor]: Taking taylor expansion of 1/2 in J 1.541 * [backup-simplify]: Simplify 1/2 into 1/2 1.541 * [taylor]: Taking taylor expansion of K in J 1.541 * [backup-simplify]: Simplify K into K 1.541 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.541 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.541 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.541 * [taylor]: Taking taylor expansion of J in J 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.542 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.542 * [backup-simplify]: Simplify (- 0) into 0 1.542 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.542 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.543 * [backup-simplify]: Simplify (* 2 0) into 0 1.543 * [taylor]: Taking taylor expansion of 0 in K 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (+ 0) into 0 1.544 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.545 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.546 * [backup-simplify]: Simplify (- 0) into 0 1.546 * [backup-simplify]: Simplify (+ 0 0) into 0 1.547 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.547 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 1.547 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 1.547 * [taylor]: Taking taylor expansion of 2 in K 1.547 * [backup-simplify]: Simplify 2 into 2 1.547 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.547 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.547 * [taylor]: Taking taylor expansion of 1/2 in K 1.547 * [backup-simplify]: Simplify 1/2 into 1/2 1.547 * [taylor]: Taking taylor expansion of K in K 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.548 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.549 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.549 * [backup-simplify]: Simplify (* 2 1) into 2 1.549 * [backup-simplify]: Simplify 2 into 2 1.549 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.551 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.552 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.553 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.553 * [backup-simplify]: Simplify (- 0) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.555 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 1.555 * [taylor]: Taking taylor expansion of 0 in K 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ 0) into 0 1.556 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.558 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.561 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.561 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.562 * [backup-simplify]: Simplify (- 0) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.563 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.564 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 1.564 * [taylor]: Taking taylor expansion of 0 in K 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 1.565 * [backup-simplify]: Simplify (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)) into (* 2 (/ (cos (/ 1/2 K)) J)) 1.565 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 1.565 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 1.565 * [taylor]: Taking taylor expansion of 2 in K 1.565 * [backup-simplify]: Simplify 2 into 2 1.565 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.565 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.565 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.565 * [taylor]: Taking taylor expansion of 1/2 in K 1.565 * [backup-simplify]: Simplify 1/2 into 1/2 1.565 * [taylor]: Taking taylor expansion of K in K 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.565 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.565 * [taylor]: Taking taylor expansion of J in K 1.565 * [backup-simplify]: Simplify J into J 1.566 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.566 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 1.566 * [taylor]: Taking taylor expansion of 2 in J 1.566 * [backup-simplify]: Simplify 2 into 2 1.566 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.566 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.566 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.566 * [taylor]: Taking taylor expansion of 1/2 in J 1.566 * [backup-simplify]: Simplify 1/2 into 1/2 1.566 * [taylor]: Taking taylor expansion of K in J 1.566 * [backup-simplify]: Simplify K into K 1.566 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.566 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.566 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.566 * [taylor]: Taking taylor expansion of J in J 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.566 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.567 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.567 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.567 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 1.567 * [taylor]: Taking taylor expansion of 2 in J 1.567 * [backup-simplify]: Simplify 2 into 2 1.567 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.567 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.567 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.567 * [taylor]: Taking taylor expansion of 1/2 in J 1.567 * [backup-simplify]: Simplify 1/2 into 1/2 1.567 * [taylor]: Taking taylor expansion of K in J 1.567 * [backup-simplify]: Simplify K into K 1.567 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.567 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.567 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.567 * [taylor]: Taking taylor expansion of J in J 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.568 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.568 * [backup-simplify]: Simplify (- 0) into 0 1.568 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.568 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.568 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.568 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 1.568 * [taylor]: Taking taylor expansion of 2 in K 1.568 * [backup-simplify]: Simplify 2 into 2 1.568 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.568 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.568 * [taylor]: Taking taylor expansion of 1/2 in K 1.569 * [backup-simplify]: Simplify 1/2 into 1/2 1.569 * [taylor]: Taking taylor expansion of K in K 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.569 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.569 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.569 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.570 * [backup-simplify]: Simplify (+ 0) into 0 1.570 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.570 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.572 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.572 * [backup-simplify]: Simplify (- 0) into 0 1.572 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.575 * [taylor]: Taking taylor expansion of 0 in K 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.577 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.578 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.579 * [backup-simplify]: Simplify (- 0) into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.582 * [taylor]: Taking taylor expansion of 0 in K 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.585 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.585 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.587 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.587 * [backup-simplify]: Simplify (- 0) into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.591 * [taylor]: Taking taylor expansion of 0 in K 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 1.591 * [backup-simplify]: Simplify (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)) into (* -2 (/ (cos (/ -1/2 K)) J)) 1.591 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 1.592 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 1.592 * [taylor]: Taking taylor expansion of -2 in K 1.592 * [backup-simplify]: Simplify -2 into -2 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 1) into -1/2 1.592 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.592 * [taylor]: Taking taylor expansion of J in K 1.592 * [backup-simplify]: Simplify J into J 1.592 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.592 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 1.593 * [taylor]: Taking taylor expansion of -2 in J 1.593 * [backup-simplify]: Simplify -2 into -2 1.593 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.593 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.593 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.593 * [taylor]: Taking taylor expansion of -1/2 in J 1.593 * [backup-simplify]: Simplify -1/2 into -1/2 1.593 * [taylor]: Taking taylor expansion of K in J 1.593 * [backup-simplify]: Simplify K into K 1.593 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.593 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.593 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.593 * [taylor]: Taking taylor expansion of J in J 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.593 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.594 * [backup-simplify]: Simplify (- 0) into 0 1.594 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.594 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.594 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 1.594 * [taylor]: Taking taylor expansion of -2 in J 1.594 * [backup-simplify]: Simplify -2 into -2 1.594 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.594 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.594 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.594 * [taylor]: Taking taylor expansion of -1/2 in J 1.594 * [backup-simplify]: Simplify -1/2 into -1/2 1.594 * [taylor]: Taking taylor expansion of K in J 1.594 * [backup-simplify]: Simplify K into K 1.594 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.594 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.594 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.594 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.595 * [backup-simplify]: Simplify (- 0) into 0 1.595 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.595 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.595 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.595 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 1.595 * [taylor]: Taking taylor expansion of -2 in K 1.595 * [backup-simplify]: Simplify -2 into -2 1.595 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.595 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.595 * [taylor]: Taking taylor expansion of -1/2 in K 1.595 * [backup-simplify]: Simplify -1/2 into -1/2 1.595 * [taylor]: Taking taylor expansion of K in K 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.596 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.596 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.596 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.597 * [backup-simplify]: Simplify (+ 0) into 0 1.597 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.597 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.598 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.598 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.601 * [taylor]: Taking taylor expansion of 0 in K 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.603 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.603 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.604 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.604 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.605 * [backup-simplify]: Simplify (- 0) into 0 1.605 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.607 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.607 * [taylor]: Taking taylor expansion of 0 in K 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.608 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.610 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.613 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.616 * [taylor]: Taking taylor expansion of 0 in K 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 1.617 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.617 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.617 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 1.617 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.617 * [taylor]: Taking taylor expansion of -2 in J 1.617 * [backup-simplify]: Simplify -2 into -2 1.617 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.617 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.617 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.617 * [taylor]: Taking taylor expansion of 1/2 in J 1.617 * [backup-simplify]: Simplify 1/2 into 1/2 1.617 * [taylor]: Taking taylor expansion of K in J 1.617 * [backup-simplify]: Simplify K into K 1.617 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.617 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.617 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.618 * [taylor]: Taking taylor expansion of J in J 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.618 * [taylor]: Taking taylor expansion of -2 in K 1.618 * [backup-simplify]: Simplify -2 into -2 1.618 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.618 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.618 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.618 * [taylor]: Taking taylor expansion of 1/2 in K 1.618 * [backup-simplify]: Simplify 1/2 into 1/2 1.618 * [taylor]: Taking taylor expansion of K in K 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.619 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.619 * [taylor]: Taking taylor expansion of J in K 1.619 * [backup-simplify]: Simplify J into J 1.619 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.619 * [taylor]: Taking taylor expansion of -2 in K 1.619 * [backup-simplify]: Simplify -2 into -2 1.619 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.619 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.619 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.619 * [taylor]: Taking taylor expansion of 1/2 in K 1.619 * [backup-simplify]: Simplify 1/2 into 1/2 1.619 * [taylor]: Taking taylor expansion of K in K 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.620 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.620 * [taylor]: Taking taylor expansion of J in K 1.620 * [backup-simplify]: Simplify J into J 1.620 * [backup-simplify]: Simplify (* 1 J) into J 1.620 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.620 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.620 * [taylor]: Taking taylor expansion of -2 in J 1.620 * [backup-simplify]: Simplify -2 into -2 1.620 * [taylor]: Taking taylor expansion of J in J 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (* -2 0) into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (+ 0) into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.621 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.621 * [taylor]: Taking taylor expansion of 0 in J 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.622 * [backup-simplify]: Simplify -2 into -2 1.623 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.625 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.625 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.625 * [taylor]: Taking taylor expansion of 1/4 in J 1.625 * [backup-simplify]: Simplify 1/4 into 1/4 1.625 * [taylor]: Taking taylor expansion of J in J 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.628 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.629 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.629 * [taylor]: Taking taylor expansion of 0 in J 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 1.630 * [backup-simplify]: Simplify 1/4 into 1/4 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.634 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 1.634 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 1.634 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 1.634 * [taylor]: Taking taylor expansion of 1/192 in J 1.635 * [backup-simplify]: Simplify 1/192 into 1/192 1.635 * [taylor]: Taking taylor expansion of J in J 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [backup-simplify]: Simplify (* 1/192 0) into 0 1.635 * [backup-simplify]: Simplify (- 0) into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 1.636 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))) into (* -2 (/ (cos (/ 1/2 K)) J)) 1.636 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 1.636 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 1.636 * [taylor]: Taking taylor expansion of -2 in J 1.636 * [backup-simplify]: Simplify -2 into -2 1.636 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.636 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.636 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.636 * [taylor]: Taking taylor expansion of 1/2 in J 1.636 * [backup-simplify]: Simplify 1/2 into 1/2 1.636 * [taylor]: Taking taylor expansion of K in J 1.636 * [backup-simplify]: Simplify K into K 1.636 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.636 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.636 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.636 * [taylor]: Taking taylor expansion of J in J 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.636 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.637 * [backup-simplify]: Simplify (- 0) into 0 1.637 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.637 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.637 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 1.637 * [taylor]: Taking taylor expansion of -2 in K 1.637 * [backup-simplify]: Simplify -2 into -2 1.637 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.637 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.637 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.637 * [taylor]: Taking taylor expansion of 1/2 in K 1.637 * [backup-simplify]: Simplify 1/2 into 1/2 1.637 * [taylor]: Taking taylor expansion of K in K 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.637 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.637 * [taylor]: Taking taylor expansion of J in K 1.637 * [backup-simplify]: Simplify J into J 1.637 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.637 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 1.637 * [taylor]: Taking taylor expansion of -2 in K 1.637 * [backup-simplify]: Simplify -2 into -2 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 1.638 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.638 * [taylor]: Taking taylor expansion of J in K 1.638 * [backup-simplify]: Simplify J into J 1.638 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.638 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 1.638 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 1.638 * [taylor]: Taking taylor expansion of -2 in J 1.638 * [backup-simplify]: Simplify -2 into -2 1.638 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.638 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.638 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.638 * [taylor]: Taking taylor expansion of 1/2 in J 1.638 * [backup-simplify]: Simplify 1/2 into 1/2 1.638 * [taylor]: Taking taylor expansion of K in J 1.638 * [backup-simplify]: Simplify K into K 1.638 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.638 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.638 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.638 * [taylor]: Taking taylor expansion of J in J 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.639 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.639 * [backup-simplify]: Simplify (- 0) into 0 1.639 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.639 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.639 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 1.639 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 1.639 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.639 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.639 * [taylor]: Taking taylor expansion of 0 in J 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (+ 0) into 0 1.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.641 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.641 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.641 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [backup-simplify]: Simplify (+ 0 0) into 0 1.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.642 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.643 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 1.643 * [taylor]: Taking taylor expansion of 0 in J 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.644 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.644 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.645 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.645 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.645 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.648 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 1.648 * [taylor]: Taking taylor expansion of 0 in J 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.649 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.650 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.650 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.651 * [backup-simplify]: Simplify (- 0) into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.654 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 1.654 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))) into (* 2 (/ (cos (/ -1/2 K)) J)) 1.654 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.654 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 1.654 * [taylor]: Taking taylor expansion of 2 in J 1.654 * [backup-simplify]: Simplify 2 into 2 1.654 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.654 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.654 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.655 * [taylor]: Taking taylor expansion of -1/2 in J 1.655 * [backup-simplify]: Simplify -1/2 into -1/2 1.655 * [taylor]: Taking taylor expansion of K in J 1.655 * [backup-simplify]: Simplify K into K 1.655 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.655 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.655 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.655 * [taylor]: Taking taylor expansion of J in J 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.655 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.655 * [backup-simplify]: Simplify (- 0) into 0 1.656 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.656 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.656 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 1.656 * [taylor]: Taking taylor expansion of 2 in K 1.656 * [backup-simplify]: Simplify 2 into 2 1.656 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.656 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.656 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.656 * [taylor]: Taking taylor expansion of -1/2 in K 1.656 * [backup-simplify]: Simplify -1/2 into -1/2 1.656 * [taylor]: Taking taylor expansion of K in K 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.656 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.656 * [taylor]: Taking taylor expansion of J in K 1.657 * [backup-simplify]: Simplify J into J 1.657 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.657 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 1.657 * [taylor]: Taking taylor expansion of 2 in K 1.657 * [backup-simplify]: Simplify 2 into 2 1.657 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.657 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.657 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.657 * [taylor]: Taking taylor expansion of -1/2 in K 1.657 * [backup-simplify]: Simplify -1/2 into -1/2 1.657 * [taylor]: Taking taylor expansion of K in K 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.657 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.657 * [taylor]: Taking taylor expansion of J in K 1.657 * [backup-simplify]: Simplify J into J 1.658 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.658 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 1.658 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 1.658 * [taylor]: Taking taylor expansion of 2 in J 1.658 * [backup-simplify]: Simplify 2 into 2 1.658 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.658 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.658 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.658 * [taylor]: Taking taylor expansion of -1/2 in J 1.658 * [backup-simplify]: Simplify -1/2 into -1/2 1.658 * [taylor]: Taking taylor expansion of K in J 1.658 * [backup-simplify]: Simplify K into K 1.658 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.658 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.658 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.658 * [taylor]: Taking taylor expansion of J in J 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.658 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.659 * [backup-simplify]: Simplify (- 0) into 0 1.659 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.659 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.659 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 1.659 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 1.659 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.660 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.660 * [taylor]: Taking taylor expansion of 0 in J 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify (+ 0) into 0 1.661 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.661 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.662 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.663 * [backup-simplify]: Simplify (- 0) into 0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.666 * [taylor]: Taking taylor expansion of 0 in J 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.667 * [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 1.669 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.669 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.673 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.673 * [taylor]: Taking taylor expansion of 0 in J 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.676 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.677 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.678 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.678 * [backup-simplify]: Simplify (- 0) into 0 1.679 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 1.682 * * * [progress]: simplifying candidates 1.682 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 1.682 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 1.682 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 1.683 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) 1.683 * * [simplify]: iters left: 6 (15 enodes) 1.691 * * [simplify]: iters left: 5 (60 enodes) 1.712 * * [simplify]: iters left: 4 (102 enodes) 1.742 * * [simplify]: iters left: 3 (148 enodes) 1.766 * * [simplify]: iters left: 2 (169 enodes) 1.802 * * [simplify]: Extracting #0: cost 1 inf + 0 1.802 * * [simplify]: Extracting #1: cost 16 inf + 0 1.803 * * [simplify]: Extracting #2: cost 29 inf + 2 1.803 * * [simplify]: Extracting #3: cost 37 inf + 87 1.803 * * [simplify]: Extracting #4: cost 41 inf + 174 1.804 * * [simplify]: Extracting #5: cost 30 inf + 1953 1.807 * * [simplify]: Extracting #6: cost 8 inf + 6795 1.811 * * [simplify]: Extracting #7: cost 0 inf + 9302 1.816 * [simplify]: Simplified to (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1.816 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1)) 1.816 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 1.817 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) 1.817 * * [simplify]: iters left: 6 (15 enodes) 1.826 * * [simplify]: iters left: 5 (60 enodes) 1.847 * * [simplify]: iters left: 4 (102 enodes) 1.883 * * [simplify]: iters left: 3 (148 enodes) 1.906 * * [simplify]: iters left: 2 (169 enodes) 1.933 * * [simplify]: Extracting #0: cost 1 inf + 0 1.933 * * [simplify]: Extracting #1: cost 16 inf + 0 1.934 * * [simplify]: Extracting #2: cost 29 inf + 2 1.934 * * [simplify]: Extracting #3: cost 37 inf + 87 1.934 * * [simplify]: Extracting #4: cost 41 inf + 174 1.935 * * [simplify]: Extracting #5: cost 30 inf + 1953 1.938 * * [simplify]: Extracting #6: cost 8 inf + 6795 1.943 * * [simplify]: Extracting #7: cost 0 inf + 9302 1.947 * [simplify]: Simplified to (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1.947 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1)) 1.948 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 1.948 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) 1.948 * * [simplify]: iters left: 6 (15 enodes) 1.956 * * [simplify]: iters left: 5 (60 enodes) 1.977 * * [simplify]: iters left: 4 (102 enodes) 2.012 * * [simplify]: iters left: 3 (148 enodes) 2.043 * * [simplify]: iters left: 2 (169 enodes) 2.065 * * [simplify]: Extracting #0: cost 1 inf + 0 2.065 * * [simplify]: Extracting #1: cost 16 inf + 0 2.065 * * [simplify]: Extracting #2: cost 29 inf + 2 2.066 * * [simplify]: Extracting #3: cost 37 inf + 87 2.066 * * [simplify]: Extracting #4: cost 41 inf + 174 2.067 * * [simplify]: Extracting #5: cost 30 inf + 1953 2.069 * * [simplify]: Extracting #6: cost 8 inf + 6795 2.074 * * [simplify]: Extracting #7: cost 0 inf + 9302 2.078 * [simplify]: Simplified to (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 2.079 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1)) 2.079 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 2.079 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 2.079 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) 2.079 * * [simplify]: iters left: 6 (19 enodes) 2.090 * * [simplify]: iters left: 5 (72 enodes) 2.108 * * [simplify]: iters left: 4 (116 enodes) 2.131 * * [simplify]: iters left: 3 (168 enodes) 2.159 * * [simplify]: iters left: 2 (189 enodes) 2.193 * * [simplify]: Extracting #0: cost 1 inf + 0 2.193 * * [simplify]: Extracting #1: cost 16 inf + 0 2.193 * * [simplify]: Extracting #2: cost 34 inf + 0 2.193 * * [simplify]: Extracting #3: cost 35 inf + 144 2.193 * * [simplify]: Extracting #4: cost 42 inf + 469 2.194 * * [simplify]: Extracting #5: cost 41 inf + 1491 2.195 * * [simplify]: Extracting #6: cost 20 inf + 7688 2.198 * * [simplify]: Extracting #7: cost 2 inf + 13584 2.203 * * [simplify]: Extracting #8: cost 0 inf + 14836 2.206 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (+ (log -2) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log J)))) 2.206 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cos (/ K 2))) (+ (log -2) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log J)))))) 2.206 * * * * [progress]: [ 8 / 104 ] simplifiying candidate # 2.206 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) 2.206 * * [simplify]: iters left: 6 (18 enodes) 2.212 * * [simplify]: iters left: 5 (70 enodes) 2.236 * * [simplify]: iters left: 4 (109 enodes) 2.271 * * [simplify]: iters left: 3 (158 enodes) 2.319 * * [simplify]: iters left: 2 (193 enodes) 2.355 * * [simplify]: iters left: 1 (197 enodes) 2.392 * * [simplify]: Extracting #0: cost 1 inf + 0 2.393 * * [simplify]: Extracting #1: cost 16 inf + 0 2.393 * * [simplify]: Extracting #2: cost 35 inf + 0 2.393 * * [simplify]: Extracting #3: cost 37 inf + 144 2.393 * * [simplify]: Extracting #4: cost 42 inf + 483 2.393 * * [simplify]: Extracting #5: cost 41 inf + 1435 2.395 * * [simplify]: Extracting #6: cost 18 inf + 8686 2.398 * * [simplify]: Extracting #7: cost 1 inf + 14077 2.401 * * [simplify]: Extracting #8: cost 0 inf + 14360 2.404 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log (* J -2)))) 2.404 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cos (/ K 2))) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log (* J -2)))))) 2.404 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 2.404 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log (* (cos (/ K 2)) (* -2 J)))) 2.405 * * [simplify]: iters left: 6 (17 enodes) 2.409 * * [simplify]: iters left: 5 (67 enodes) 2.424 * * [simplify]: iters left: 4 (108 enodes) 2.460 * * [simplify]: iters left: 3 (157 enodes) 2.496 * * [simplify]: iters left: 2 (203 enodes) 2.532 * * [simplify]: iters left: 1 (216 enodes) 2.587 * * [simplify]: Extracting #0: cost 1 inf + 0 2.588 * * [simplify]: Extracting #1: cost 16 inf + 0 2.588 * * [simplify]: Extracting #2: cost 38 inf + 0 2.588 * * [simplify]: Extracting #3: cost 43 inf + 115 2.589 * * [simplify]: Extracting #4: cost 47 inf + 595 2.590 * * [simplify]: Extracting #5: cost 38 inf + 3082 2.594 * * [simplify]: Extracting #6: cost 11 inf + 10399 2.597 * * [simplify]: Extracting #7: cost 0 inf + 14094 2.600 * [simplify]: Simplified to (+ (log (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J))))) (log (* (* J -2) (cos (/ K 2))))) 2.601 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J))))) (log (* (* J -2) (cos (/ K 2))))))) 2.601 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 2.601 * * * * [progress]: [ 11 / 104 ] simplifiying candidate # 2.601 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 2.601 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) 2.601 * * [simplify]: iters left: 6 (23 enodes) 2.608 * * [simplify]: iters left: 5 (97 enodes) 2.634 * * [simplify]: iters left: 4 (236 enodes) 2.735 * * [simplify]: Extracting #0: cost 1 inf + 0 2.736 * * [simplify]: Extracting #1: cost 58 inf + 0 2.736 * * [simplify]: Extracting #2: cost 248 inf + 87 2.737 * * [simplify]: Extracting #3: cost 265 inf + 1241 2.740 * * [simplify]: Extracting #4: cost 217 inf + 10239 2.749 * * [simplify]: Extracting #5: cost 95 inf + 48734 2.789 * * [simplify]: Extracting #6: cost 7 inf + 90261 2.832 * * [simplify]: Extracting #7: cost 0 inf + 94024 2.860 * [simplify]: Simplified to (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) -8)) (* J (* J J))) 2.860 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) -8)) (* J (* J J))))) 2.860 * * * * [progress]: [ 13 / 104 ] simplifiying candidate # 2.860 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) 2.861 * * [simplify]: iters left: 6 (21 enodes) 2.867 * * [simplify]: iters left: 5 (95 enodes) 2.893 * * [simplify]: iters left: 4 (234 enodes) 3.035 * * [simplify]: Extracting #0: cost 1 inf + 0 3.035 * * [simplify]: Extracting #1: cost 56 inf + 0 3.037 * * [simplify]: Extracting #2: cost 215 inf + 291 3.039 * * [simplify]: Extracting #3: cost 229 inf + 1857 3.040 * * [simplify]: Extracting #4: cost 225 inf + 2479 3.044 * * [simplify]: Extracting #5: cost 163 inf + 19978 3.061 * * [simplify]: Extracting #6: cost 24 inf + 75307 3.099 * * [simplify]: Extracting #7: cost 0 inf + 85249 3.121 * * [simplify]: Extracting #8: cost 0 inf + 85049 3.154 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* -2 J)) (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))))) 3.154 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* -2 J)) (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))))))) 3.154 * * * * [progress]: [ 14 / 104 ] simplifiying candidate # 3.155 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) 3.155 * * [simplify]: iters left: 6 (19 enodes) 3.168 * * [simplify]: iters left: 5 (85 enodes) 3.192 * * [simplify]: iters left: 4 (233 enodes) 3.313 * * [simplify]: Extracting #0: cost 1 inf + 0 3.313 * * [simplify]: Extracting #1: cost 51 inf + 0 3.314 * * [simplify]: Extracting #2: cost 249 inf + 167 3.316 * * [simplify]: Extracting #3: cost 263 inf + 1322 3.323 * * [simplify]: Extracting #4: cost 215 inf + 16178 3.356 * * [simplify]: Extracting #5: cost 46 inf + 78072 3.410 * * [simplify]: Extracting #6: cost 0 inf + 97925 3.447 * * [simplify]: Extracting #7: cost 0 inf + 97365 3.481 * * [simplify]: Extracting #8: cost 0 inf + 97285 3.530 * [simplify]: Simplified to (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J) (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J) (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J))) 3.530 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J) (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J) (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J))))) 3.530 * * * * [progress]: [ 15 / 104 ] simplifiying candidate # 3.530 * * * * [progress]: [ 16 / 104 ] simplifiying candidate # 3.530 * * * * [progress]: [ 17 / 104 ] simplifiying candidate # 3.530 * * * * [progress]: [ 18 / 104 ] simplifiying candidate # 3.530 * * * * [progress]: [ 19 / 104 ] simplifiying candidate # 3.531 * [simplify]: Simplifying (* -2 J) 3.531 * * [simplify]: iters left: 2 (3 enodes) 3.533 * * [simplify]: iters left: 1 (10 enodes) 3.536 * * [simplify]: Extracting #0: cost 1 inf + 0 3.536 * * [simplify]: Extracting #1: cost 4 inf + 0 3.536 * * [simplify]: Extracting #2: cost 2 inf + 2 3.536 * * [simplify]: Extracting #3: cost 0 inf + 86 3.536 * [simplify]: Simplified to (* -2 J) 3.536 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J))) 3.537 * * * * [progress]: [ 20 / 104 ] simplifiying candidate # 3.537 * [simplify]: Simplifying (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 3.537 * * [simplify]: iters left: 6 (13 enodes) 3.544 * * [simplify]: iters left: 5 (47 enodes) 3.561 * * [simplify]: iters left: 4 (67 enodes) 3.582 * * [simplify]: iters left: 3 (84 enodes) 3.604 * * [simplify]: iters left: 2 (89 enodes) 3.627 * * [simplify]: Extracting #0: cost 1 inf + 0 3.627 * * [simplify]: Extracting #1: cost 3 inf + 0 3.627 * * [simplify]: Extracting #2: cost 5 inf + 0 3.627 * * [simplify]: Extracting #3: cost 8 inf + 0 3.628 * * [simplify]: Extracting #4: cost 18 inf + 1 3.628 * * [simplify]: Extracting #5: cost 27 inf + 4 3.628 * * [simplify]: Extracting #6: cost 27 inf + 338 3.628 * * [simplify]: Extracting #7: cost 23 inf + 465 3.629 * * [simplify]: Extracting #8: cost 12 inf + 2056 3.631 * * [simplify]: Extracting #9: cost 1 inf + 4835 3.633 * * [simplify]: Extracting #10: cost 0 inf + 5195 3.635 * [simplify]: Simplified to (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 3.635 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 3.635 * * * * [progress]: [ 21 / 104 ] simplifiying candidate # 3.635 * [simplify]: Simplifying (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) 3.635 * * [simplify]: iters left: 6 (12 enodes) 3.642 * * [simplify]: iters left: 5 (44 enodes) 3.656 * * [simplify]: iters left: 4 (64 enodes) 3.675 * * [simplify]: iters left: 3 (81 enodes) 3.697 * * [simplify]: iters left: 2 (86 enodes) 3.720 * * [simplify]: Extracting #0: cost 1 inf + 0 3.721 * * [simplify]: Extracting #1: cost 3 inf + 0 3.721 * * [simplify]: Extracting #2: cost 6 inf + 0 3.721 * * [simplify]: Extracting #3: cost 16 inf + 1 3.721 * * [simplify]: Extracting #4: cost 25 inf + 4 3.721 * * [simplify]: Extracting #5: cost 26 inf + 255 3.722 * * [simplify]: Extracting #6: cost 21 inf + 465 3.722 * * [simplify]: Extracting #7: cost 7 inf + 2565 3.724 * * [simplify]: Extracting #8: cost 1 inf + 4035 3.726 * * [simplify]: Extracting #9: cost 0 inf + 4315 3.727 * [simplify]: Simplified to (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 3.727 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 3.728 * * * * [progress]: [ 22 / 104 ] simplifiying candidate # 3.728 * * * * [progress]: [ 23 / 104 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))))))> 3.728 * * * * [progress]: [ 24 / 104 ] simplifiying candidate # 3.728 * * * * [progress]: [ 25 / 104 ] simplifiying candidate # 3.728 * * * * [progress]: [ 26 / 104 ] simplifiying candidate # 3.728 * * * * [progress]: [ 27 / 104 ] simplifiying candidate # 3.728 * * * * [progress]: [ 28 / 104 ] simplifiying candidate # 3.728 * [simplify]: Simplifying (- (log U) (+ (log J) (+ (log (cos (/ K 2))) (log 2)))) 3.729 * * [simplify]: iters left: 6 (13 enodes) 3.735 * * [simplify]: iters left: 5 (47 enodes) 3.751 * * [simplify]: iters left: 4 (77 enodes) 3.778 * * [simplify]: iters left: 3 (142 enodes) 3.828 * * [simplify]: iters left: 2 (244 enodes) 3.914 * * [simplify]: iters left: 1 (389 enodes) 4.048 * * [simplify]: Extracting #0: cost 1 inf + 0 4.049 * * [simplify]: Extracting #1: cost 43 inf + 0 4.049 * * [simplify]: Extracting #2: cost 85 inf + 0 4.050 * * [simplify]: Extracting #3: cost 78 inf + 509 4.051 * * [simplify]: Extracting #4: cost 62 inf + 3772 4.054 * * [simplify]: Extracting #5: cost 40 inf + 8371 4.061 * * [simplify]: Extracting #6: cost 9 inf + 19264 4.070 * * [simplify]: Extracting #7: cost 0 inf + 22854 4.080 * [simplify]: Simplified to (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))) 4.080 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))))) (* (cos (/ K 2)) (* -2 J)))) 4.080 * * * * [progress]: [ 29 / 104 ] simplifiying candidate # 4.080 * [simplify]: Simplifying (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) 4.081 * * [simplify]: iters left: 6 (12 enodes) 4.087 * * [simplify]: iters left: 5 (45 enodes) 4.102 * * [simplify]: iters left: 4 (69 enodes) 4.130 * * [simplify]: iters left: 3 (118 enodes) 4.172 * * [simplify]: iters left: 2 (207 enodes) 4.222 * * [simplify]: iters left: 1 (350 enodes) 4.320 * * [simplify]: Extracting #0: cost 1 inf + 0 4.320 * * [simplify]: Extracting #1: cost 41 inf + 0 4.320 * * [simplify]: Extracting #2: cost 80 inf + 0 4.321 * * [simplify]: Extracting #3: cost 70 inf + 1095 4.322 * * [simplify]: Extracting #4: cost 52 inf + 5095 4.323 * * [simplify]: Extracting #5: cost 38 inf + 7394 4.327 * * [simplify]: Extracting #6: cost 16 inf + 14208 4.335 * * [simplify]: Extracting #7: cost 0 inf + 19711 4.344 * [simplify]: Simplified to (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) 4.344 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 4.344 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 4.344 * [simplify]: Simplifying (- (log U) (log (* J (* (cos (/ K 2)) 2)))) 4.345 * * [simplify]: iters left: 6 (11 enodes) 4.351 * * [simplify]: iters left: 5 (42 enodes) 4.368 * * [simplify]: iters left: 4 (69 enodes) 4.390 * * [simplify]: iters left: 3 (114 enodes) 4.412 * * [simplify]: iters left: 2 (185 enodes) 4.448 * * [simplify]: iters left: 1 (294 enodes) 4.565 * * [simplify]: Extracting #0: cost 1 inf + 0 4.565 * * [simplify]: Extracting #1: cost 54 inf + 0 4.566 * * [simplify]: Extracting #2: cost 108 inf + 0 4.566 * * [simplify]: Extracting #3: cost 107 inf + 327 4.567 * * [simplify]: Extracting #4: cost 86 inf + 3544 4.568 * * [simplify]: Extracting #5: cost 62 inf + 8359 4.571 * * [simplify]: Extracting #6: cost 21 inf + 20747 4.577 * * [simplify]: Extracting #7: cost 0 inf + 27400 4.582 * * [simplify]: Extracting #8: cost 0 inf + 27050 4.593 * [simplify]: Simplified to (- (log U) (log (* (* 2 J) (cos (/ K 2))))) 4.593 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (log U) (log (* (* 2 J) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 4.593 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 4.593 * * * * [progress]: [ 32 / 104 ] simplifiying candidate # 4.593 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 4.593 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2)))) 4.594 * * [simplify]: iters left: 6 (17 enodes) 4.605 * * [simplify]: iters left: 5 (74 enodes) 4.625 * * [simplify]: iters left: 4 (218 enodes) 4.772 * * [simplify]: Extracting #0: cost 1 inf + 0 4.772 * * [simplify]: Extracting #1: cost 173 inf + 0 4.774 * * [simplify]: Extracting #2: cost 367 inf + 2039 4.777 * * [simplify]: Extracting #3: cost 314 inf + 9518 4.786 * * [simplify]: Extracting #4: cost 137 inf + 52354 4.820 * * [simplify]: Extracting #5: cost 2 inf + 91480 4.869 * * [simplify]: Extracting #6: cost 0 inf + 91928 4.916 * [simplify]: Simplified to (/ (/ (* (/ U J) (/ U J)) (/ 8 (/ U J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) 4.916 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (/ (/ (* (/ U J) (/ U J)) (/ 8 (/ U J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 4.916 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 4.917 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2)))) 4.917 * * [simplify]: iters left: 6 (15 enodes) 4.926 * * [simplify]: iters left: 5 (71 enodes) 4.957 * * [simplify]: iters left: 4 (218 enodes) 5.102 * * [simplify]: Extracting #0: cost 1 inf + 0 5.102 * * [simplify]: Extracting #1: cost 159 inf + 0 5.105 * * [simplify]: Extracting #2: cost 369 inf + 1023 5.113 * * [simplify]: Extracting #3: cost 331 inf + 6901 5.133 * * [simplify]: Extracting #4: cost 161 inf + 51690 5.172 * * [simplify]: Extracting #5: cost 6 inf + 97480 5.198 * * [simplify]: Extracting #6: cost 0 inf + 98543 5.228 * [simplify]: Simplified to (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (cos (/ K 2)) 2) (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)))) 5.228 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (cos (/ K 2)) 2) (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 5.228 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 5.228 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))) 5.228 * * [simplify]: iters left: 6 (13 enodes) 5.232 * * [simplify]: iters left: 5 (61 enodes) 5.247 * * [simplify]: iters left: 4 (231 enodes) 5.407 * * [simplify]: Extracting #0: cost 1 inf + 0 5.407 * * [simplify]: Extracting #1: cost 188 inf + 0 5.411 * * [simplify]: Extracting #2: cost 413 inf + 741 5.416 * * [simplify]: Extracting #3: cost 387 inf + 5457 5.427 * * [simplify]: Extracting #4: cost 186 inf + 57444 5.457 * * [simplify]: Extracting #5: cost 3 inf + 111030 5.487 * * [simplify]: Extracting #6: cost 0 inf + 111016 5.532 * [simplify]: Simplified to (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) 5.532 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 5.532 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 5.533 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 5.533 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 5.533 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 5.533 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 5.533 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) J) 5.533 * * [simplify]: iters left: 5 (5 enodes) 5.535 * * [simplify]: iters left: 4 (17 enodes) 5.540 * * [simplify]: iters left: 3 (21 enodes) 5.547 * * [simplify]: iters left: 2 (24 enodes) 5.553 * * [simplify]: Extracting #0: cost 1 inf + 0 5.553 * * [simplify]: Extracting #1: cost 7 inf + 0 5.553 * * [simplify]: Extracting #2: cost 11 inf + 1 5.553 * * [simplify]: Extracting #3: cost 10 inf + 2 5.554 * * [simplify]: Extracting #4: cost 0 inf + 1218 5.554 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) J) 5.554 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) J) (/ (cbrt U) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 5.554 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) 2)) 5.554 * * [simplify]: iters left: 6 (8 enodes) 5.560 * * [simplify]: iters left: 5 (27 enodes) 5.569 * * [simplify]: iters left: 4 (31 enodes) 5.574 * * [simplify]: iters left: 3 (33 enodes) 5.579 * * [simplify]: Extracting #0: cost 1 inf + 0 5.579 * * [simplify]: Extracting #1: cost 8 inf + 0 5.579 * * [simplify]: Extracting #2: cost 14 inf + 1 5.579 * * [simplify]: Extracting #3: cost 15 inf + 2 5.579 * * [simplify]: Extracting #4: cost 10 inf + 270 5.580 * * [simplify]: Extracting #5: cost 1 inf + 1690 5.580 * * [simplify]: Extracting #6: cost 0 inf + 1953 5.580 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) 2) 5.580 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) J) (/ (/ (cbrt U) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (* -2 J)))) 5.580 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 5.581 * [simplify]: Simplifying (/ (sqrt U) J) 5.581 * * [simplify]: iters left: 3 (4 enodes) 5.582 * * [simplify]: iters left: 2 (12 enodes) 5.583 * * [simplify]: Extracting #0: cost 1 inf + 0 5.583 * * [simplify]: Extracting #1: cost 4 inf + 0 5.583 * * [simplify]: Extracting #2: cost 5 inf + 1 5.583 * * [simplify]: Extracting #3: cost 4 inf + 2 5.583 * * [simplify]: Extracting #4: cost 0 inf + 248 5.584 * [simplify]: Simplified to (/ (sqrt U) J) 5.584 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (/ (sqrt U) J) (/ (sqrt U) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 5.584 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) 2)) 5.584 * * [simplify]: iters left: 6 (8 enodes) 5.586 * * [simplify]: iters left: 5 (27 enodes) 5.590 * * [simplify]: iters left: 4 (31 enodes) 5.595 * * [simplify]: iters left: 3 (33 enodes) 5.600 * * [simplify]: Extracting #0: cost 1 inf + 0 5.600 * * [simplify]: Extracting #1: cost 8 inf + 0 5.600 * * [simplify]: Extracting #2: cost 14 inf + 1 5.600 * * [simplify]: Extracting #3: cost 15 inf + 2 5.600 * * [simplify]: Extracting #4: cost 10 inf + 230 5.600 * * [simplify]: Extracting #5: cost 1 inf + 1410 5.601 * * [simplify]: Extracting #6: cost 0 inf + 1633 5.601 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) 2) 5.601 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (/ (sqrt U) J) (/ (/ (sqrt U) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (* -2 J)))) 5.601 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 5.601 * [simplify]: Simplifying (/ 1 J) 5.601 * * [simplify]: iters left: 2 (3 enodes) 5.602 * * [simplify]: iters left: 1 (11 enodes) 5.606 * * [simplify]: Extracting #0: cost 1 inf + 0 5.606 * * [simplify]: Extracting #1: cost 4 inf + 0 5.606 * * [simplify]: Extracting #2: cost 2 inf + 2 5.606 * * [simplify]: Extracting #3: cost 0 inf + 86 5.606 * [simplify]: Simplified to (/ 1 J) 5.606 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (/ 1 J) (/ U (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 5.606 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) 2)) 5.606 * * [simplify]: iters left: 6 (7 enodes) 5.610 * * [simplify]: iters left: 5 (24 enodes) 5.618 * * [simplify]: iters left: 4 (28 enodes) 5.623 * * [simplify]: iters left: 3 (30 enodes) 5.628 * * [simplify]: Extracting #0: cost 1 inf + 0 5.628 * * [simplify]: Extracting #1: cost 8 inf + 0 5.628 * * [simplify]: Extracting #2: cost 11 inf + 2 5.628 * * [simplify]: Extracting #3: cost 11 inf + 86 5.628 * * [simplify]: Extracting #4: cost 8 inf + 171 5.628 * * [simplify]: Extracting #5: cost 2 inf + 986 5.628 * * [simplify]: Extracting #6: cost 0 inf + 1311 5.628 * [simplify]: Simplified to (/ (/ U 2) (cos (/ K 2))) 5.628 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (/ 1 J) (/ (/ U 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) 5.629 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 5.629 * * * * [progress]: [ 44 / 104 ] simplifiying candidate # 5.629 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 5.629 * * * * [progress]: [ 46 / 104 ] simplifiying candidate # 5.629 * [simplify]: Simplifying (* (cos (/ K 2)) 2) 5.629 * * [simplify]: iters left: 5 (5 enodes) 5.631 * * [simplify]: iters left: 4 (16 enodes) 5.633 * * [simplify]: Extracting #0: cost 1 inf + 0 5.633 * * [simplify]: Extracting #1: cost 4 inf + 0 5.633 * * [simplify]: Extracting #2: cost 5 inf + 1 5.633 * * [simplify]: Extracting #3: cost 7 inf + 1 5.633 * * [simplify]: Extracting #4: cost 6 inf + 2 5.634 * * [simplify]: Extracting #5: cost 0 inf + 574 5.634 * [simplify]: Simplified to (* (cos (/ K 2)) 2) 5.634 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* -2 J)))) 5.634 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 5.634 * [simplify]: Simplifying (* (cbrt U) (cbrt U)) 5.634 * * [simplify]: iters left: 3 (3 enodes) 5.635 * * [simplify]: iters left: 2 (9 enodes) 5.636 * * [simplify]: Extracting #0: cost 1 inf + 0 5.636 * * [simplify]: Extracting #1: cost 3 inf + 0 5.636 * * [simplify]: Extracting #2: cost 5 inf + 0 5.636 * * [simplify]: Extracting #3: cost 4 inf + 1 5.636 * * [simplify]: Extracting #4: cost 0 inf + 405 5.636 * [simplify]: Simplified to (* (cbrt U) (cbrt U)) 5.636 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (/ (* (cbrt U) (cbrt U)) (/ (* J (* (cos (/ K 2)) 2)) (cbrt U)))) (* (cos (/ K 2)) (* -2 J)))) 5.637 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 5.637 * [simplify]: Simplifying (sqrt U) 5.637 * * [simplify]: iters left: 1 (2 enodes) 5.637 * * [simplify]: Extracting #0: cost 1 inf + 0 5.637 * * [simplify]: Extracting #1: cost 3 inf + 0 5.637 * * [simplify]: Extracting #2: cost 2 inf + 1 5.637 * * [simplify]: Extracting #3: cost 0 inf + 83 5.637 * [simplify]: Simplified to (sqrt U) 5.637 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (/ (sqrt U) (/ (* J (* (cos (/ K 2)) 2)) (sqrt U)))) (* (cos (/ K 2)) (* -2 J)))) 5.638 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 5.638 * * * * [progress]: [ 50 / 104 ] simplifiying candidate #real (real->posit16 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))> 5.638 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 5.638 * * * * [progress]: [ 52 / 104 ] simplifiying candidate # 5.638 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 5.638 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 5.638 * * [simplify]: iters left: 6 (7 enodes) 5.640 * * [simplify]: iters left: 5 (25 enodes) 5.644 * * [simplify]: iters left: 4 (33 enodes) 5.651 * * [simplify]: iters left: 3 (39 enodes) 5.661 * * [simplify]: Extracting #0: cost 1 inf + 0 5.661 * * [simplify]: Extracting #1: cost 8 inf + 0 5.661 * * [simplify]: Extracting #2: cost 11 inf + 2 5.662 * * [simplify]: Extracting #3: cost 12 inf + 44 5.663 * * [simplify]: Extracting #4: cost 8 inf + 171 5.663 * * [simplify]: Extracting #5: cost 3 inf + 843 5.664 * * [simplify]: Extracting #6: cost 0 inf + 1311 5.664 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 5.664 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (pow (* (cos (/ K 2)) (* J 2)) 1))) (* (cos (/ K 2)) (* -2 J)))) 5.664 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 5.665 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 5.665 * * [simplify]: iters left: 6 (7 enodes) 5.669 * * [simplify]: iters left: 5 (25 enodes) 5.677 * * [simplify]: iters left: 4 (33 enodes) 5.687 * * [simplify]: iters left: 3 (39 enodes) 5.697 * * [simplify]: Extracting #0: cost 1 inf + 0 5.698 * * [simplify]: Extracting #1: cost 8 inf + 0 5.698 * * [simplify]: Extracting #2: cost 11 inf + 2 5.698 * * [simplify]: Extracting #3: cost 12 inf + 44 5.698 * * [simplify]: Extracting #4: cost 8 inf + 171 5.698 * * [simplify]: Extracting #5: cost 3 inf + 843 5.699 * * [simplify]: Extracting #6: cost 0 inf + 1311 5.699 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 5.699 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (pow (* (cos (/ K 2)) (* J 2)) 1))) (* (cos (/ K 2)) (* -2 J)))) 5.699 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 5.699 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 5.700 * [simplify]: Simplifying (+ (log J) (+ (log (cos (/ K 2))) (log 2))) 5.700 * * [simplify]: iters left: 6 (10 enodes) 5.702 * * [simplify]: iters left: 5 (34 enodes) 5.708 * * [simplify]: iters left: 4 (42 enodes) 5.715 * * [simplify]: iters left: 3 (47 enodes) 5.721 * * [simplify]: Extracting #0: cost 1 inf + 0 5.721 * * [simplify]: Extracting #1: cost 8 inf + 0 5.721 * * [simplify]: Extracting #2: cost 17 inf + 0 5.721 * * [simplify]: Extracting #3: cost 15 inf + 144 5.721 * * [simplify]: Extracting #4: cost 16 inf + 215 5.722 * * [simplify]: Extracting #5: cost 9 inf + 837 5.722 * * [simplify]: Extracting #6: cost 1 inf + 2916 5.723 * * [simplify]: Extracting #7: cost 0 inf + 3199 5.723 * [simplify]: Simplified to (+ (log 2) (+ (log J) (log (cos (/ K 2))))) 5.723 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (exp (+ (log 2) (+ (log J) (log (cos (/ K 2)))))))) (* (cos (/ K 2)) (* -2 J)))) 5.723 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 5.723 * [simplify]: Simplifying (+ (log J) (log (* (cos (/ K 2)) 2))) 5.723 * * [simplify]: iters left: 6 (9 enodes) 5.726 * * [simplify]: iters left: 5 (32 enodes) 5.735 * * [simplify]: iters left: 4 (41 enodes) 5.747 * * [simplify]: iters left: 3 (50 enodes) 5.761 * * [simplify]: Extracting #0: cost 1 inf + 0 5.762 * * [simplify]: Extracting #1: cost 8 inf + 0 5.762 * * [simplify]: Extracting #2: cost 18 inf + 0 5.762 * * [simplify]: Extracting #3: cost 19 inf + 2 5.762 * * [simplify]: Extracting #4: cost 16 inf + 579 5.762 * * [simplify]: Extracting #5: cost 11 inf + 837 5.763 * * [simplify]: Extracting #6: cost 4 inf + 1991 5.764 * * [simplify]: Extracting #7: cost 0 inf + 3203 5.765 * [simplify]: Simplified to (+ (log (* 2 (cos (/ K 2)))) (log J)) 5.765 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (exp (+ (log (* 2 (cos (/ K 2)))) (log J))))) (* (cos (/ K 2)) (* -2 J)))) 5.765 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 5.765 * * * * [progress]: [ 59 / 104 ] simplifiying candidate # 5.765 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 5.765 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) 5.766 * * [simplify]: iters left: 6 (13 enodes) 5.773 * * [simplify]: iters left: 5 (53 enodes) 5.798 * * [simplify]: iters left: 4 (132 enodes) 5.841 * * [simplify]: iters left: 3 (429 enodes) 6.134 * * [simplify]: Extracting #0: cost 1 inf + 0 6.134 * * [simplify]: Extracting #1: cost 91 inf + 0 6.135 * * [simplify]: Extracting #2: cost 246 inf + 87 6.136 * * [simplify]: Extracting #3: cost 220 inf + 2827 6.141 * * [simplify]: Extracting #4: cost 139 inf + 22133 6.153 * * [simplify]: Extracting #5: cost 13 inf + 55236 6.167 * * [simplify]: Extracting #6: cost 0 inf + 57862 6.182 * * [simplify]: Extracting #7: cost 0 inf + 57822 6.208 * [simplify]: Simplified to (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2)))) 6.208 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (cbrt (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 6.208 * * * * [progress]: [ 61 / 104 ] simplifiying candidate # 6.209 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2))) 6.209 * * [simplify]: iters left: 6 (11 enodes) 6.216 * * [simplify]: iters left: 5 (51 enodes) 6.236 * * [simplify]: iters left: 4 (123 enodes) 6.274 * * [simplify]: iters left: 3 (378 enodes) 6.524 * * [simplify]: Extracting #0: cost 1 inf + 0 6.524 * * [simplify]: Extracting #1: cost 70 inf + 0 6.526 * * [simplify]: Extracting #2: cost 183 inf + 248 6.528 * * [simplify]: Extracting #3: cost 165 inf + 2757 6.534 * * [simplify]: Extracting #4: cost 101 inf + 18508 6.559 * * [simplify]: Extracting #5: cost 7 inf + 44227 6.582 * * [simplify]: Extracting #6: cost 0 inf + 45950 6.600 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) 6.600 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (cbrt (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J))))) (* (cos (/ K 2)) (* -2 J)))) 6.600 * * * * [progress]: [ 62 / 104 ] simplifiying candidate # 6.600 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 6.600 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 6.600 * * * * [progress]: [ 65 / 104 ] simplifiying candidate # 6.600 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 6.600 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 6.601 * [simplify]: Simplifying (* (cbrt J) (cbrt J)) 6.601 * * [simplify]: iters left: 3 (3 enodes) 6.601 * * [simplify]: iters left: 2 (9 enodes) 6.603 * * [simplify]: Extracting #0: cost 1 inf + 0 6.603 * * [simplify]: Extracting #1: cost 3 inf + 0 6.603 * * [simplify]: Extracting #2: cost 5 inf + 0 6.603 * * [simplify]: Extracting #3: cost 4 inf + 1 6.603 * * [simplify]: Extracting #4: cost 0 inf + 405 6.603 * [simplify]: Simplified to (* (cbrt J) (cbrt J)) 6.603 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 6.603 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 6.603 * [simplify]: Simplifying (sqrt J) 6.603 * * [simplify]: iters left: 1 (2 enodes) 6.604 * * [simplify]: Extracting #0: cost 1 inf + 0 6.604 * * [simplify]: Extracting #1: cost 3 inf + 0 6.604 * * [simplify]: Extracting #2: cost 2 inf + 1 6.604 * * [simplify]: Extracting #3: cost 0 inf + 83 6.604 * [simplify]: Simplified to (sqrt J) 6.604 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* (sqrt J) (* (sqrt J) (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 6.604 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 6.604 * * * * [progress]: [ 70 / 104 ] simplifiying candidate #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))> 6.604 * * * * [progress]: [ 71 / 104 ] simplifiying candidate # 6.604 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 6.604 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 6.604 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 6.605 * [simplify]: Simplifying (* (cos (/ K 2)) (* -2 J)) 6.605 * * [simplify]: iters left: 5 (8 enodes) 6.607 * * [simplify]: iters left: 4 (28 enodes) 6.617 * * [simplify]: iters left: 3 (36 enodes) 6.626 * * [simplify]: iters left: 2 (42 enodes) 6.632 * * [simplify]: Extracting #0: cost 1 inf + 0 6.633 * * [simplify]: Extracting #1: cost 8 inf + 0 6.633 * * [simplify]: Extracting #2: cost 10 inf + 44 6.633 * * [simplify]: Extracting #3: cost 12 inf + 86 6.633 * * [simplify]: Extracting #4: cost 10 inf + 88 6.633 * * [simplify]: Extracting #5: cost 5 inf + 601 6.633 * * [simplify]: Extracting #6: cost 1 inf + 1173 6.633 * * [simplify]: Extracting #7: cost 0 inf + 1316 6.634 * [simplify]: Simplified to (* (cos (/ K 2)) (* -2 J)) 6.634 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (pow (* (cos (/ K 2)) (* -2 J)) 1))) 6.634 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 6.634 * [simplify]: Simplifying (* (cos (/ K 2)) (* -2 J)) 6.634 * * [simplify]: iters left: 5 (8 enodes) 6.637 * * [simplify]: iters left: 4 (28 enodes) 6.642 * * [simplify]: iters left: 3 (36 enodes) 6.647 * * [simplify]: iters left: 2 (42 enodes) 6.654 * * [simplify]: Extracting #0: cost 1 inf + 0 6.654 * * [simplify]: Extracting #1: cost 8 inf + 0 6.654 * * [simplify]: Extracting #2: cost 10 inf + 44 6.654 * * [simplify]: Extracting #3: cost 12 inf + 86 6.654 * * [simplify]: Extracting #4: cost 10 inf + 88 6.654 * * [simplify]: Extracting #5: cost 5 inf + 601 6.655 * * [simplify]: Extracting #6: cost 1 inf + 1173 6.655 * * [simplify]: Extracting #7: cost 0 inf + 1316 6.656 * [simplify]: Simplified to (* (cos (/ K 2)) (* -2 J)) 6.656 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (pow (* (cos (/ K 2)) (* -2 J)) 1))) 6.656 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 6.656 * * * * [progress]: [ 77 / 104 ] simplifiying candidate # 6.656 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (+ (log -2) (log J))) 6.656 * * [simplify]: iters left: 6 (11 enodes) 6.662 * * [simplify]: iters left: 5 (37 enodes) 6.674 * * [simplify]: iters left: 4 (45 enodes) 6.688 * * [simplify]: iters left: 3 (51 enodes) 6.703 * * [simplify]: Extracting #0: cost 1 inf + 0 6.703 * * [simplify]: Extracting #1: cost 8 inf + 0 6.703 * * [simplify]: Extracting #2: cost 17 inf + 0 6.703 * * [simplify]: Extracting #3: cost 17 inf + 2 6.703 * * [simplify]: Extracting #4: cost 15 inf + 468 6.704 * * [simplify]: Extracting #5: cost 12 inf + 652 6.704 * * [simplify]: Extracting #6: cost 9 inf + 838 6.704 * * [simplify]: Extracting #7: cost 3 inf + 2466 6.705 * * [simplify]: Extracting #8: cost 0 inf + 3204 6.705 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (+ (log J) (log -2))) 6.705 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (exp (+ (log (cos (/ K 2))) (+ (log J) (log -2)))))) 6.705 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 6.706 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log (* -2 J))) 6.706 * * [simplify]: iters left: 6 (10 enodes) 6.709 * * [simplify]: iters left: 5 (35 enodes) 6.715 * * [simplify]: iters left: 4 (44 enodes) 6.723 * * [simplify]: iters left: 3 (52 enodes) 6.734 * * [simplify]: Extracting #0: cost 1 inf + 0 6.734 * * [simplify]: Extracting #1: cost 8 inf + 0 6.734 * * [simplify]: Extracting #2: cost 18 inf + 0 6.734 * * [simplify]: Extracting #3: cost 16 inf + 186 6.734 * * [simplify]: Extracting #4: cost 14 inf + 594 6.735 * * [simplify]: Extracting #5: cost 12 inf + 596 6.735 * * [simplify]: Extracting #6: cost 5 inf + 1663 6.736 * * [simplify]: Extracting #7: cost 0 inf + 3008 6.737 * [simplify]: Simplified to (+ (log (* -2 J)) (log (cos (/ K 2)))) 6.737 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (exp (+ (log (* -2 J)) (log (cos (/ K 2))))))) 6.737 * * * * [progress]: [ 79 / 104 ] simplifiying candidate # 6.737 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 6.737 * * * * [progress]: [ 81 / 104 ] simplifiying candidate # 6.737 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))) 6.737 * * [simplify]: iters left: 6 (14 enodes) 6.748 * * [simplify]: iters left: 5 (57 enodes) 6.771 * * [simplify]: iters left: 4 (130 enodes) 6.811 * * [simplify]: iters left: 3 (367 enodes) 7.022 * * [simplify]: Extracting #0: cost 1 inf + 0 7.022 * * [simplify]: Extracting #1: cost 64 inf + 0 7.024 * * [simplify]: Extracting #2: cost 177 inf + 46 7.026 * * [simplify]: Extracting #3: cost 156 inf + 1970 7.039 * * [simplify]: Extracting #4: cost 75 inf + 21401 7.059 * * [simplify]: Extracting #5: cost 1 inf + 43378 7.080 * * [simplify]: Extracting #6: cost 0 inf + 42761 7.100 * * [simplify]: Extracting #7: cost 0 inf + 42681 7.120 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) -8) (* (cos (/ K 2)) J)) 7.120 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cbrt (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) -8) (* (cos (/ K 2)) J))))) 7.120 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 7.120 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 7.121 * * [simplify]: iters left: 6 (12 enodes) 7.128 * * [simplify]: iters left: 5 (54 enodes) 7.147 * * [simplify]: iters left: 4 (126 enodes) 7.201 * * [simplify]: iters left: 3 (382 enodes) 7.491 * * [simplify]: Extracting #0: cost 1 inf + 0 7.491 * * [simplify]: Extracting #1: cost 72 inf + 0 7.493 * * [simplify]: Extracting #2: cost 196 inf + 169 7.496 * * [simplify]: Extracting #3: cost 187 inf + 1572 7.507 * * [simplify]: Extracting #4: cost 102 inf + 22796 7.535 * * [simplify]: Extracting #5: cost 1 inf + 50706 7.563 * * [simplify]: Extracting #6: cost 0 inf + 50169 7.584 * * [simplify]: Extracting #7: cost 0 inf + 50089 7.599 * [simplify]: Simplified to (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (* -2 (* (cos (/ K 2)) J))) 7.599 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cbrt (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (* -2 (* (cos (/ K 2)) J)))))) 7.600 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 7.600 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 7.600 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 7.600 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 7.600 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 7.600 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 7.600 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 7.600 * * [simplify]: iters left: 6 (6 enodes) 7.602 * * [simplify]: iters left: 5 (18 enodes) 7.605 * * [simplify]: Extracting #0: cost 1 inf + 0 7.605 * * [simplify]: Extracting #1: cost 3 inf + 0 7.605 * * [simplify]: Extracting #2: cost 5 inf + 0 7.605 * * [simplify]: Extracting #3: cost 7 inf + 0 7.605 * * [simplify]: Extracting #4: cost 10 inf + 0 7.605 * * [simplify]: Extracting #5: cost 8 inf + 2 7.605 * * [simplify]: Extracting #6: cost 0 inf + 1098 7.607 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 7.607 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))))) 7.608 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 7.608 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 7.608 * * [simplify]: iters left: 4 (5 enodes) 7.611 * * [simplify]: iters left: 3 (15 enodes) 7.616 * * [simplify]: Extracting #0: cost 1 inf + 0 7.616 * * [simplify]: Extracting #1: cost 3 inf + 0 7.616 * * [simplify]: Extracting #2: cost 5 inf + 0 7.616 * * [simplify]: Extracting #3: cost 8 inf + 0 7.616 * * [simplify]: Extracting #4: cost 6 inf + 2 7.616 * * [simplify]: Extracting #5: cost 0 inf + 574 7.617 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 7.617 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 7.617 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 7.618 * * * * [progress]: [ 91 / 104 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* -2 J))))))> 7.618 * * * * [progress]: [ 92 / 104 ] simplifiying candidate # 7.618 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 7.618 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 7.618 * * [simplify]: iters left: 6 (10 enodes) 7.624 * * [simplify]: iters left: 5 (44 enodes) 7.641 * * [simplify]: iters left: 4 (83 enodes) 7.668 * * [simplify]: iters left: 3 (132 enodes) 7.695 * * [simplify]: iters left: 2 (186 enodes) 7.741 * * [simplify]: iters left: 1 (263 enodes) 7.787 * * [simplify]: Extracting #0: cost 1 inf + 0 7.787 * * [simplify]: Extracting #1: cost 23 inf + 0 7.787 * * [simplify]: Extracting #2: cost 44 inf + 89 7.789 * * [simplify]: Extracting #3: cost 21 inf + 2920 7.790 * * [simplify]: Extracting #4: cost 0 inf + 4598 7.792 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 7.792 * [simplify]: Simplified (2) to (λ (J K U) (fma (/ -1/4 J) (* U U) (* J -2))) 7.792 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 7.792 * [simplify]: Simplifying (* -1 U) 7.792 * * [simplify]: iters left: 2 (3 enodes) 7.794 * * [simplify]: iters left: 1 (11 enodes) 7.795 * * [simplify]: Extracting #0: cost 1 inf + 0 7.795 * * [simplify]: Extracting #1: cost 4 inf + 0 7.795 * * [simplify]: Extracting #2: cost 0 inf + 84 7.796 * [simplify]: Simplified to (- U) 7.796 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 7.796 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 7.796 * [simplify]: Simplifying (* -1 U) 7.796 * * [simplify]: iters left: 2 (3 enodes) 7.797 * * [simplify]: iters left: 1 (11 enodes) 7.801 * * [simplify]: Extracting #0: cost 1 inf + 0 7.801 * * [simplify]: Extracting #1: cost 4 inf + 0 7.801 * * [simplify]: Extracting #2: cost 0 inf + 84 7.801 * [simplify]: Simplified to (- U) 7.801 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 7.801 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 7.801 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 7.801 * * [simplify]: iters left: 6 (13 enodes) 7.805 * * [simplify]: iters left: 5 (55 enodes) 7.815 * * [simplify]: iters left: 4 (92 enodes) 7.831 * * [simplify]: iters left: 3 (155 enodes) 7.866 * * [simplify]: iters left: 2 (238 enodes) 7.932 * * [simplify]: iters left: 1 (367 enodes) 8.070 * * [simplify]: Extracting #0: cost 1 inf + 0 8.070 * * [simplify]: Extracting #1: cost 33 inf + 0 8.071 * * [simplify]: Extracting #2: cost 65 inf + 129 8.071 * * [simplify]: Extracting #3: cost 50 inf + 2235 8.074 * * [simplify]: Extracting #4: cost 4 inf + 6690 8.078 * * [simplify]: Extracting #5: cost 0 inf + 7294 8.081 * [simplify]: Simplified to (* (/ U J) (+ (* (* K K) 1/16) 1/2)) 8.081 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (* (/ U J) (+ (* (* K K) 1/16) 1/2))) (* (cos (/ K 2)) (* -2 J)))) 8.081 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 8.082 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.082 * * [simplify]: iters left: 6 (9 enodes) 8.084 * * [simplify]: iters left: 5 (34 enodes) 8.089 * * [simplify]: iters left: 4 (56 enodes) 8.099 * * [simplify]: iters left: 3 (90 enodes) 8.113 * * [simplify]: iters left: 2 (114 enodes) 8.145 * * [simplify]: iters left: 1 (131 enodes) 8.174 * * [simplify]: Extracting #0: cost 1 inf + 0 8.174 * * [simplify]: Extracting #1: cost 22 inf + 0 8.174 * * [simplify]: Extracting #2: cost 37 inf + 3 8.174 * * [simplify]: Extracting #3: cost 31 inf + 380 8.175 * * [simplify]: Extracting #4: cost 17 inf + 1834 8.176 * * [simplify]: Extracting #5: cost 3 inf + 4117 8.177 * * [simplify]: Extracting #6: cost 0 inf + 4586 8.178 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 8.178 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (* (cos (/ K 2)) (* -2 J)))) 8.178 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 8.178 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.178 * * [simplify]: iters left: 6 (9 enodes) 8.181 * * [simplify]: iters left: 5 (34 enodes) 8.186 * * [simplify]: iters left: 4 (56 enodes) 8.199 * * [simplify]: iters left: 3 (90 enodes) 8.225 * * [simplify]: iters left: 2 (114 enodes) 8.254 * * [simplify]: iters left: 1 (131 enodes) 8.293 * * [simplify]: Extracting #0: cost 1 inf + 0 8.294 * * [simplify]: Extracting #1: cost 22 inf + 0 8.294 * * [simplify]: Extracting #2: cost 37 inf + 3 8.294 * * [simplify]: Extracting #3: cost 31 inf + 380 8.295 * * [simplify]: Extracting #4: cost 17 inf + 1834 8.297 * * [simplify]: Extracting #5: cost 3 inf + 4117 8.299 * * [simplify]: Extracting #6: cost 0 inf + 4586 8.302 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 8.302 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (* (cos (/ K 2)) (* -2 J)))) 8.302 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 8.302 * [simplify]: Simplifying (* 2 J) 8.302 * * [simplify]: iters left: 2 (3 enodes) 8.304 * * [simplify]: iters left: 1 (10 enodes) 8.308 * * [simplify]: Extracting #0: cost 1 inf + 0 8.308 * * [simplify]: Extracting #1: cost 4 inf + 0 8.308 * * [simplify]: Extracting #2: cost 2 inf + 2 8.308 * * [simplify]: Extracting #3: cost 0 inf + 86 8.308 * [simplify]: Simplified to (* 2 J) 8.308 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* 2 J))) (* (cos (/ K 2)) (* -2 J)))) 8.308 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 8.308 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 8.309 * * [simplify]: iters left: 6 (8 enodes) 8.313 * * [simplify]: iters left: 5 (29 enodes) 8.322 * * [simplify]: iters left: 4 (37 enodes) 8.334 * * [simplify]: iters left: 3 (42 enodes) 8.345 * * [simplify]: Extracting #0: cost 1 inf + 0 8.345 * * [simplify]: Extracting #1: cost 8 inf + 0 8.345 * * [simplify]: Extracting #2: cost 11 inf + 2 8.345 * * [simplify]: Extracting #3: cost 13 inf + 44 8.346 * * [simplify]: Extracting #4: cost 9 inf + 130 8.346 * * [simplify]: Extracting #5: cost 1 inf + 1132 8.347 * * [simplify]: Extracting #6: cost 0 inf + 1316 8.347 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 8.347 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* (* (cos (* K 1/2)) 2) J))) (* (cos (/ K 2)) (* -2 J)))) 8.347 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 8.348 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 8.348 * * [simplify]: iters left: 6 (8 enodes) 8.352 * * [simplify]: iters left: 5 (29 enodes) 8.361 * * [simplify]: iters left: 4 (37 enodes) 8.372 * * [simplify]: iters left: 3 (42 enodes) 8.383 * * [simplify]: Extracting #0: cost 1 inf + 0 8.383 * * [simplify]: Extracting #1: cost 8 inf + 0 8.383 * * [simplify]: Extracting #2: cost 11 inf + 2 8.384 * * [simplify]: Extracting #3: cost 13 inf + 44 8.384 * * [simplify]: Extracting #4: cost 9 inf + 130 8.384 * * [simplify]: Extracting #5: cost 1 inf + 1132 8.385 * * [simplify]: Extracting #6: cost 0 inf + 1316 8.385 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 8.385 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* (* (cos (* K 1/2)) 2) J))) (* (cos (/ K 2)) (* -2 J)))) 8.385 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 8.386 * [simplify]: Simplifying (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 8.386 * * [simplify]: iters left: 6 (9 enodes) 8.392 * * [simplify]: iters left: 5 (40 enodes) 8.407 * * [simplify]: iters left: 4 (72 enodes) 8.428 * * [simplify]: iters left: 3 (117 enodes) 8.448 * * [simplify]: iters left: 2 (134 enodes) 8.466 * * [simplify]: iters left: 1 (136 enodes) 8.487 * * [simplify]: Extracting #0: cost 1 inf + 0 8.488 * * [simplify]: Extracting #1: cost 19 inf + 0 8.488 * * [simplify]: Extracting #2: cost 20 inf + 295 8.489 * * [simplify]: Extracting #3: cost 1 inf + 1761 8.491 * * [simplify]: Extracting #4: cost 0 inf + 1803 8.492 * [simplify]: Simplified to (* J (fma 1/4 (* K K) -2)) 8.492 * [simplify]: Simplified (2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* J (fma 1/4 (* K K) -2)))) 8.493 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 8.493 * [simplify]: Simplifying (* -2 (* (cos (* 1/2 K)) J)) 8.493 * * [simplify]: iters left: 6 (8 enodes) 8.498 * * [simplify]: iters left: 5 (29 enodes) 8.507 * * [simplify]: iters left: 4 (37 enodes) 8.521 * * [simplify]: iters left: 3 (42 enodes) 8.532 * * [simplify]: Extracting #0: cost 1 inf + 0 8.532 * * [simplify]: Extracting #1: cost 8 inf + 0 8.533 * * [simplify]: Extracting #2: cost 11 inf + 2 8.533 * * [simplify]: Extracting #3: cost 13 inf + 44 8.533 * * [simplify]: Extracting #4: cost 9 inf + 130 8.533 * * [simplify]: Extracting #5: cost 1 inf + 1132 8.534 * * [simplify]: Extracting #6: cost 0 inf + 1316 8.534 * [simplify]: Simplified to (* (* (cos (* K 1/2)) -2) J) 8.534 * [simplify]: Simplified (2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (cos (* K 1/2)) -2) J))) 8.535 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 8.535 * [simplify]: Simplifying (* -2 (* (cos (* 1/2 K)) J)) 8.535 * * [simplify]: iters left: 6 (8 enodes) 8.540 * * [simplify]: iters left: 5 (29 enodes) 8.544 * * [simplify]: iters left: 4 (37 enodes) 8.551 * * [simplify]: iters left: 3 (42 enodes) 8.557 * * [simplify]: Extracting #0: cost 1 inf + 0 8.557 * * [simplify]: Extracting #1: cost 8 inf + 0 8.557 * * [simplify]: Extracting #2: cost 11 inf + 2 8.557 * * [simplify]: Extracting #3: cost 13 inf + 44 8.557 * * [simplify]: Extracting #4: cost 9 inf + 130 8.557 * * [simplify]: Extracting #5: cost 1 inf + 1132 8.557 * * [simplify]: Extracting #6: cost 0 inf + 1316 8.558 * [simplify]: Simplified to (* (* (cos (* K 1/2)) -2) J) 8.558 * [simplify]: Simplified (2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (cos (* K 1/2)) -2) J))) 8.558 * * * [progress]: adding candidates to table 9.992 * * [progress]: iteration 2 / 4 9.992 * * * [progress]: picking best candidate 10.021 * * * * [pick]: Picked # 10.021 * * * [progress]: localizing error 10.049 * * * [progress]: generating rewritten candidates 10.050 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 10.122 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 10.205 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 10.227 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2) 10.243 * * * [progress]: generating series expansions 10.243 * * * * [progress]: [ 1 / 4 ] generating series at (2) 10.243 * [backup-simplify]: Simplify (* (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 10.243 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 10.243 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 10.243 * [taylor]: Taking taylor expansion of -2 in K 10.243 * [backup-simplify]: Simplify -2 into -2 10.243 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 10.243 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.243 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.243 * [taylor]: Taking taylor expansion of 1/2 in K 10.243 * [backup-simplify]: Simplify 1/2 into 1/2 10.243 * [taylor]: Taking taylor expansion of K in K 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify 1 into 1 10.244 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.244 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.244 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 10.244 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 10.244 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.244 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 10.244 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.244 * [taylor]: Taking taylor expansion of 1 in K 10.244 * [backup-simplify]: Simplify 1 into 1 10.244 * [taylor]: Taking taylor expansion of 1 in K 10.244 * [backup-simplify]: Simplify 1 into 1 10.244 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 10.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 10.244 * [taylor]: Taking taylor expansion of 1/2 in K 10.244 * [backup-simplify]: Simplify 1/2 into 1/2 10.244 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 10.244 * [taylor]: Taking taylor expansion of U in K 10.245 * [backup-simplify]: Simplify U into U 10.245 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.245 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.245 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.245 * [taylor]: Taking taylor expansion of 1/2 in K 10.245 * [backup-simplify]: Simplify 1/2 into 1/2 10.245 * [taylor]: Taking taylor expansion of K in K 10.245 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify 1 into 1 10.245 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.245 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.245 * [taylor]: Taking taylor expansion of J in K 10.245 * [backup-simplify]: Simplify J into J 10.245 * [backup-simplify]: Simplify (* 1 J) into J 10.245 * [backup-simplify]: Simplify (/ U J) into (/ U J) 10.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 10.246 * [taylor]: Taking taylor expansion of 1/2 in K 10.246 * [backup-simplify]: Simplify 1/2 into 1/2 10.246 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 10.246 * [taylor]: Taking taylor expansion of U in K 10.246 * [backup-simplify]: Simplify U into U 10.246 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.246 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.246 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.246 * [taylor]: Taking taylor expansion of 1/2 in K 10.246 * [backup-simplify]: Simplify 1/2 into 1/2 10.246 * [taylor]: Taking taylor expansion of K in K 10.246 * [backup-simplify]: Simplify 0 into 0 10.246 * [backup-simplify]: Simplify 1 into 1 10.246 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.246 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.246 * [taylor]: Taking taylor expansion of J in K 10.246 * [backup-simplify]: Simplify J into J 10.246 * [backup-simplify]: Simplify (* 1 J) into J 10.247 * [backup-simplify]: Simplify (/ U J) into (/ U J) 10.247 * [backup-simplify]: Simplify (* 1 1) into 1 10.247 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 10.247 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 10.247 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.247 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.247 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.248 * [backup-simplify]: Simplify (+ 0) into 0 10.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 10.249 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 10.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 10.250 * [backup-simplify]: Simplify (+ 0) into 0 10.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 10.250 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 10.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 10.251 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 10.252 * [backup-simplify]: Simplify (+ 0 0) into 0 10.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 10.252 * [taylor]: Taking taylor expansion of J in K 10.252 * [backup-simplify]: Simplify J into J 10.252 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 10.252 * [taylor]: Taking taylor expansion of -2 in J 10.252 * [backup-simplify]: Simplify -2 into -2 10.252 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 10.252 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.252 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.252 * [taylor]: Taking taylor expansion of 1/2 in J 10.252 * [backup-simplify]: Simplify 1/2 into 1/2 10.252 * [taylor]: Taking taylor expansion of K in J 10.252 * [backup-simplify]: Simplify K into K 10.252 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.252 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.252 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.252 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 10.252 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 10.253 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.253 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 10.253 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.253 * [taylor]: Taking taylor expansion of 1 in J 10.253 * [backup-simplify]: Simplify 1 into 1 10.253 * [taylor]: Taking taylor expansion of 1 in J 10.253 * [backup-simplify]: Simplify 1 into 1 10.253 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 10.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 10.253 * [taylor]: Taking taylor expansion of 1/2 in J 10.253 * [backup-simplify]: Simplify 1/2 into 1/2 10.253 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 10.253 * [taylor]: Taking taylor expansion of U in J 10.253 * [backup-simplify]: Simplify U into U 10.253 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.253 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.253 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.253 * [taylor]: Taking taylor expansion of 1/2 in J 10.253 * [backup-simplify]: Simplify 1/2 into 1/2 10.253 * [taylor]: Taking taylor expansion of K in J 10.253 * [backup-simplify]: Simplify K into K 10.253 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.253 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.253 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.253 * [taylor]: Taking taylor expansion of J in J 10.253 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify 1 into 1 10.253 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.253 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.254 * [backup-simplify]: Simplify (- 0) into 0 10.254 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.254 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.254 * [backup-simplify]: Simplify (+ 0) into 0 10.255 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.257 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.257 * [backup-simplify]: Simplify (- 0) into 0 10.257 * [backup-simplify]: Simplify (+ 0 0) into 0 10.258 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.258 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 10.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 10.258 * [taylor]: Taking taylor expansion of 1/2 in J 10.258 * [backup-simplify]: Simplify 1/2 into 1/2 10.258 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 10.258 * [taylor]: Taking taylor expansion of U in J 10.258 * [backup-simplify]: Simplify U into U 10.258 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.258 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.258 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.258 * [taylor]: Taking taylor expansion of 1/2 in J 10.258 * [backup-simplify]: Simplify 1/2 into 1/2 10.258 * [taylor]: Taking taylor expansion of K in J 10.258 * [backup-simplify]: Simplify K into K 10.258 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.258 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.258 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.258 * [taylor]: Taking taylor expansion of J in J 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify 1 into 1 10.258 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.258 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.259 * [backup-simplify]: Simplify (- 0) into 0 10.259 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.259 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.259 * [backup-simplify]: Simplify (+ 0) into 0 10.260 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.261 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.262 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.262 * [backup-simplify]: Simplify (- 0) into 0 10.262 * [backup-simplify]: Simplify (+ 0 0) into 0 10.263 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.263 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 10.263 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.263 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.263 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.264 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.264 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.265 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.266 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.268 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.268 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.269 * [backup-simplify]: Simplify (- 0) into 0 10.269 * [backup-simplify]: Simplify (+ 0 0) into 0 10.272 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.273 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 10.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.276 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.277 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.278 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.278 * [backup-simplify]: Simplify (- 0) into 0 10.279 * [backup-simplify]: Simplify (+ 0 0) into 0 10.279 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.280 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 10.281 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 10.281 * [backup-simplify]: Simplify (+ 0 0) into 0 10.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 10.281 * [taylor]: Taking taylor expansion of J in J 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify 1 into 1 10.281 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 10.281 * [taylor]: Taking taylor expansion of -2 in U 10.281 * [backup-simplify]: Simplify -2 into -2 10.281 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 10.281 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.281 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.281 * [taylor]: Taking taylor expansion of 1/2 in U 10.282 * [backup-simplify]: Simplify 1/2 into 1/2 10.282 * [taylor]: Taking taylor expansion of K in U 10.282 * [backup-simplify]: Simplify K into K 10.282 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.282 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.282 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.282 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 10.282 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.282 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.282 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 10.282 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.282 * [taylor]: Taking taylor expansion of 1 in U 10.282 * [backup-simplify]: Simplify 1 into 1 10.282 * [taylor]: Taking taylor expansion of 1 in U 10.282 * [backup-simplify]: Simplify 1 into 1 10.282 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.282 * [taylor]: Taking taylor expansion of 1/2 in U 10.282 * [backup-simplify]: Simplify 1/2 into 1/2 10.282 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.282 * [taylor]: Taking taylor expansion of U in U 10.282 * [backup-simplify]: Simplify 0 into 0 10.282 * [backup-simplify]: Simplify 1 into 1 10.282 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.282 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.282 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.282 * [taylor]: Taking taylor expansion of 1/2 in U 10.282 * [backup-simplify]: Simplify 1/2 into 1/2 10.283 * [taylor]: Taking taylor expansion of K in U 10.283 * [backup-simplify]: Simplify K into K 10.283 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.283 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.283 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.283 * [taylor]: Taking taylor expansion of J in U 10.283 * [backup-simplify]: Simplify J into J 10.283 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.283 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.283 * [backup-simplify]: Simplify (- 0) into 0 10.283 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.284 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.284 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.284 * [taylor]: Taking taylor expansion of 1/2 in U 10.284 * [backup-simplify]: Simplify 1/2 into 1/2 10.284 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.284 * [taylor]: Taking taylor expansion of U in U 10.284 * [backup-simplify]: Simplify 0 into 0 10.284 * [backup-simplify]: Simplify 1 into 1 10.284 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.284 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.284 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.284 * [taylor]: Taking taylor expansion of 1/2 in U 10.284 * [backup-simplify]: Simplify 1/2 into 1/2 10.284 * [taylor]: Taking taylor expansion of K in U 10.284 * [backup-simplify]: Simplify K into K 10.284 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.284 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.284 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.284 * [taylor]: Taking taylor expansion of J in U 10.284 * [backup-simplify]: Simplify J into J 10.284 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.284 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.285 * [backup-simplify]: Simplify (- 0) into 0 10.285 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.285 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.285 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.286 * [backup-simplify]: Simplify (* 1 1) into 1 10.286 * [backup-simplify]: Simplify (+ 1 0) into 1 10.286 * [backup-simplify]: Simplify (sqrt 1) into 1 10.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.287 * [backup-simplify]: Simplify (+ 0 0) into 0 10.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.288 * [taylor]: Taking taylor expansion of J in U 10.288 * [backup-simplify]: Simplify J into J 10.288 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 10.288 * [taylor]: Taking taylor expansion of -2 in U 10.288 * [backup-simplify]: Simplify -2 into -2 10.288 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 10.289 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.289 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.289 * [taylor]: Taking taylor expansion of 1/2 in U 10.289 * [backup-simplify]: Simplify 1/2 into 1/2 10.289 * [taylor]: Taking taylor expansion of K in U 10.289 * [backup-simplify]: Simplify K into K 10.289 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.289 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.289 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.289 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 10.289 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.289 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.290 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 10.290 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.290 * [taylor]: Taking taylor expansion of 1 in U 10.290 * [backup-simplify]: Simplify 1 into 1 10.290 * [taylor]: Taking taylor expansion of 1 in U 10.290 * [backup-simplify]: Simplify 1 into 1 10.290 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.290 * [taylor]: Taking taylor expansion of 1/2 in U 10.290 * [backup-simplify]: Simplify 1/2 into 1/2 10.290 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.290 * [taylor]: Taking taylor expansion of U in U 10.290 * [backup-simplify]: Simplify 0 into 0 10.290 * [backup-simplify]: Simplify 1 into 1 10.290 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.290 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.290 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.290 * [taylor]: Taking taylor expansion of 1/2 in U 10.290 * [backup-simplify]: Simplify 1/2 into 1/2 10.290 * [taylor]: Taking taylor expansion of K in U 10.290 * [backup-simplify]: Simplify K into K 10.290 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.290 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.290 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.291 * [taylor]: Taking taylor expansion of J in U 10.291 * [backup-simplify]: Simplify J into J 10.291 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.291 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.291 * [backup-simplify]: Simplify (- 0) into 0 10.291 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.291 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.292 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.292 * [taylor]: Taking taylor expansion of 1/2 in U 10.292 * [backup-simplify]: Simplify 1/2 into 1/2 10.292 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.292 * [taylor]: Taking taylor expansion of U in U 10.292 * [backup-simplify]: Simplify 0 into 0 10.292 * [backup-simplify]: Simplify 1 into 1 10.292 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.292 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.292 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.292 * [taylor]: Taking taylor expansion of 1/2 in U 10.292 * [backup-simplify]: Simplify 1/2 into 1/2 10.292 * [taylor]: Taking taylor expansion of K in U 10.292 * [backup-simplify]: Simplify K into K 10.292 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.292 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.292 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.292 * [taylor]: Taking taylor expansion of J in U 10.292 * [backup-simplify]: Simplify J into J 10.292 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.292 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.293 * [backup-simplify]: Simplify (- 0) into 0 10.293 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.293 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.293 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.294 * [backup-simplify]: Simplify (* 1 1) into 1 10.294 * [backup-simplify]: Simplify (+ 1 0) into 1 10.294 * [backup-simplify]: Simplify (sqrt 1) into 1 10.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.296 * [backup-simplify]: Simplify (+ 0 0) into 0 10.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.296 * [taylor]: Taking taylor expansion of J in U 10.296 * [backup-simplify]: Simplify J into J 10.296 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.297 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.297 * [backup-simplify]: Simplify (- 0) into 0 10.297 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.297 * [backup-simplify]: Simplify (* 1 J) into J 10.297 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.297 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 10.297 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 10.297 * [taylor]: Taking taylor expansion of -2 in J 10.297 * [backup-simplify]: Simplify -2 into -2 10.297 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.297 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.297 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.297 * [taylor]: Taking taylor expansion of 1/2 in J 10.298 * [backup-simplify]: Simplify 1/2 into 1/2 10.298 * [taylor]: Taking taylor expansion of K in J 10.298 * [backup-simplify]: Simplify K into K 10.298 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.298 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.298 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.298 * [taylor]: Taking taylor expansion of J in J 10.298 * [backup-simplify]: Simplify 0 into 0 10.298 * [backup-simplify]: Simplify 1 into 1 10.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 10.299 * [backup-simplify]: Simplify (+ 0) into 0 10.299 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.301 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.301 * [backup-simplify]: Simplify (- 0) into 0 10.302 * [backup-simplify]: Simplify (+ 0 0) into 0 10.302 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.302 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 10.302 * [taylor]: Taking taylor expansion of 0 in J 10.302 * [backup-simplify]: Simplify 0 into 0 10.302 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.302 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.303 * [backup-simplify]: Simplify (- 0) into 0 10.303 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.303 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.303 * [backup-simplify]: Simplify (* -2 0) into 0 10.303 * [taylor]: Taking taylor expansion of 0 in K 10.303 * [backup-simplify]: Simplify 0 into 0 10.303 * [backup-simplify]: Simplify 0 into 0 10.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.304 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.305 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.305 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.305 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.307 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 10.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.308 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.309 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.310 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.310 * [backup-simplify]: Simplify (- 0) into 0 10.310 * [backup-simplify]: Simplify (+ 0 0) into 0 10.311 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 10.311 * [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)))) 10.311 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 10.311 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 10.311 * [taylor]: Taking taylor expansion of 1/4 in J 10.311 * [backup-simplify]: Simplify 1/4 into 1/4 10.311 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 10.311 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.311 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.311 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.311 * [taylor]: Taking taylor expansion of 1/2 in J 10.311 * [backup-simplify]: Simplify 1/2 into 1/2 10.311 * [taylor]: Taking taylor expansion of K in J 10.311 * [backup-simplify]: Simplify K into K 10.311 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.311 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.311 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.311 * [taylor]: Taking taylor expansion of J in J 10.311 * [backup-simplify]: Simplify 0 into 0 10.311 * [backup-simplify]: Simplify 1 into 1 10.312 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.312 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.312 * [backup-simplify]: Simplify (- 0) into 0 10.312 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.312 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.312 * [backup-simplify]: Simplify (+ 0) into 0 10.313 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.314 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.314 * [backup-simplify]: Simplify (- 0) into 0 10.314 * [backup-simplify]: Simplify (+ 0 0) into 0 10.314 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.314 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 10.315 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 10.315 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 10.315 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 10.315 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 10.315 * [taylor]: Taking taylor expansion of 1/4 in K 10.315 * [backup-simplify]: Simplify 1/4 into 1/4 10.315 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 10.315 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.315 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.315 * [taylor]: Taking taylor expansion of 1/2 in K 10.315 * [backup-simplify]: Simplify 1/2 into 1/2 10.315 * [taylor]: Taking taylor expansion of K in K 10.315 * [backup-simplify]: Simplify 0 into 0 10.315 * [backup-simplify]: Simplify 1 into 1 10.315 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.316 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.316 * [backup-simplify]: Simplify (/ 1 1) into 1 10.316 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 10.316 * [backup-simplify]: Simplify (- 1/4) into -1/4 10.316 * [backup-simplify]: Simplify -1/4 into -1/4 10.316 * [taylor]: Taking taylor expansion of 0 in K 10.316 * [backup-simplify]: Simplify 0 into 0 10.316 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify (+ 0) into 0 10.317 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.318 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.318 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.318 * [backup-simplify]: Simplify (- 0) into 0 10.318 * [backup-simplify]: Simplify (+ 0 0) into 0 10.319 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.319 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 10.319 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 10.319 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 10.319 * [taylor]: Taking taylor expansion of 2 in K 10.319 * [backup-simplify]: Simplify 2 into 2 10.319 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.319 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.319 * [taylor]: Taking taylor expansion of 1/2 in K 10.319 * [backup-simplify]: Simplify 1/2 into 1/2 10.319 * [taylor]: Taking taylor expansion of K in K 10.319 * [backup-simplify]: Simplify 0 into 0 10.319 * [backup-simplify]: Simplify 1 into 1 10.320 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.320 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.320 * [backup-simplify]: Simplify (* 2 1) into 2 10.320 * [backup-simplify]: Simplify (- 2) into -2 10.320 * [backup-simplify]: Simplify -2 into -2 10.321 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.321 * [backup-simplify]: Simplify (+ 0) into 0 10.322 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.323 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.323 * [backup-simplify]: Simplify (- 0) into 0 10.323 * [backup-simplify]: Simplify (+ 0 0) into 0 10.323 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.324 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 10.324 * [backup-simplify]: Simplify (+ 0) into 0 10.324 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.326 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.326 * [backup-simplify]: Simplify (- 0) into 0 10.326 * [backup-simplify]: Simplify (+ 0 0) into 0 10.326 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.326 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 10.327 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 10.327 * [backup-simplify]: Simplify (+ 0 0) into 0 10.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 10.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 10.329 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.329 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.331 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.331 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.331 * [backup-simplify]: Simplify (- 0) into 0 10.332 * [backup-simplify]: Simplify (+ 0 0) into 0 10.332 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 10.333 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 10.333 * [taylor]: Taking taylor expansion of 0 in J 10.333 * [backup-simplify]: Simplify 0 into 0 10.333 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.334 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.335 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.336 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.336 * [backup-simplify]: Simplify (- 0) into 0 10.336 * [backup-simplify]: Simplify (+ 0 0) into 0 10.336 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.337 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 10.337 * [backup-simplify]: Simplify (- 0) into 0 10.337 * [taylor]: Taking taylor expansion of 0 in K 10.337 * [backup-simplify]: Simplify 0 into 0 10.337 * [backup-simplify]: Simplify 0 into 0 10.337 * [taylor]: Taking taylor expansion of 0 in K 10.337 * [backup-simplify]: Simplify 0 into 0 10.337 * [backup-simplify]: Simplify 0 into 0 10.338 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.338 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.339 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.340 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.340 * [backup-simplify]: Simplify (- 0) into 0 10.341 * [backup-simplify]: Simplify (+ 0 0) into 0 10.341 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.342 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 10.342 * [taylor]: Taking taylor expansion of 0 in K 10.342 * [backup-simplify]: Simplify 0 into 0 10.342 * [backup-simplify]: Simplify 0 into 0 10.343 * [backup-simplify]: Simplify (+ 0) into 0 10.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.344 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 10.345 * [backup-simplify]: Simplify (- 0) into 0 10.345 * [backup-simplify]: Simplify 0 into 0 10.345 * [backup-simplify]: Simplify 0 into 0 10.345 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 10.345 * [backup-simplify]: Simplify (* (hypot 1 (* (/ 1 U) (/ 1 (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 10.345 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 10.345 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 10.346 * [taylor]: Taking taylor expansion of -2 in K 10.346 * [backup-simplify]: Simplify -2 into -2 10.346 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 10.346 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 10.346 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 10.346 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.346 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 10.346 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.346 * [taylor]: Taking taylor expansion of 1 in K 10.346 * [backup-simplify]: Simplify 1 into 1 10.346 * [taylor]: Taking taylor expansion of 1 in K 10.346 * [backup-simplify]: Simplify 1 into 1 10.346 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 10.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 10.346 * [taylor]: Taking taylor expansion of 1/2 in K 10.346 * [backup-simplify]: Simplify 1/2 into 1/2 10.346 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 10.346 * [taylor]: Taking taylor expansion of J in K 10.346 * [backup-simplify]: Simplify J into J 10.346 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 10.346 * [taylor]: Taking taylor expansion of U in K 10.346 * [backup-simplify]: Simplify U into U 10.346 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.346 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.346 * [taylor]: Taking taylor expansion of 1/2 in K 10.346 * [backup-simplify]: Simplify 1/2 into 1/2 10.346 * [taylor]: Taking taylor expansion of K in K 10.346 * [backup-simplify]: Simplify 0 into 0 10.346 * [backup-simplify]: Simplify 1 into 1 10.347 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.347 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.347 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.347 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 10.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 10.347 * [taylor]: Taking taylor expansion of 1/2 in K 10.347 * [backup-simplify]: Simplify 1/2 into 1/2 10.347 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 10.347 * [taylor]: Taking taylor expansion of J in K 10.347 * [backup-simplify]: Simplify J into J 10.347 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 10.347 * [taylor]: Taking taylor expansion of U in K 10.347 * [backup-simplify]: Simplify U into U 10.347 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.347 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.347 * [taylor]: Taking taylor expansion of 1/2 in K 10.347 * [backup-simplify]: Simplify 1/2 into 1/2 10.347 * [taylor]: Taking taylor expansion of K in K 10.347 * [backup-simplify]: Simplify 0 into 0 10.347 * [backup-simplify]: Simplify 1 into 1 10.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.348 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.348 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.348 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 10.349 * [backup-simplify]: Simplify (* 1 1) into 1 10.349 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 10.349 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 10.349 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.349 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 10.350 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 10.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.351 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 10.351 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 10.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 10.352 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 10.352 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 10.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 10.353 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 10.353 * [backup-simplify]: Simplify (+ 0 0) into 0 10.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 10.354 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.354 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.354 * [taylor]: Taking taylor expansion of 1/2 in K 10.354 * [backup-simplify]: Simplify 1/2 into 1/2 10.354 * [taylor]: Taking taylor expansion of K in K 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [backup-simplify]: Simplify 1 into 1 10.354 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.354 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.354 * [taylor]: Taking taylor expansion of J in K 10.354 * [backup-simplify]: Simplify J into J 10.355 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 10.355 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 10.355 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 10.356 * [taylor]: Taking taylor expansion of -2 in J 10.356 * [backup-simplify]: Simplify -2 into -2 10.356 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 10.356 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 10.356 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 10.356 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.356 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 10.356 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.356 * [taylor]: Taking taylor expansion of 1 in J 10.356 * [backup-simplify]: Simplify 1 into 1 10.356 * [taylor]: Taking taylor expansion of 1 in J 10.356 * [backup-simplify]: Simplify 1 into 1 10.356 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 10.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 10.356 * [taylor]: Taking taylor expansion of 1/2 in J 10.356 * [backup-simplify]: Simplify 1/2 into 1/2 10.356 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 10.356 * [taylor]: Taking taylor expansion of J in J 10.356 * [backup-simplify]: Simplify 0 into 0 10.356 * [backup-simplify]: Simplify 1 into 1 10.356 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 10.356 * [taylor]: Taking taylor expansion of U in J 10.356 * [backup-simplify]: Simplify U into U 10.356 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.356 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.356 * [taylor]: Taking taylor expansion of 1/2 in J 10.356 * [backup-simplify]: Simplify 1/2 into 1/2 10.356 * [taylor]: Taking taylor expansion of K in J 10.356 * [backup-simplify]: Simplify K into K 10.356 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.356 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.357 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.357 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.357 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.357 * [backup-simplify]: Simplify (- 0) into 0 10.357 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.357 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.357 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 10.357 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 10.357 * [taylor]: Taking taylor expansion of 1/2 in J 10.358 * [backup-simplify]: Simplify 1/2 into 1/2 10.358 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 10.358 * [taylor]: Taking taylor expansion of J in J 10.358 * [backup-simplify]: Simplify 0 into 0 10.358 * [backup-simplify]: Simplify 1 into 1 10.358 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 10.358 * [taylor]: Taking taylor expansion of U in J 10.358 * [backup-simplify]: Simplify U into U 10.358 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.358 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.358 * [taylor]: Taking taylor expansion of 1/2 in J 10.358 * [backup-simplify]: Simplify 1/2 into 1/2 10.358 * [taylor]: Taking taylor expansion of K in J 10.358 * [backup-simplify]: Simplify K into K 10.358 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.358 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.358 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.358 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.358 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.359 * [backup-simplify]: Simplify (- 0) into 0 10.359 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.359 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.359 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 10.359 * [backup-simplify]: Simplify (* 1 1) into 1 10.360 * [backup-simplify]: Simplify (+ 1 0) into 1 10.360 * [backup-simplify]: Simplify (sqrt 1) into 1 10.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.361 * [backup-simplify]: Simplify (+ 0 0) into 0 10.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.362 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.362 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.362 * [taylor]: Taking taylor expansion of 1/2 in J 10.362 * [backup-simplify]: Simplify 1/2 into 1/2 10.362 * [taylor]: Taking taylor expansion of K in J 10.362 * [backup-simplify]: Simplify K into K 10.362 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.362 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.362 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.362 * [taylor]: Taking taylor expansion of J in J 10.362 * [backup-simplify]: Simplify 0 into 0 10.362 * [backup-simplify]: Simplify 1 into 1 10.362 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.362 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.363 * [backup-simplify]: Simplify (- 0) into 0 10.363 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.363 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 10.363 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.363 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 10.363 * [taylor]: Taking taylor expansion of -2 in U 10.363 * [backup-simplify]: Simplify -2 into -2 10.363 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 10.363 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 10.363 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.363 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.363 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 10.363 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.363 * [taylor]: Taking taylor expansion of 1 in U 10.364 * [backup-simplify]: Simplify 1 into 1 10.364 * [taylor]: Taking taylor expansion of 1 in U 10.364 * [backup-simplify]: Simplify 1 into 1 10.364 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.364 * [taylor]: Taking taylor expansion of 1/2 in U 10.364 * [backup-simplify]: Simplify 1/2 into 1/2 10.364 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.364 * [taylor]: Taking taylor expansion of J in U 10.364 * [backup-simplify]: Simplify J into J 10.364 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.364 * [taylor]: Taking taylor expansion of U in U 10.364 * [backup-simplify]: Simplify 0 into 0 10.364 * [backup-simplify]: Simplify 1 into 1 10.364 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.364 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.364 * [taylor]: Taking taylor expansion of 1/2 in U 10.364 * [backup-simplify]: Simplify 1/2 into 1/2 10.364 * [taylor]: Taking taylor expansion of K in U 10.364 * [backup-simplify]: Simplify K into K 10.364 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.364 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.364 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.364 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.364 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.365 * [backup-simplify]: Simplify (- 0) into 0 10.365 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.365 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.365 * [backup-simplify]: Simplify (+ 0) into 0 10.366 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.366 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.367 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.367 * [backup-simplify]: Simplify (- 0) into 0 10.368 * [backup-simplify]: Simplify (+ 0 0) into 0 10.368 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.368 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.368 * [taylor]: Taking taylor expansion of 1/2 in U 10.368 * [backup-simplify]: Simplify 1/2 into 1/2 10.368 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.368 * [taylor]: Taking taylor expansion of J in U 10.368 * [backup-simplify]: Simplify J into J 10.368 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.368 * [taylor]: Taking taylor expansion of U in U 10.368 * [backup-simplify]: Simplify 0 into 0 10.368 * [backup-simplify]: Simplify 1 into 1 10.368 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.368 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.368 * [taylor]: Taking taylor expansion of 1/2 in U 10.368 * [backup-simplify]: Simplify 1/2 into 1/2 10.368 * [taylor]: Taking taylor expansion of K in U 10.368 * [backup-simplify]: Simplify K into K 10.368 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.368 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.368 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.369 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.369 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.369 * [backup-simplify]: Simplify (- 0) into 0 10.369 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.369 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.369 * [backup-simplify]: Simplify (+ 0) into 0 10.370 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.370 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.370 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.371 * [backup-simplify]: Simplify (- 0) into 0 10.371 * [backup-simplify]: Simplify (+ 0 0) into 0 10.371 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.371 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.371 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.371 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.371 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.372 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.372 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.373 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.373 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.373 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.374 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.374 * [backup-simplify]: Simplify (- 0) into 0 10.374 * [backup-simplify]: Simplify (+ 0 0) into 0 10.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.375 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.376 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.376 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.376 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.377 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.377 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.377 * [backup-simplify]: Simplify (- 0) into 0 10.377 * [backup-simplify]: Simplify (+ 0 0) into 0 10.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.378 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.379 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 10.379 * [backup-simplify]: Simplify (+ 0 0) into 0 10.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.379 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.379 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.379 * [taylor]: Taking taylor expansion of 1/2 in U 10.379 * [backup-simplify]: Simplify 1/2 into 1/2 10.379 * [taylor]: Taking taylor expansion of K in U 10.379 * [backup-simplify]: Simplify K into K 10.379 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.379 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.379 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.379 * [taylor]: Taking taylor expansion of J in U 10.379 * [backup-simplify]: Simplify J into J 10.379 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.379 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.380 * [backup-simplify]: Simplify (- 0) into 0 10.380 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.380 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 10.380 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 10.380 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 10.380 * [taylor]: Taking taylor expansion of -2 in U 10.380 * [backup-simplify]: Simplify -2 into -2 10.380 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 10.380 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 10.380 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.380 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.380 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 10.380 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.380 * [taylor]: Taking taylor expansion of 1 in U 10.380 * [backup-simplify]: Simplify 1 into 1 10.380 * [taylor]: Taking taylor expansion of 1 in U 10.380 * [backup-simplify]: Simplify 1 into 1 10.380 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.380 * [taylor]: Taking taylor expansion of 1/2 in U 10.380 * [backup-simplify]: Simplify 1/2 into 1/2 10.380 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.380 * [taylor]: Taking taylor expansion of J in U 10.380 * [backup-simplify]: Simplify J into J 10.380 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.380 * [taylor]: Taking taylor expansion of U in U 10.380 * [backup-simplify]: Simplify 0 into 0 10.380 * [backup-simplify]: Simplify 1 into 1 10.380 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.380 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.380 * [taylor]: Taking taylor expansion of 1/2 in U 10.380 * [backup-simplify]: Simplify 1/2 into 1/2 10.380 * [taylor]: Taking taylor expansion of K in U 10.380 * [backup-simplify]: Simplify K into K 10.380 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.380 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.380 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.380 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.380 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.381 * [backup-simplify]: Simplify (- 0) into 0 10.381 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.381 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.381 * [backup-simplify]: Simplify (+ 0) into 0 10.381 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.382 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.382 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.382 * [backup-simplify]: Simplify (- 0) into 0 10.383 * [backup-simplify]: Simplify (+ 0 0) into 0 10.383 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.383 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.383 * [taylor]: Taking taylor expansion of 1/2 in U 10.383 * [backup-simplify]: Simplify 1/2 into 1/2 10.383 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.383 * [taylor]: Taking taylor expansion of J in U 10.383 * [backup-simplify]: Simplify J into J 10.383 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.383 * [taylor]: Taking taylor expansion of U in U 10.383 * [backup-simplify]: Simplify 0 into 0 10.383 * [backup-simplify]: Simplify 1 into 1 10.383 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.383 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.383 * [taylor]: Taking taylor expansion of 1/2 in U 10.383 * [backup-simplify]: Simplify 1/2 into 1/2 10.383 * [taylor]: Taking taylor expansion of K in U 10.383 * [backup-simplify]: Simplify K into K 10.383 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.383 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.383 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.383 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.384 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.384 * [backup-simplify]: Simplify (- 0) into 0 10.384 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.384 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.384 * [backup-simplify]: Simplify (+ 0) into 0 10.384 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.385 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.385 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.386 * [backup-simplify]: Simplify (- 0) into 0 10.386 * [backup-simplify]: Simplify (+ 0 0) into 0 10.386 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.386 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.386 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.386 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.387 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.387 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.387 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.387 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.388 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.388 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.390 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.390 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.391 * [backup-simplify]: Simplify (- 0) into 0 10.391 * [backup-simplify]: Simplify (+ 0 0) into 0 10.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.391 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.392 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.393 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.393 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.393 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.394 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.394 * [backup-simplify]: Simplify (- 0) into 0 10.394 * [backup-simplify]: Simplify (+ 0 0) into 0 10.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.395 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.395 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 10.396 * [backup-simplify]: Simplify (+ 0 0) into 0 10.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.396 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.396 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.396 * [taylor]: Taking taylor expansion of 1/2 in U 10.396 * [backup-simplify]: Simplify 1/2 into 1/2 10.396 * [taylor]: Taking taylor expansion of K in U 10.396 * [backup-simplify]: Simplify K into K 10.396 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.396 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.396 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.396 * [taylor]: Taking taylor expansion of J in U 10.397 * [backup-simplify]: Simplify J into J 10.397 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.397 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.397 * [backup-simplify]: Simplify (- 0) into 0 10.397 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.397 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 10.397 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 10.398 * [backup-simplify]: Simplify (* -2 1/2) into -1 10.398 * [taylor]: Taking taylor expansion of -1 in J 10.398 * [backup-simplify]: Simplify -1 into -1 10.398 * [backup-simplify]: Simplify (+ 0) into 0 10.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.399 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.400 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.400 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.401 * [backup-simplify]: Simplify (- 0) into 0 10.401 * [backup-simplify]: Simplify (+ 0 0) into 0 10.401 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.401 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 10.402 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 10.402 * [taylor]: Taking taylor expansion of 0 in J 10.402 * [backup-simplify]: Simplify 0 into 0 10.402 * [taylor]: Taking taylor expansion of -1 in K 10.402 * [backup-simplify]: Simplify -1 into -1 10.402 * [backup-simplify]: Simplify -1 into -1 10.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.404 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.404 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.405 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.405 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.406 * [backup-simplify]: Simplify (- 0) into 0 10.406 * [backup-simplify]: Simplify (+ 0 0) into 0 10.406 * [backup-simplify]: Simplify (* 1 1) into 1 10.407 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.408 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.411 * [backup-simplify]: Simplify (- 0) into 0 10.411 * [backup-simplify]: Simplify (+ 0 0) into 0 10.412 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.413 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.414 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.415 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.415 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.418 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.418 * [backup-simplify]: Simplify (- 0) into 0 10.418 * [backup-simplify]: Simplify (+ 0 0) into 0 10.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.420 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.422 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 10.422 * [backup-simplify]: Simplify (+ 1 0) into 1 10.423 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 10.424 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 10.424 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 10.425 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 10.425 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 10.425 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 10.425 * [taylor]: Taking taylor expansion of 2 in J 10.425 * [backup-simplify]: Simplify 2 into 2 10.425 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 10.425 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.425 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.425 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.425 * [taylor]: Taking taylor expansion of 1/2 in J 10.425 * [backup-simplify]: Simplify 1/2 into 1/2 10.425 * [taylor]: Taking taylor expansion of K in J 10.425 * [backup-simplify]: Simplify K into K 10.425 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.425 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.425 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.425 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.426 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.426 * [backup-simplify]: Simplify (- 0) into 0 10.426 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.426 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.426 * [taylor]: Taking taylor expansion of J in J 10.426 * [backup-simplify]: Simplify 0 into 0 10.426 * [backup-simplify]: Simplify 1 into 1 10.426 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.427 * [backup-simplify]: Simplify (* 1 1) into 1 10.427 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 10.427 * [backup-simplify]: Simplify (+ 0) into 0 10.427 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.428 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.428 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.429 * [backup-simplify]: Simplify (- 0) into 0 10.429 * [backup-simplify]: Simplify (+ 0 0) into 0 10.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 10.430 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.430 * [backup-simplify]: Simplify (- 0) into 0 10.430 * [taylor]: Taking taylor expansion of 0 in K 10.431 * [backup-simplify]: Simplify 0 into 0 10.431 * [backup-simplify]: Simplify 0 into 0 10.431 * [taylor]: Taking taylor expansion of 0 in K 10.431 * [backup-simplify]: Simplify 0 into 0 10.431 * [backup-simplify]: Simplify 0 into 0 10.431 * [taylor]: Taking taylor expansion of 0 in K 10.431 * [backup-simplify]: Simplify 0 into 0 10.431 * [backup-simplify]: Simplify 0 into 0 10.431 * [backup-simplify]: Simplify 0 into 0 10.431 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.432 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.433 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.434 * [backup-simplify]: Simplify (- 0) into 0 10.434 * [backup-simplify]: Simplify (+ 0 0) into 0 10.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.436 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.436 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.437 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.437 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.438 * [backup-simplify]: Simplify (- 0) into 0 10.438 * [backup-simplify]: Simplify (+ 0 0) into 0 10.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 10.440 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 10.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.442 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.442 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.443 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.444 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.444 * [backup-simplify]: Simplify (- 0) into 0 10.444 * [backup-simplify]: Simplify (+ 0 0) into 0 10.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 10.445 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 10.447 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 10.447 * [backup-simplify]: Simplify (+ 0 0) into 0 10.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 10.448 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.448 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 10.449 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 10.449 * [taylor]: Taking taylor expansion of 0 in J 10.449 * [backup-simplify]: Simplify 0 into 0 10.449 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.450 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.450 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.450 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.451 * [backup-simplify]: Simplify (- 0) into 0 10.451 * [backup-simplify]: Simplify (+ 0 0) into 0 10.451 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.453 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.454 * [backup-simplify]: Simplify (- 0) into 0 10.454 * [taylor]: Taking taylor expansion of 0 in K 10.454 * [backup-simplify]: Simplify 0 into 0 10.454 * [backup-simplify]: Simplify 0 into 0 10.454 * [taylor]: Taking taylor expansion of 0 in K 10.454 * [backup-simplify]: Simplify 0 into 0 10.454 * [backup-simplify]: Simplify 0 into 0 10.454 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 10.454 * [backup-simplify]: Simplify (* (hypot 1 (* (/ 1 (- U)) (/ 1 (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 10.454 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 10.454 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 10.454 * [taylor]: Taking taylor expansion of 2 in K 10.454 * [backup-simplify]: Simplify 2 into 2 10.454 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 10.454 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 10.454 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.454 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.454 * [taylor]: Taking taylor expansion of -1/2 in K 10.454 * [backup-simplify]: Simplify -1/2 into -1/2 10.454 * [taylor]: Taking taylor expansion of K in K 10.454 * [backup-simplify]: Simplify 0 into 0 10.454 * [backup-simplify]: Simplify 1 into 1 10.455 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.455 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.455 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 10.455 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.455 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 10.455 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.455 * [taylor]: Taking taylor expansion of 1 in K 10.455 * [backup-simplify]: Simplify 1 into 1 10.455 * [taylor]: Taking taylor expansion of 1 in K 10.455 * [backup-simplify]: Simplify 1 into 1 10.455 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 10.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.455 * [taylor]: Taking taylor expansion of 1/2 in K 10.455 * [backup-simplify]: Simplify 1/2 into 1/2 10.455 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.455 * [taylor]: Taking taylor expansion of J in K 10.455 * [backup-simplify]: Simplify J into J 10.455 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.455 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.455 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.455 * [taylor]: Taking taylor expansion of -1/2 in K 10.455 * [backup-simplify]: Simplify -1/2 into -1/2 10.455 * [taylor]: Taking taylor expansion of K in K 10.455 * [backup-simplify]: Simplify 0 into 0 10.455 * [backup-simplify]: Simplify 1 into 1 10.455 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.455 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.455 * [taylor]: Taking taylor expansion of U in K 10.455 * [backup-simplify]: Simplify U into U 10.455 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.456 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.456 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.456 * [taylor]: Taking taylor expansion of 1/2 in K 10.456 * [backup-simplify]: Simplify 1/2 into 1/2 10.456 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.456 * [taylor]: Taking taylor expansion of J in K 10.456 * [backup-simplify]: Simplify J into J 10.456 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.456 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.456 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.456 * [taylor]: Taking taylor expansion of -1/2 in K 10.456 * [backup-simplify]: Simplify -1/2 into -1/2 10.456 * [taylor]: Taking taylor expansion of K in K 10.456 * [backup-simplify]: Simplify 0 into 0 10.456 * [backup-simplify]: Simplify 1 into 1 10.456 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.456 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.456 * [taylor]: Taking taylor expansion of U in K 10.456 * [backup-simplify]: Simplify U into U 10.456 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.456 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.457 * [backup-simplify]: Simplify (* 1 1) into 1 10.457 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.457 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.457 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.457 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 10.457 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 10.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 10.458 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 10.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 10.459 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 10.459 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 10.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 10.459 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 10.459 * [backup-simplify]: Simplify (+ 0 0) into 0 10.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 10.460 * [taylor]: Taking taylor expansion of J in K 10.460 * [backup-simplify]: Simplify J into J 10.460 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 10.460 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 10.460 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 10.460 * [taylor]: Taking taylor expansion of 2 in J 10.460 * [backup-simplify]: Simplify 2 into 2 10.460 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 10.460 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 10.460 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.460 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.461 * [taylor]: Taking taylor expansion of -1/2 in J 10.461 * [backup-simplify]: Simplify -1/2 into -1/2 10.461 * [taylor]: Taking taylor expansion of K in J 10.461 * [backup-simplify]: Simplify K into K 10.461 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.461 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.461 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.461 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 10.461 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.461 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 10.461 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.461 * [taylor]: Taking taylor expansion of 1 in J 10.461 * [backup-simplify]: Simplify 1 into 1 10.461 * [taylor]: Taking taylor expansion of 1 in J 10.461 * [backup-simplify]: Simplify 1 into 1 10.461 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 10.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.461 * [taylor]: Taking taylor expansion of 1/2 in J 10.461 * [backup-simplify]: Simplify 1/2 into 1/2 10.461 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.461 * [taylor]: Taking taylor expansion of J in J 10.461 * [backup-simplify]: Simplify 0 into 0 10.461 * [backup-simplify]: Simplify 1 into 1 10.461 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.461 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.461 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.461 * [taylor]: Taking taylor expansion of -1/2 in J 10.461 * [backup-simplify]: Simplify -1/2 into -1/2 10.461 * [taylor]: Taking taylor expansion of K in J 10.461 * [backup-simplify]: Simplify K into K 10.461 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.461 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.461 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.461 * [taylor]: Taking taylor expansion of U in J 10.461 * [backup-simplify]: Simplify U into U 10.461 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.461 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.462 * [backup-simplify]: Simplify (- 0) into 0 10.462 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.462 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.462 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.462 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.462 * [taylor]: Taking taylor expansion of 1/2 in J 10.462 * [backup-simplify]: Simplify 1/2 into 1/2 10.462 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.462 * [taylor]: Taking taylor expansion of J in J 10.462 * [backup-simplify]: Simplify 0 into 0 10.462 * [backup-simplify]: Simplify 1 into 1 10.462 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.462 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.462 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.462 * [taylor]: Taking taylor expansion of -1/2 in J 10.462 * [backup-simplify]: Simplify -1/2 into -1/2 10.462 * [taylor]: Taking taylor expansion of K in J 10.462 * [backup-simplify]: Simplify K into K 10.462 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.462 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.462 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.462 * [taylor]: Taking taylor expansion of U in J 10.462 * [backup-simplify]: Simplify U into U 10.462 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.462 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.463 * [backup-simplify]: Simplify (- 0) into 0 10.463 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.463 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.463 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.463 * [backup-simplify]: Simplify (* 1 1) into 1 10.463 * [backup-simplify]: Simplify (+ 1 0) into 1 10.464 * [backup-simplify]: Simplify (sqrt 1) into 1 10.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.464 * [backup-simplify]: Simplify (+ 0 0) into 0 10.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.465 * [taylor]: Taking taylor expansion of J in J 10.465 * [backup-simplify]: Simplify 0 into 0 10.465 * [backup-simplify]: Simplify 1 into 1 10.465 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.465 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.465 * [backup-simplify]: Simplify (- 0) into 0 10.465 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.465 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.465 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.465 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 10.465 * [taylor]: Taking taylor expansion of 2 in U 10.465 * [backup-simplify]: Simplify 2 into 2 10.465 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 10.465 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.465 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.465 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.465 * [taylor]: Taking taylor expansion of -1/2 in U 10.465 * [backup-simplify]: Simplify -1/2 into -1/2 10.465 * [taylor]: Taking taylor expansion of K in U 10.465 * [backup-simplify]: Simplify K into K 10.465 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.465 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.466 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.466 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.466 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.466 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.466 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.466 * [taylor]: Taking taylor expansion of 1 in U 10.466 * [backup-simplify]: Simplify 1 into 1 10.466 * [taylor]: Taking taylor expansion of 1 in U 10.466 * [backup-simplify]: Simplify 1 into 1 10.466 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.466 * [taylor]: Taking taylor expansion of 1/2 in U 10.466 * [backup-simplify]: Simplify 1/2 into 1/2 10.466 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.466 * [taylor]: Taking taylor expansion of J in U 10.466 * [backup-simplify]: Simplify J into J 10.466 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.466 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.466 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.466 * [taylor]: Taking taylor expansion of -1/2 in U 10.466 * [backup-simplify]: Simplify -1/2 into -1/2 10.466 * [taylor]: Taking taylor expansion of K in U 10.466 * [backup-simplify]: Simplify K into K 10.466 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.466 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.466 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.466 * [taylor]: Taking taylor expansion of U in U 10.466 * [backup-simplify]: Simplify 0 into 0 10.466 * [backup-simplify]: Simplify 1 into 1 10.466 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.466 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.466 * [backup-simplify]: Simplify (- 0) into 0 10.467 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.467 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.467 * [backup-simplify]: Simplify (+ 0) into 0 10.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.467 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.468 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.468 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.468 * [backup-simplify]: Simplify (- 0) into 0 10.469 * [backup-simplify]: Simplify (+ 0 0) into 0 10.469 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.469 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.469 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.469 * [taylor]: Taking taylor expansion of 1/2 in U 10.469 * [backup-simplify]: Simplify 1/2 into 1/2 10.469 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.469 * [taylor]: Taking taylor expansion of J in U 10.469 * [backup-simplify]: Simplify J into J 10.469 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.469 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.469 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.469 * [taylor]: Taking taylor expansion of -1/2 in U 10.469 * [backup-simplify]: Simplify -1/2 into -1/2 10.469 * [taylor]: Taking taylor expansion of K in U 10.469 * [backup-simplify]: Simplify K into K 10.469 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.469 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.469 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.469 * [taylor]: Taking taylor expansion of U in U 10.469 * [backup-simplify]: Simplify 0 into 0 10.469 * [backup-simplify]: Simplify 1 into 1 10.469 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.469 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.470 * [backup-simplify]: Simplify (- 0) into 0 10.470 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.470 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.470 * [backup-simplify]: Simplify (+ 0) into 0 10.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.470 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.471 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.471 * [backup-simplify]: Simplify (- 0) into 0 10.472 * [backup-simplify]: Simplify (+ 0 0) into 0 10.472 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.472 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.472 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.472 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.472 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.473 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.473 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.473 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.474 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.474 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.475 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.475 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.475 * [backup-simplify]: Simplify (- 0) into 0 10.476 * [backup-simplify]: Simplify (+ 0 0) into 0 10.477 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.477 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.478 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.479 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.479 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.480 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.481 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.481 * [backup-simplify]: Simplify (- 0) into 0 10.481 * [backup-simplify]: Simplify (+ 0 0) into 0 10.482 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.482 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.483 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.483 * [backup-simplify]: Simplify (+ 0 0) into 0 10.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.484 * [taylor]: Taking taylor expansion of J in U 10.484 * [backup-simplify]: Simplify J into J 10.484 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.484 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.484 * [backup-simplify]: Simplify (- 0) into 0 10.484 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.485 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 10.485 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 10.485 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 10.485 * [taylor]: Taking taylor expansion of 2 in U 10.485 * [backup-simplify]: Simplify 2 into 2 10.485 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 10.485 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.485 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.485 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.485 * [taylor]: Taking taylor expansion of -1/2 in U 10.485 * [backup-simplify]: Simplify -1/2 into -1/2 10.485 * [taylor]: Taking taylor expansion of K in U 10.485 * [backup-simplify]: Simplify K into K 10.485 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.485 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.485 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.485 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.485 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.485 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.485 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.485 * [taylor]: Taking taylor expansion of 1 in U 10.486 * [backup-simplify]: Simplify 1 into 1 10.486 * [taylor]: Taking taylor expansion of 1 in U 10.486 * [backup-simplify]: Simplify 1 into 1 10.486 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.486 * [taylor]: Taking taylor expansion of 1/2 in U 10.486 * [backup-simplify]: Simplify 1/2 into 1/2 10.486 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.486 * [taylor]: Taking taylor expansion of J in U 10.486 * [backup-simplify]: Simplify J into J 10.486 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.486 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.486 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.486 * [taylor]: Taking taylor expansion of -1/2 in U 10.486 * [backup-simplify]: Simplify -1/2 into -1/2 10.486 * [taylor]: Taking taylor expansion of K in U 10.486 * [backup-simplify]: Simplify K into K 10.486 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.486 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.486 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.486 * [taylor]: Taking taylor expansion of U in U 10.486 * [backup-simplify]: Simplify 0 into 0 10.486 * [backup-simplify]: Simplify 1 into 1 10.486 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.486 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.487 * [backup-simplify]: Simplify (- 0) into 0 10.487 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.487 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.488 * [backup-simplify]: Simplify (+ 0) into 0 10.488 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.488 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.490 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.491 * [backup-simplify]: Simplify (- 0) into 0 10.491 * [backup-simplify]: Simplify (+ 0 0) into 0 10.492 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.492 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.492 * [taylor]: Taking taylor expansion of 1/2 in U 10.492 * [backup-simplify]: Simplify 1/2 into 1/2 10.492 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.492 * [taylor]: Taking taylor expansion of J in U 10.492 * [backup-simplify]: Simplify J into J 10.492 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.492 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.492 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.492 * [taylor]: Taking taylor expansion of -1/2 in U 10.492 * [backup-simplify]: Simplify -1/2 into -1/2 10.492 * [taylor]: Taking taylor expansion of K in U 10.492 * [backup-simplify]: Simplify K into K 10.492 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.492 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.492 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.493 * [taylor]: Taking taylor expansion of U in U 10.493 * [backup-simplify]: Simplify 0 into 0 10.493 * [backup-simplify]: Simplify 1 into 1 10.493 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.493 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.493 * [backup-simplify]: Simplify (- 0) into 0 10.493 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.493 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.494 * [backup-simplify]: Simplify (+ 0) into 0 10.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.495 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.496 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.497 * [backup-simplify]: Simplify (- 0) into 0 10.497 * [backup-simplify]: Simplify (+ 0 0) into 0 10.498 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.498 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.498 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.498 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.498 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.498 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.499 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.500 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.500 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.501 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.501 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.504 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.505 * [backup-simplify]: Simplify (- 0) into 0 10.505 * [backup-simplify]: Simplify (+ 0 0) into 0 10.506 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.506 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.507 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.508 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.508 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.509 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.510 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.510 * [backup-simplify]: Simplify (- 0) into 0 10.510 * [backup-simplify]: Simplify (+ 0 0) into 0 10.511 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.511 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.512 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.513 * [backup-simplify]: Simplify (+ 0 0) into 0 10.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.513 * [taylor]: Taking taylor expansion of J in U 10.513 * [backup-simplify]: Simplify J into J 10.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.513 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.513 * [backup-simplify]: Simplify (- 0) into 0 10.513 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.514 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 10.514 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 10.514 * [backup-simplify]: Simplify (* 2 1/2) into 1 10.514 * [taylor]: Taking taylor expansion of 1 in J 10.514 * [backup-simplify]: Simplify 1 into 1 10.515 * [backup-simplify]: Simplify (+ 0) into 0 10.515 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.515 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.517 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.517 * [backup-simplify]: Simplify (- 0) into 0 10.517 * [backup-simplify]: Simplify (+ 0 0) into 0 10.517 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.518 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 10.518 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 10.518 * [taylor]: Taking taylor expansion of 0 in J 10.518 * [backup-simplify]: Simplify 0 into 0 10.518 * [taylor]: Taking taylor expansion of 1 in K 10.518 * [backup-simplify]: Simplify 1 into 1 10.518 * [backup-simplify]: Simplify 1 into 1 10.519 * [backup-simplify]: Simplify (* 1 1) into 1 10.520 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.521 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.521 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.522 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.523 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.523 * [backup-simplify]: Simplify (- 0) into 0 10.524 * [backup-simplify]: Simplify (+ 0 0) into 0 10.524 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.525 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.526 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.527 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.527 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.529 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.530 * [backup-simplify]: Simplify (- 0) into 0 10.530 * [backup-simplify]: Simplify (+ 0 0) into 0 10.531 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.531 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.533 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 10.533 * [backup-simplify]: Simplify (+ 1 0) into 1 10.534 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 10.535 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.536 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.536 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.537 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.538 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.538 * [backup-simplify]: Simplify (- 0) into 0 10.538 * [backup-simplify]: Simplify (+ 0 0) into 0 10.539 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 10.539 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 10.540 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 10.540 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 10.541 * [taylor]: Taking taylor expansion of 2 in J 10.541 * [backup-simplify]: Simplify 2 into 2 10.541 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 10.541 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.541 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.541 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.541 * [taylor]: Taking taylor expansion of -1/2 in J 10.541 * [backup-simplify]: Simplify -1/2 into -1/2 10.541 * [taylor]: Taking taylor expansion of K in J 10.541 * [backup-simplify]: Simplify K into K 10.541 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.541 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.541 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.541 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.541 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.542 * [backup-simplify]: Simplify (- 0) into 0 10.542 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.542 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.542 * [taylor]: Taking taylor expansion of J in J 10.542 * [backup-simplify]: Simplify 0 into 0 10.542 * [backup-simplify]: Simplify 1 into 1 10.542 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.542 * [backup-simplify]: Simplify (* 1 1) into 1 10.542 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.543 * [backup-simplify]: Simplify (+ 0) into 0 10.543 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.544 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.545 * [backup-simplify]: Simplify (- 0) into 0 10.546 * [backup-simplify]: Simplify (+ 0 0) into 0 10.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 10.548 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 10.548 * [taylor]: Taking taylor expansion of 0 in K 10.548 * [backup-simplify]: Simplify 0 into 0 10.548 * [backup-simplify]: Simplify 0 into 0 10.548 * [taylor]: Taking taylor expansion of 0 in K 10.548 * [backup-simplify]: Simplify 0 into 0 10.549 * [backup-simplify]: Simplify 0 into 0 10.549 * [taylor]: Taking taylor expansion of 0 in K 10.549 * [backup-simplify]: Simplify 0 into 0 10.549 * [backup-simplify]: Simplify 0 into 0 10.549 * [backup-simplify]: Simplify 0 into 0 10.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.552 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.553 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.553 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.555 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.555 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.556 * [backup-simplify]: Simplify (- 0) into 0 10.557 * [backup-simplify]: Simplify (+ 0 0) into 0 10.558 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.558 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 10.561 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.563 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.564 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.565 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.566 * [backup-simplify]: Simplify (- 0) into 0 10.566 * [backup-simplify]: Simplify (+ 0 0) into 0 10.567 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.567 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 10.569 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 10.570 * [backup-simplify]: Simplify (+ 0 0) into 0 10.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.571 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.574 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.574 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.575 * [backup-simplify]: Simplify (- 0) into 0 10.575 * [backup-simplify]: Simplify (+ 0 0) into 0 10.576 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 10.576 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 10.577 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 10.577 * [taylor]: Taking taylor expansion of 0 in J 10.577 * [backup-simplify]: Simplify 0 into 0 10.578 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.579 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.579 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.580 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.581 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.581 * [backup-simplify]: Simplify (- 0) into 0 10.581 * [backup-simplify]: Simplify (+ 0 0) into 0 10.582 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.585 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 10.585 * [taylor]: Taking taylor expansion of 0 in K 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [taylor]: Taking taylor expansion of 0 in K 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.586 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 10.586 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 10.586 * [backup-simplify]: Simplify (* U (/ 1 (* J (* (cos (/ K 2)) 2)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 10.586 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 10.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 10.586 * [taylor]: Taking taylor expansion of 1/2 in K 10.586 * [backup-simplify]: Simplify 1/2 into 1/2 10.586 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 10.586 * [taylor]: Taking taylor expansion of U in K 10.586 * [backup-simplify]: Simplify U into U 10.586 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.586 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.586 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.586 * [taylor]: Taking taylor expansion of 1/2 in K 10.586 * [backup-simplify]: Simplify 1/2 into 1/2 10.586 * [taylor]: Taking taylor expansion of K in K 10.586 * [backup-simplify]: Simplify 0 into 0 10.586 * [backup-simplify]: Simplify 1 into 1 10.587 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.587 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.587 * [taylor]: Taking taylor expansion of J in K 10.588 * [backup-simplify]: Simplify J into J 10.588 * [backup-simplify]: Simplify (* 1 J) into J 10.588 * [backup-simplify]: Simplify (/ U J) into (/ U J) 10.588 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 10.588 * [taylor]: Taking taylor expansion of 1/2 in J 10.588 * [backup-simplify]: Simplify 1/2 into 1/2 10.588 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 10.588 * [taylor]: Taking taylor expansion of U in J 10.588 * [backup-simplify]: Simplify U into U 10.588 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.588 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.588 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.588 * [taylor]: Taking taylor expansion of 1/2 in J 10.588 * [backup-simplify]: Simplify 1/2 into 1/2 10.588 * [taylor]: Taking taylor expansion of K in J 10.588 * [backup-simplify]: Simplify K into K 10.588 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.588 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.588 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.588 * [taylor]: Taking taylor expansion of J in J 10.588 * [backup-simplify]: Simplify 0 into 0 10.588 * [backup-simplify]: Simplify 1 into 1 10.588 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.588 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.589 * [backup-simplify]: Simplify (- 0) into 0 10.589 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.589 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.589 * [backup-simplify]: Simplify (+ 0) into 0 10.590 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.591 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.592 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.592 * [backup-simplify]: Simplify (- 0) into 0 10.593 * [backup-simplify]: Simplify (+ 0 0) into 0 10.593 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.593 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 10.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.593 * [taylor]: Taking taylor expansion of 1/2 in U 10.593 * [backup-simplify]: Simplify 1/2 into 1/2 10.593 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.593 * [taylor]: Taking taylor expansion of U in U 10.593 * [backup-simplify]: Simplify 0 into 0 10.593 * [backup-simplify]: Simplify 1 into 1 10.593 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.593 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.593 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.593 * [taylor]: Taking taylor expansion of 1/2 in U 10.593 * [backup-simplify]: Simplify 1/2 into 1/2 10.594 * [taylor]: Taking taylor expansion of K in U 10.594 * [backup-simplify]: Simplify K into K 10.594 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.594 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.594 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.594 * [taylor]: Taking taylor expansion of J in U 10.594 * [backup-simplify]: Simplify J into J 10.594 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.594 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.594 * [backup-simplify]: Simplify (- 0) into 0 10.594 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.595 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.595 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.595 * [taylor]: Taking taylor expansion of 1/2 in U 10.595 * [backup-simplify]: Simplify 1/2 into 1/2 10.595 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.595 * [taylor]: Taking taylor expansion of U in U 10.595 * [backup-simplify]: Simplify 0 into 0 10.595 * [backup-simplify]: Simplify 1 into 1 10.595 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.595 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.595 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.595 * [taylor]: Taking taylor expansion of 1/2 in U 10.595 * [backup-simplify]: Simplify 1/2 into 1/2 10.595 * [taylor]: Taking taylor expansion of K in U 10.595 * [backup-simplify]: Simplify K into K 10.595 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.595 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.595 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.595 * [taylor]: Taking taylor expansion of J in U 10.595 * [backup-simplify]: Simplify J into J 10.595 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.595 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.596 * [backup-simplify]: Simplify (- 0) into 0 10.596 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.596 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.596 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.596 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.596 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 10.596 * [taylor]: Taking taylor expansion of 1/2 in J 10.597 * [backup-simplify]: Simplify 1/2 into 1/2 10.597 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.597 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.597 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.597 * [taylor]: Taking taylor expansion of 1/2 in J 10.597 * [backup-simplify]: Simplify 1/2 into 1/2 10.597 * [taylor]: Taking taylor expansion of K in J 10.597 * [backup-simplify]: Simplify K into K 10.597 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.597 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.597 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.597 * [taylor]: Taking taylor expansion of J in J 10.597 * [backup-simplify]: Simplify 0 into 0 10.597 * [backup-simplify]: Simplify 1 into 1 10.597 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.597 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.598 * [backup-simplify]: Simplify (- 0) into 0 10.598 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.598 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.598 * [backup-simplify]: Simplify (+ 0) into 0 10.599 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.600 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.600 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.601 * [backup-simplify]: Simplify (- 0) into 0 10.601 * [backup-simplify]: Simplify (+ 0 0) into 0 10.602 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.602 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 10.602 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 10.602 * [taylor]: Taking taylor expansion of 1/2 in K 10.602 * [backup-simplify]: Simplify 1/2 into 1/2 10.602 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.602 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.602 * [taylor]: Taking taylor expansion of 1/2 in K 10.602 * [backup-simplify]: Simplify 1/2 into 1/2 10.602 * [taylor]: Taking taylor expansion of K in K 10.602 * [backup-simplify]: Simplify 0 into 0 10.602 * [backup-simplify]: Simplify 1 into 1 10.602 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.603 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.604 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.604 * [backup-simplify]: Simplify 1/2 into 1/2 10.604 * [backup-simplify]: Simplify (+ 0) into 0 10.605 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.606 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.607 * [backup-simplify]: Simplify (- 0) into 0 10.607 * [backup-simplify]: Simplify (+ 0 0) into 0 10.607 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.607 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 10.608 * [taylor]: Taking taylor expansion of 0 in J 10.608 * [backup-simplify]: Simplify 0 into 0 10.609 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.610 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.611 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.612 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.612 * [backup-simplify]: Simplify (- 0) into 0 10.613 * [backup-simplify]: Simplify (+ 0 0) into 0 10.613 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.613 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.614 * [taylor]: Taking taylor expansion of 0 in K 10.614 * [backup-simplify]: Simplify 0 into 0 10.614 * [backup-simplify]: Simplify 0 into 0 10.614 * [backup-simplify]: Simplify (+ 0) into 0 10.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.615 * [backup-simplify]: Simplify 0 into 0 10.616 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.617 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.619 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.619 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.619 * [backup-simplify]: Simplify (- 0) into 0 10.620 * [backup-simplify]: Simplify (+ 0 0) into 0 10.620 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 10.620 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 10.621 * [taylor]: Taking taylor expansion of 0 in J 10.621 * [backup-simplify]: Simplify 0 into 0 10.621 * [taylor]: Taking taylor expansion of 0 in K 10.621 * [backup-simplify]: Simplify 0 into 0 10.621 * [backup-simplify]: Simplify 0 into 0 10.621 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.622 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.624 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.624 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.624 * [backup-simplify]: Simplify (- 0) into 0 10.624 * [backup-simplify]: Simplify (+ 0 0) into 0 10.625 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.625 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 10.625 * [taylor]: Taking taylor expansion of 0 in K 10.625 * [backup-simplify]: Simplify 0 into 0 10.625 * [backup-simplify]: Simplify 0 into 0 10.625 * [backup-simplify]: Simplify 0 into 0 10.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 10.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 10.626 * [backup-simplify]: Simplify 1/16 into 1/16 10.627 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.628 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.630 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.630 * [backup-simplify]: Simplify (- 0) into 0 10.630 * [backup-simplify]: Simplify (+ 0 0) into 0 10.631 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 10.631 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 10.632 * [taylor]: Taking taylor expansion of 0 in J 10.632 * [backup-simplify]: Simplify 0 into 0 10.632 * [taylor]: Taking taylor expansion of 0 in K 10.632 * [backup-simplify]: Simplify 0 into 0 10.632 * [backup-simplify]: Simplify 0 into 0 10.632 * [taylor]: Taking taylor expansion of 0 in K 10.632 * [backup-simplify]: Simplify 0 into 0 10.632 * [backup-simplify]: Simplify 0 into 0 10.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.634 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 10.637 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.638 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.638 * [backup-simplify]: Simplify (- 0) into 0 10.638 * [backup-simplify]: Simplify (+ 0 0) into 0 10.639 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.639 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 10.639 * [taylor]: Taking taylor expansion of 0 in K 10.639 * [backup-simplify]: Simplify 0 into 0 10.639 * [backup-simplify]: Simplify 0 into 0 10.639 * [backup-simplify]: Simplify 0 into 0 10.639 * [backup-simplify]: Simplify 0 into 0 10.639 * [backup-simplify]: Simplify 0 into 0 10.640 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 10.640 * [backup-simplify]: Simplify (* (/ 1 U) (/ 1 (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 10.640 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 10.640 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 10.640 * [taylor]: Taking taylor expansion of 1/2 in K 10.640 * [backup-simplify]: Simplify 1/2 into 1/2 10.640 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 10.640 * [taylor]: Taking taylor expansion of J in K 10.640 * [backup-simplify]: Simplify J into J 10.640 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 10.640 * [taylor]: Taking taylor expansion of U in K 10.640 * [backup-simplify]: Simplify U into U 10.640 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.640 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.640 * [taylor]: Taking taylor expansion of 1/2 in K 10.640 * [backup-simplify]: Simplify 1/2 into 1/2 10.640 * [taylor]: Taking taylor expansion of K in K 10.640 * [backup-simplify]: Simplify 0 into 0 10.640 * [backup-simplify]: Simplify 1 into 1 10.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.640 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.640 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.640 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 10.640 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 10.640 * [taylor]: Taking taylor expansion of 1/2 in J 10.640 * [backup-simplify]: Simplify 1/2 into 1/2 10.640 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 10.640 * [taylor]: Taking taylor expansion of J in J 10.641 * [backup-simplify]: Simplify 0 into 0 10.641 * [backup-simplify]: Simplify 1 into 1 10.641 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 10.641 * [taylor]: Taking taylor expansion of U in J 10.641 * [backup-simplify]: Simplify U into U 10.641 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.641 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.641 * [taylor]: Taking taylor expansion of 1/2 in J 10.641 * [backup-simplify]: Simplify 1/2 into 1/2 10.641 * [taylor]: Taking taylor expansion of K in J 10.641 * [backup-simplify]: Simplify K into K 10.641 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.641 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.641 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.641 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.641 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.641 * [backup-simplify]: Simplify (- 0) into 0 10.641 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.641 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.641 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 10.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.641 * [taylor]: Taking taylor expansion of 1/2 in U 10.641 * [backup-simplify]: Simplify 1/2 into 1/2 10.641 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.641 * [taylor]: Taking taylor expansion of J in U 10.641 * [backup-simplify]: Simplify J into J 10.641 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.641 * [taylor]: Taking taylor expansion of U in U 10.641 * [backup-simplify]: Simplify 0 into 0 10.641 * [backup-simplify]: Simplify 1 into 1 10.641 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.641 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.642 * [taylor]: Taking taylor expansion of 1/2 in U 10.642 * [backup-simplify]: Simplify 1/2 into 1/2 10.642 * [taylor]: Taking taylor expansion of K in U 10.642 * [backup-simplify]: Simplify K into K 10.642 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.642 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.642 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.642 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.642 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.642 * [backup-simplify]: Simplify (- 0) into 0 10.642 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.642 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.642 * [backup-simplify]: Simplify (+ 0) into 0 10.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.644 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.644 * [backup-simplify]: Simplify (- 0) into 0 10.644 * [backup-simplify]: Simplify (+ 0 0) into 0 10.644 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.644 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.644 * [taylor]: Taking taylor expansion of 1/2 in U 10.644 * [backup-simplify]: Simplify 1/2 into 1/2 10.644 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.644 * [taylor]: Taking taylor expansion of J in U 10.644 * [backup-simplify]: Simplify J into J 10.644 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.644 * [taylor]: Taking taylor expansion of U in U 10.644 * [backup-simplify]: Simplify 0 into 0 10.644 * [backup-simplify]: Simplify 1 into 1 10.645 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.645 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.645 * [taylor]: Taking taylor expansion of 1/2 in U 10.645 * [backup-simplify]: Simplify 1/2 into 1/2 10.645 * [taylor]: Taking taylor expansion of K in U 10.645 * [backup-simplify]: Simplify K into K 10.645 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.645 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.645 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.645 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.645 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.645 * [backup-simplify]: Simplify (- 0) into 0 10.645 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.645 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.645 * [backup-simplify]: Simplify (+ 0) into 0 10.646 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.646 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.646 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.647 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.647 * [backup-simplify]: Simplify (- 0) into 0 10.647 * [backup-simplify]: Simplify (+ 0 0) into 0 10.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.647 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.648 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 10.648 * [taylor]: Taking taylor expansion of 1/2 in J 10.648 * [backup-simplify]: Simplify 1/2 into 1/2 10.648 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 10.648 * [taylor]: Taking taylor expansion of J in J 10.648 * [backup-simplify]: Simplify 0 into 0 10.648 * [backup-simplify]: Simplify 1 into 1 10.648 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.648 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.648 * [taylor]: Taking taylor expansion of 1/2 in J 10.648 * [backup-simplify]: Simplify 1/2 into 1/2 10.648 * [taylor]: Taking taylor expansion of K in J 10.648 * [backup-simplify]: Simplify K into K 10.648 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.648 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.648 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.648 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.648 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.648 * [backup-simplify]: Simplify (- 0) into 0 10.648 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.648 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 10.648 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 10.648 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 10.648 * [taylor]: Taking taylor expansion of 1/2 in K 10.648 * [backup-simplify]: Simplify 1/2 into 1/2 10.648 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.648 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.648 * [taylor]: Taking taylor expansion of 1/2 in K 10.648 * [backup-simplify]: Simplify 1/2 into 1/2 10.649 * [taylor]: Taking taylor expansion of K in K 10.649 * [backup-simplify]: Simplify 0 into 0 10.649 * [backup-simplify]: Simplify 1 into 1 10.649 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.649 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.649 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.649 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.650 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.650 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.650 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.651 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.651 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.651 * [backup-simplify]: Simplify (- 0) into 0 10.651 * [backup-simplify]: Simplify (+ 0 0) into 0 10.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.652 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.653 * [taylor]: Taking taylor expansion of 0 in J 10.653 * [backup-simplify]: Simplify 0 into 0 10.653 * [taylor]: Taking taylor expansion of 0 in K 10.653 * [backup-simplify]: Simplify 0 into 0 10.653 * [backup-simplify]: Simplify 0 into 0 10.653 * [backup-simplify]: Simplify (+ 0) into 0 10.653 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.654 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.654 * [backup-simplify]: Simplify (- 0) into 0 10.655 * [backup-simplify]: Simplify (+ 0 0) into 0 10.655 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 10.655 * [taylor]: Taking taylor expansion of 0 in K 10.655 * [backup-simplify]: Simplify 0 into 0 10.655 * [backup-simplify]: Simplify 0 into 0 10.655 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.655 * [backup-simplify]: Simplify 0 into 0 10.656 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.656 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.657 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.657 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.658 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.658 * [backup-simplify]: Simplify (- 0) into 0 10.658 * [backup-simplify]: Simplify (+ 0 0) into 0 10.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.659 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.660 * [taylor]: Taking taylor expansion of 0 in J 10.660 * [backup-simplify]: Simplify 0 into 0 10.661 * [taylor]: Taking taylor expansion of 0 in K 10.661 * [backup-simplify]: Simplify 0 into 0 10.661 * [backup-simplify]: Simplify 0 into 0 10.661 * [taylor]: Taking taylor expansion of 0 in K 10.661 * [backup-simplify]: Simplify 0 into 0 10.661 * [backup-simplify]: Simplify 0 into 0 10.662 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.662 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.663 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.663 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.664 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.664 * [backup-simplify]: Simplify (- 0) into 0 10.665 * [backup-simplify]: Simplify (+ 0 0) into 0 10.665 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 10.666 * [taylor]: Taking taylor expansion of 0 in K 10.666 * [backup-simplify]: Simplify 0 into 0 10.666 * [backup-simplify]: Simplify 0 into 0 10.666 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 10.667 * [backup-simplify]: Simplify (* (/ 1 (- U)) (/ 1 (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.667 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 10.667 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.667 * [taylor]: Taking taylor expansion of 1/2 in K 10.667 * [backup-simplify]: Simplify 1/2 into 1/2 10.667 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.667 * [taylor]: Taking taylor expansion of J in K 10.667 * [backup-simplify]: Simplify J into J 10.667 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.667 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.667 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.667 * [taylor]: Taking taylor expansion of -1/2 in K 10.667 * [backup-simplify]: Simplify -1/2 into -1/2 10.667 * [taylor]: Taking taylor expansion of K in K 10.667 * [backup-simplify]: Simplify 0 into 0 10.667 * [backup-simplify]: Simplify 1 into 1 10.668 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.668 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.668 * [taylor]: Taking taylor expansion of U in K 10.668 * [backup-simplify]: Simplify U into U 10.668 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.668 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.668 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.668 * [taylor]: Taking taylor expansion of 1/2 in J 10.668 * [backup-simplify]: Simplify 1/2 into 1/2 10.668 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.668 * [taylor]: Taking taylor expansion of J in J 10.668 * [backup-simplify]: Simplify 0 into 0 10.668 * [backup-simplify]: Simplify 1 into 1 10.668 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.668 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.668 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.668 * [taylor]: Taking taylor expansion of -1/2 in J 10.668 * [backup-simplify]: Simplify -1/2 into -1/2 10.668 * [taylor]: Taking taylor expansion of K in J 10.668 * [backup-simplify]: Simplify K into K 10.668 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.668 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.668 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.668 * [taylor]: Taking taylor expansion of U in J 10.668 * [backup-simplify]: Simplify U into U 10.668 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.668 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.669 * [backup-simplify]: Simplify (- 0) into 0 10.669 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.669 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.669 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.669 * [taylor]: Taking taylor expansion of 1/2 in U 10.669 * [backup-simplify]: Simplify 1/2 into 1/2 10.669 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.669 * [taylor]: Taking taylor expansion of J in U 10.669 * [backup-simplify]: Simplify J into J 10.669 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.669 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.669 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.669 * [taylor]: Taking taylor expansion of -1/2 in U 10.669 * [backup-simplify]: Simplify -1/2 into -1/2 10.669 * [taylor]: Taking taylor expansion of K in U 10.669 * [backup-simplify]: Simplify K into K 10.669 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.669 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.669 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.669 * [taylor]: Taking taylor expansion of U in U 10.669 * [backup-simplify]: Simplify 0 into 0 10.669 * [backup-simplify]: Simplify 1 into 1 10.669 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.669 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.670 * [backup-simplify]: Simplify (- 0) into 0 10.670 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.670 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.670 * [backup-simplify]: Simplify (+ 0) into 0 10.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.670 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.671 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.671 * [backup-simplify]: Simplify (- 0) into 0 10.672 * [backup-simplify]: Simplify (+ 0 0) into 0 10.672 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.672 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.672 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.672 * [taylor]: Taking taylor expansion of 1/2 in U 10.672 * [backup-simplify]: Simplify 1/2 into 1/2 10.672 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.672 * [taylor]: Taking taylor expansion of J in U 10.672 * [backup-simplify]: Simplify J into J 10.672 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.672 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.672 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.672 * [taylor]: Taking taylor expansion of -1/2 in U 10.672 * [backup-simplify]: Simplify -1/2 into -1/2 10.672 * [taylor]: Taking taylor expansion of K in U 10.672 * [backup-simplify]: Simplify K into K 10.672 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.672 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.672 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.672 * [taylor]: Taking taylor expansion of U in U 10.672 * [backup-simplify]: Simplify 0 into 0 10.672 * [backup-simplify]: Simplify 1 into 1 10.672 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.672 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.673 * [backup-simplify]: Simplify (- 0) into 0 10.673 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.673 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.673 * [backup-simplify]: Simplify (+ 0) into 0 10.673 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.673 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.674 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.674 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.674 * [backup-simplify]: Simplify (- 0) into 0 10.675 * [backup-simplify]: Simplify (+ 0 0) into 0 10.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.675 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.675 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 10.675 * [taylor]: Taking taylor expansion of 1/2 in J 10.675 * [backup-simplify]: Simplify 1/2 into 1/2 10.675 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 10.676 * [taylor]: Taking taylor expansion of J in J 10.676 * [backup-simplify]: Simplify 0 into 0 10.676 * [backup-simplify]: Simplify 1 into 1 10.676 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.676 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.676 * [taylor]: Taking taylor expansion of -1/2 in J 10.676 * [backup-simplify]: Simplify -1/2 into -1/2 10.676 * [taylor]: Taking taylor expansion of K in J 10.676 * [backup-simplify]: Simplify K into K 10.676 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.676 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.676 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.676 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.676 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.676 * [backup-simplify]: Simplify (- 0) into 0 10.677 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.677 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 10.677 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 10.677 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 10.677 * [taylor]: Taking taylor expansion of 1/2 in K 10.677 * [backup-simplify]: Simplify 1/2 into 1/2 10.677 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.677 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.677 * [taylor]: Taking taylor expansion of -1/2 in K 10.677 * [backup-simplify]: Simplify -1/2 into -1/2 10.677 * [taylor]: Taking taylor expansion of K in K 10.677 * [backup-simplify]: Simplify 0 into 0 10.677 * [backup-simplify]: Simplify 1 into 1 10.677 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.677 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.677 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 10.677 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 10.678 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.679 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.679 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.680 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.680 * [backup-simplify]: Simplify (- 0) into 0 10.680 * [backup-simplify]: Simplify (+ 0 0) into 0 10.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.681 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.681 * [taylor]: Taking taylor expansion of 0 in J 10.681 * [backup-simplify]: Simplify 0 into 0 10.681 * [taylor]: Taking taylor expansion of 0 in K 10.681 * [backup-simplify]: Simplify 0 into 0 10.681 * [backup-simplify]: Simplify 0 into 0 10.682 * [backup-simplify]: Simplify (+ 0) into 0 10.682 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.682 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.682 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.683 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.683 * [backup-simplify]: Simplify (- 0) into 0 10.683 * [backup-simplify]: Simplify (+ 0 0) into 0 10.683 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 10.684 * [taylor]: Taking taylor expansion of 0 in K 10.684 * [backup-simplify]: Simplify 0 into 0 10.684 * [backup-simplify]: Simplify 0 into 0 10.684 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.684 * [backup-simplify]: Simplify 0 into 0 10.684 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.685 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.685 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.686 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.686 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.687 * [backup-simplify]: Simplify (- 0) into 0 10.687 * [backup-simplify]: Simplify (+ 0 0) into 0 10.687 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.688 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.688 * [taylor]: Taking taylor expansion of 0 in J 10.688 * [backup-simplify]: Simplify 0 into 0 10.688 * [taylor]: Taking taylor expansion of 0 in K 10.688 * [backup-simplify]: Simplify 0 into 0 10.688 * [backup-simplify]: Simplify 0 into 0 10.688 * [taylor]: Taking taylor expansion of 0 in K 10.688 * [backup-simplify]: Simplify 0 into 0 10.688 * [backup-simplify]: Simplify 0 into 0 10.689 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.689 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.690 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.690 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.691 * [backup-simplify]: Simplify (- 0) into 0 10.691 * [backup-simplify]: Simplify (+ 0 0) into 0 10.691 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 10.692 * [taylor]: Taking taylor expansion of 0 in K 10.692 * [backup-simplify]: Simplify 0 into 0 10.692 * [backup-simplify]: Simplify 0 into 0 10.692 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 10.692 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 10.692 * [backup-simplify]: Simplify (/ 1 (* J (* (cos (/ K 2)) 2))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.692 * [approximate]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in (J K) around 0 10.692 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in K 10.692 * [taylor]: Taking taylor expansion of 1/2 in K 10.692 * [backup-simplify]: Simplify 1/2 into 1/2 10.692 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.692 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.692 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.692 * [taylor]: Taking taylor expansion of 1/2 in K 10.692 * [backup-simplify]: Simplify 1/2 into 1/2 10.692 * [taylor]: Taking taylor expansion of K in K 10.692 * [backup-simplify]: Simplify 0 into 0 10.692 * [backup-simplify]: Simplify 1 into 1 10.693 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.693 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.693 * [taylor]: Taking taylor expansion of J in K 10.693 * [backup-simplify]: Simplify J into J 10.693 * [backup-simplify]: Simplify (* 1 J) into J 10.693 * [backup-simplify]: Simplify (/ 1/2 J) into (/ 1/2 J) 10.693 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 10.693 * [taylor]: Taking taylor expansion of 1/2 in J 10.693 * [backup-simplify]: Simplify 1/2 into 1/2 10.693 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.693 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.693 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.693 * [taylor]: Taking taylor expansion of 1/2 in J 10.693 * [backup-simplify]: Simplify 1/2 into 1/2 10.693 * [taylor]: Taking taylor expansion of K in J 10.693 * [backup-simplify]: Simplify K into K 10.693 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.693 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.693 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.693 * [taylor]: Taking taylor expansion of J in J 10.693 * [backup-simplify]: Simplify 0 into 0 10.693 * [backup-simplify]: Simplify 1 into 1 10.693 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.694 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.694 * [backup-simplify]: Simplify (- 0) into 0 10.694 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.694 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.694 * [backup-simplify]: Simplify (+ 0) into 0 10.694 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.695 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.696 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.696 * [backup-simplify]: Simplify (- 0) into 0 10.696 * [backup-simplify]: Simplify (+ 0 0) into 0 10.696 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.696 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 10.696 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 10.696 * [taylor]: Taking taylor expansion of 1/2 in J 10.696 * [backup-simplify]: Simplify 1/2 into 1/2 10.696 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.697 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.697 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.697 * [taylor]: Taking taylor expansion of 1/2 in J 10.697 * [backup-simplify]: Simplify 1/2 into 1/2 10.697 * [taylor]: Taking taylor expansion of K in J 10.697 * [backup-simplify]: Simplify K into K 10.697 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.697 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.697 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.697 * [taylor]: Taking taylor expansion of J in J 10.697 * [backup-simplify]: Simplify 0 into 0 10.697 * [backup-simplify]: Simplify 1 into 1 10.697 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.697 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.697 * [backup-simplify]: Simplify (- 0) into 0 10.697 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.697 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.698 * [backup-simplify]: Simplify (+ 0) into 0 10.698 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.699 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.699 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.699 * [backup-simplify]: Simplify (- 0) into 0 10.700 * [backup-simplify]: Simplify (+ 0 0) into 0 10.700 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.700 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 10.700 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 10.700 * [taylor]: Taking taylor expansion of 1/2 in K 10.700 * [backup-simplify]: Simplify 1/2 into 1/2 10.700 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.700 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.700 * [taylor]: Taking taylor expansion of 1/2 in K 10.700 * [backup-simplify]: Simplify 1/2 into 1/2 10.700 * [taylor]: Taking taylor expansion of K in K 10.700 * [backup-simplify]: Simplify 0 into 0 10.700 * [backup-simplify]: Simplify 1 into 1 10.700 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.701 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.701 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.701 * [backup-simplify]: Simplify 1/2 into 1/2 10.702 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.702 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.703 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.704 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.704 * [backup-simplify]: Simplify (- 0) into 0 10.705 * [backup-simplify]: Simplify (+ 0 0) into 0 10.705 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.706 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.706 * [taylor]: Taking taylor expansion of 0 in K 10.706 * [backup-simplify]: Simplify 0 into 0 10.706 * [backup-simplify]: Simplify 0 into 0 10.706 * [backup-simplify]: Simplify (+ 0) into 0 10.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.707 * [backup-simplify]: Simplify 0 into 0 10.708 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.709 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.712 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.713 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.713 * [backup-simplify]: Simplify (- 0) into 0 10.713 * [backup-simplify]: Simplify (+ 0 0) into 0 10.714 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.714 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 10.715 * [taylor]: Taking taylor expansion of 0 in K 10.715 * [backup-simplify]: Simplify 0 into 0 10.715 * [backup-simplify]: Simplify 0 into 0 10.715 * [backup-simplify]: Simplify 0 into 0 10.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 10.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 10.717 * [backup-simplify]: Simplify 1/16 into 1/16 10.719 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.721 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 10.724 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.725 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.725 * [backup-simplify]: Simplify (- 0) into 0 10.725 * [backup-simplify]: Simplify (+ 0 0) into 0 10.726 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.727 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 10.727 * [taylor]: Taking taylor expansion of 0 in K 10.727 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify 0 into 0 10.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 10.730 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/16 (/ 0 1)))) into 0 10.731 * [backup-simplify]: Simplify 0 into 0 10.733 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.734 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))))) into 0 10.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.740 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0 10.740 * [backup-simplify]: Simplify (- 0) into 0 10.741 * [backup-simplify]: Simplify (+ 0 0) into 0 10.742 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.742 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 10.742 * [taylor]: Taking taylor expansion of 0 in K 10.742 * [backup-simplify]: Simplify 0 into 0 10.742 * [backup-simplify]: Simplify 0 into 0 10.742 * [backup-simplify]: Simplify 0 into 0 10.743 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (/ 1 J))) (* 1/2 (* 1 (/ 1 J)))) into (+ (* 1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J))) 10.743 * [backup-simplify]: Simplify (/ 1 (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.743 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in (J K) around 0 10.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 10.743 * [taylor]: Taking taylor expansion of 1/2 in K 10.743 * [backup-simplify]: Simplify 1/2 into 1/2 10.743 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 10.743 * [taylor]: Taking taylor expansion of J in K 10.743 * [backup-simplify]: Simplify J into J 10.743 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.743 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.743 * [taylor]: Taking taylor expansion of 1/2 in K 10.743 * [backup-simplify]: Simplify 1/2 into 1/2 10.743 * [taylor]: Taking taylor expansion of K in K 10.743 * [backup-simplify]: Simplify 0 into 0 10.743 * [backup-simplify]: Simplify 1 into 1 10.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.744 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.744 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 10.744 * [taylor]: Taking taylor expansion of 1/2 in J 10.744 * [backup-simplify]: Simplify 1/2 into 1/2 10.744 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 10.744 * [taylor]: Taking taylor expansion of J in J 10.744 * [backup-simplify]: Simplify 0 into 0 10.744 * [backup-simplify]: Simplify 1 into 1 10.744 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.744 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.744 * [taylor]: Taking taylor expansion of 1/2 in J 10.744 * [backup-simplify]: Simplify 1/2 into 1/2 10.744 * [taylor]: Taking taylor expansion of K in J 10.744 * [backup-simplify]: Simplify K into K 10.744 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.744 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.744 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.744 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.744 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.745 * [backup-simplify]: Simplify (- 0) into 0 10.745 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.745 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 10.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 10.745 * [taylor]: Taking taylor expansion of 1/2 in J 10.745 * [backup-simplify]: Simplify 1/2 into 1/2 10.745 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 10.745 * [taylor]: Taking taylor expansion of J in J 10.745 * [backup-simplify]: Simplify 0 into 0 10.745 * [backup-simplify]: Simplify 1 into 1 10.745 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.745 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.745 * [taylor]: Taking taylor expansion of 1/2 in J 10.745 * [backup-simplify]: Simplify 1/2 into 1/2 10.745 * [taylor]: Taking taylor expansion of K in J 10.745 * [backup-simplify]: Simplify K into K 10.745 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.746 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.746 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.746 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.746 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.746 * [backup-simplify]: Simplify (- 0) into 0 10.746 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.746 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 10.747 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 10.747 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 10.747 * [taylor]: Taking taylor expansion of 1/2 in K 10.747 * [backup-simplify]: Simplify 1/2 into 1/2 10.747 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.747 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.747 * [taylor]: Taking taylor expansion of 1/2 in K 10.747 * [backup-simplify]: Simplify 1/2 into 1/2 10.747 * [taylor]: Taking taylor expansion of K in K 10.747 * [backup-simplify]: Simplify 0 into 0 10.747 * [backup-simplify]: Simplify 1 into 1 10.747 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.747 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.747 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.748 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.748 * [backup-simplify]: Simplify (+ 0) into 0 10.748 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.749 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.749 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.750 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.752 * [backup-simplify]: Simplify (- 0) into 0 10.753 * [backup-simplify]: Simplify (+ 0 0) into 0 10.753 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 10.754 * [taylor]: Taking taylor expansion of 0 in K 10.754 * [backup-simplify]: Simplify 0 into 0 10.754 * [backup-simplify]: Simplify 0 into 0 10.754 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.754 * [backup-simplify]: Simplify 0 into 0 10.755 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.756 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.756 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.757 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.757 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.758 * [backup-simplify]: Simplify (- 0) into 0 10.758 * [backup-simplify]: Simplify (+ 0 0) into 0 10.758 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 10.759 * [taylor]: Taking taylor expansion of 0 in K 10.759 * [backup-simplify]: Simplify 0 into 0 10.759 * [backup-simplify]: Simplify 0 into 0 10.759 * [backup-simplify]: Simplify 0 into 0 10.759 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.759 * [backup-simplify]: Simplify 0 into 0 10.760 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.761 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.761 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.763 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.764 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.764 * [backup-simplify]: Simplify (- 0) into 0 10.764 * [backup-simplify]: Simplify (+ 0 0) into 0 10.765 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K))))))) into 0 10.766 * [taylor]: Taking taylor expansion of 0 in K 10.766 * [backup-simplify]: Simplify 0 into 0 10.766 * [backup-simplify]: Simplify 0 into 0 10.766 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.767 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))) into (* -1/2 (/ J (cos (/ -1/2 K)))) 10.767 * [approximate]: Taking taylor expansion of (* -1/2 (/ J (cos (/ -1/2 K)))) in (J K) around 0 10.767 * [taylor]: Taking taylor expansion of (* -1/2 (/ J (cos (/ -1/2 K)))) in K 10.767 * [taylor]: Taking taylor expansion of -1/2 in K 10.767 * [backup-simplify]: Simplify -1/2 into -1/2 10.767 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 10.767 * [taylor]: Taking taylor expansion of J in K 10.767 * [backup-simplify]: Simplify J into J 10.767 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.767 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.767 * [taylor]: Taking taylor expansion of -1/2 in K 10.767 * [backup-simplify]: Simplify -1/2 into -1/2 10.767 * [taylor]: Taking taylor expansion of K in K 10.767 * [backup-simplify]: Simplify 0 into 0 10.767 * [backup-simplify]: Simplify 1 into 1 10.768 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.768 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.768 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.768 * [taylor]: Taking taylor expansion of (* -1/2 (/ J (cos (/ -1/2 K)))) in J 10.768 * [taylor]: Taking taylor expansion of -1/2 in J 10.768 * [backup-simplify]: Simplify -1/2 into -1/2 10.768 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 10.768 * [taylor]: Taking taylor expansion of J in J 10.768 * [backup-simplify]: Simplify 0 into 0 10.768 * [backup-simplify]: Simplify 1 into 1 10.768 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.768 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.768 * [taylor]: Taking taylor expansion of -1/2 in J 10.768 * [backup-simplify]: Simplify -1/2 into -1/2 10.768 * [taylor]: Taking taylor expansion of K in J 10.768 * [backup-simplify]: Simplify K into K 10.768 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.768 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.768 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.768 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.768 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.769 * [backup-simplify]: Simplify (- 0) into 0 10.769 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.769 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 10.769 * [taylor]: Taking taylor expansion of (* -1/2 (/ J (cos (/ -1/2 K)))) in J 10.769 * [taylor]: Taking taylor expansion of -1/2 in J 10.769 * [backup-simplify]: Simplify -1/2 into -1/2 10.769 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 10.769 * [taylor]: Taking taylor expansion of J in J 10.769 * [backup-simplify]: Simplify 0 into 0 10.769 * [backup-simplify]: Simplify 1 into 1 10.769 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.769 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.769 * [taylor]: Taking taylor expansion of -1/2 in J 10.769 * [backup-simplify]: Simplify -1/2 into -1/2 10.769 * [taylor]: Taking taylor expansion of K in J 10.769 * [backup-simplify]: Simplify K into K 10.769 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.769 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.770 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.770 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.770 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.770 * [backup-simplify]: Simplify (- 0) into 0 10.770 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.770 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 10.770 * [backup-simplify]: Simplify (* -1/2 (/ 1 (cos (/ -1/2 K)))) into (/ -1/2 (cos (/ -1/2 K))) 10.770 * [taylor]: Taking taylor expansion of (/ -1/2 (cos (/ -1/2 K))) in K 10.771 * [taylor]: Taking taylor expansion of -1/2 in K 10.771 * [backup-simplify]: Simplify -1/2 into -1/2 10.771 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.771 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.771 * [taylor]: Taking taylor expansion of -1/2 in K 10.771 * [backup-simplify]: Simplify -1/2 into -1/2 10.771 * [taylor]: Taking taylor expansion of K in K 10.771 * [backup-simplify]: Simplify 0 into 0 10.771 * [backup-simplify]: Simplify 1 into 1 10.771 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.771 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.771 * [backup-simplify]: Simplify (/ -1/2 (cos (/ -1/2 K))) into (/ -1/2 (cos (/ -1/2 K))) 10.771 * [backup-simplify]: Simplify (/ -1/2 (cos (/ -1/2 K))) into (/ -1/2 (cos (/ -1/2 K))) 10.772 * [backup-simplify]: Simplify (+ 0) into 0 10.772 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.773 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.773 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.774 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.774 * [backup-simplify]: Simplify (- 0) into 0 10.774 * [backup-simplify]: Simplify (+ 0 0) into 0 10.775 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.775 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 10.775 * [taylor]: Taking taylor expansion of 0 in K 10.775 * [backup-simplify]: Simplify 0 into 0 10.775 * [backup-simplify]: Simplify 0 into 0 10.776 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ -1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.776 * [backup-simplify]: Simplify 0 into 0 10.776 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.777 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.777 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.778 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.779 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.779 * [backup-simplify]: Simplify (- 0) into 0 10.779 * [backup-simplify]: Simplify (+ 0 0) into 0 10.780 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.781 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 10.781 * [taylor]: Taking taylor expansion of 0 in K 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ -1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.781 * [backup-simplify]: Simplify 0 into 0 10.782 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.783 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.783 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.784 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.785 * [backup-simplify]: Simplify (- 0) into 0 10.786 * [backup-simplify]: Simplify (+ 0 0) into 0 10.786 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.788 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K))))))) into 0 10.788 * [taylor]: Taking taylor expansion of 0 in K 10.788 * [backup-simplify]: Simplify 0 into 0 10.788 * [backup-simplify]: Simplify 0 into 0 10.788 * [backup-simplify]: Simplify (* (/ -1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (- J)))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.788 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2) 10.788 * [backup-simplify]: Simplify (* J (* (cos (/ K 2)) 2)) into (* 2 (* (cos (* 1/2 K)) J)) 10.788 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 10.789 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 10.789 * [taylor]: Taking taylor expansion of 2 in K 10.789 * [backup-simplify]: Simplify 2 into 2 10.789 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.789 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.789 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.789 * [taylor]: Taking taylor expansion of 1/2 in K 10.789 * [backup-simplify]: Simplify 1/2 into 1/2 10.789 * [taylor]: Taking taylor expansion of K in K 10.789 * [backup-simplify]: Simplify 0 into 0 10.789 * [backup-simplify]: Simplify 1 into 1 10.789 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.790 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.790 * [taylor]: Taking taylor expansion of J in K 10.790 * [backup-simplify]: Simplify J into J 10.790 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 10.790 * [taylor]: Taking taylor expansion of 2 in J 10.790 * [backup-simplify]: Simplify 2 into 2 10.790 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.790 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.790 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.790 * [taylor]: Taking taylor expansion of 1/2 in J 10.790 * [backup-simplify]: Simplify 1/2 into 1/2 10.790 * [taylor]: Taking taylor expansion of K in J 10.790 * [backup-simplify]: Simplify K into K 10.790 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.790 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.790 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.790 * [taylor]: Taking taylor expansion of J in J 10.790 * [backup-simplify]: Simplify 0 into 0 10.791 * [backup-simplify]: Simplify 1 into 1 10.791 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 10.791 * [taylor]: Taking taylor expansion of 2 in J 10.791 * [backup-simplify]: Simplify 2 into 2 10.791 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.791 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.791 * [taylor]: Taking taylor expansion of 1/2 in J 10.791 * [backup-simplify]: Simplify 1/2 into 1/2 10.791 * [taylor]: Taking taylor expansion of K in J 10.791 * [backup-simplify]: Simplify K into K 10.791 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.791 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.791 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.791 * [taylor]: Taking taylor expansion of J in J 10.791 * [backup-simplify]: Simplify 0 into 0 10.791 * [backup-simplify]: Simplify 1 into 1 10.791 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.791 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.792 * [backup-simplify]: Simplify (- 0) into 0 10.792 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.792 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.792 * [backup-simplify]: Simplify (* 2 0) into 0 10.792 * [taylor]: Taking taylor expansion of 0 in K 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [backup-simplify]: Simplify 0 into 0 10.793 * [backup-simplify]: Simplify (+ 0) into 0 10.793 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.795 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.795 * [backup-simplify]: Simplify (- 0) into 0 10.795 * [backup-simplify]: Simplify (+ 0 0) into 0 10.796 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.796 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 10.796 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 10.796 * [taylor]: Taking taylor expansion of 2 in K 10.796 * [backup-simplify]: Simplify 2 into 2 10.796 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.796 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.796 * [taylor]: Taking taylor expansion of 1/2 in K 10.796 * [backup-simplify]: Simplify 1/2 into 1/2 10.796 * [taylor]: Taking taylor expansion of K in K 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [backup-simplify]: Simplify 1 into 1 10.796 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.797 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.797 * [backup-simplify]: Simplify (* 2 1) into 2 10.797 * [backup-simplify]: Simplify 2 into 2 10.797 * [backup-simplify]: Simplify 0 into 0 10.798 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.798 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.799 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.799 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.800 * [backup-simplify]: Simplify (- 0) into 0 10.800 * [backup-simplify]: Simplify (+ 0 0) into 0 10.800 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 10.801 * [taylor]: Taking taylor expansion of 0 in K 10.801 * [backup-simplify]: Simplify 0 into 0 10.801 * [backup-simplify]: Simplify 0 into 0 10.801 * [backup-simplify]: Simplify (+ 0) into 0 10.802 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [backup-simplify]: Simplify 0 into 0 10.802 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.803 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.805 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.805 * [backup-simplify]: Simplify (- 0) into 0 10.805 * [backup-simplify]: Simplify (+ 0 0) into 0 10.806 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.806 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 10.806 * [taylor]: Taking taylor expansion of 0 in K 10.806 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 10.807 * [backup-simplify]: Simplify (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)) into (* 2 (/ (cos (/ 1/2 K)) J)) 10.807 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 10.807 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 10.807 * [taylor]: Taking taylor expansion of 2 in K 10.807 * [backup-simplify]: Simplify 2 into 2 10.807 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 10.807 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.807 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.807 * [taylor]: Taking taylor expansion of 1/2 in K 10.807 * [backup-simplify]: Simplify 1/2 into 1/2 10.807 * [taylor]: Taking taylor expansion of K in K 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify 1 into 1 10.807 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.807 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.807 * [taylor]: Taking taylor expansion of J in K 10.807 * [backup-simplify]: Simplify J into J 10.807 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 10.807 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 10.807 * [taylor]: Taking taylor expansion of 2 in J 10.807 * [backup-simplify]: Simplify 2 into 2 10.807 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.808 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.808 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.808 * [taylor]: Taking taylor expansion of 1/2 in J 10.808 * [backup-simplify]: Simplify 1/2 into 1/2 10.808 * [taylor]: Taking taylor expansion of K in J 10.808 * [backup-simplify]: Simplify K into K 10.808 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.808 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.808 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.808 * [taylor]: Taking taylor expansion of J in J 10.808 * [backup-simplify]: Simplify 0 into 0 10.808 * [backup-simplify]: Simplify 1 into 1 10.808 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.808 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.808 * [backup-simplify]: Simplify (- 0) into 0 10.808 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.808 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.808 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 10.808 * [taylor]: Taking taylor expansion of 2 in J 10.808 * [backup-simplify]: Simplify 2 into 2 10.808 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.808 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.808 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.808 * [taylor]: Taking taylor expansion of 1/2 in J 10.808 * [backup-simplify]: Simplify 1/2 into 1/2 10.808 * [taylor]: Taking taylor expansion of K in J 10.808 * [backup-simplify]: Simplify K into K 10.808 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.808 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.808 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.809 * [taylor]: Taking taylor expansion of J in J 10.809 * [backup-simplify]: Simplify 0 into 0 10.809 * [backup-simplify]: Simplify 1 into 1 10.809 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.809 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.809 * [backup-simplify]: Simplify (- 0) into 0 10.809 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.809 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.809 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 10.809 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 10.809 * [taylor]: Taking taylor expansion of 2 in K 10.809 * [backup-simplify]: Simplify 2 into 2 10.809 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.809 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.809 * [taylor]: Taking taylor expansion of 1/2 in K 10.809 * [backup-simplify]: Simplify 1/2 into 1/2 10.809 * [taylor]: Taking taylor expansion of K in K 10.809 * [backup-simplify]: Simplify 0 into 0 10.809 * [backup-simplify]: Simplify 1 into 1 10.810 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.810 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.810 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 10.810 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 10.810 * [backup-simplify]: Simplify (+ 0) into 0 10.810 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.810 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.811 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.811 * [backup-simplify]: Simplify (- 0) into 0 10.812 * [backup-simplify]: Simplify (+ 0 0) into 0 10.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 10.813 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 10.813 * [taylor]: Taking taylor expansion of 0 in K 10.813 * [backup-simplify]: Simplify 0 into 0 10.813 * [backup-simplify]: Simplify 0 into 0 10.813 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 10.813 * [backup-simplify]: Simplify 0 into 0 10.813 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.814 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.814 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.814 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.815 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.815 * [backup-simplify]: Simplify (- 0) into 0 10.815 * [backup-simplify]: Simplify (+ 0 0) into 0 10.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.817 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.817 * [taylor]: Taking taylor expansion of 0 in K 10.817 * [backup-simplify]: Simplify 0 into 0 10.817 * [backup-simplify]: Simplify 0 into 0 10.817 * [backup-simplify]: Simplify 0 into 0 10.817 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.817 * [backup-simplify]: Simplify 0 into 0 10.818 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.818 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.819 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.820 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.820 * [backup-simplify]: Simplify (- 0) into 0 10.820 * [backup-simplify]: Simplify (+ 0 0) into 0 10.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.822 * [taylor]: Taking taylor expansion of 0 in K 10.822 * [backup-simplify]: Simplify 0 into 0 10.822 * [backup-simplify]: Simplify 0 into 0 10.823 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 10.823 * [backup-simplify]: Simplify (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)) into (* -2 (/ (cos (/ -1/2 K)) J)) 10.823 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 10.823 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 10.823 * [taylor]: Taking taylor expansion of -2 in K 10.823 * [backup-simplify]: Simplify -2 into -2 10.823 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 10.823 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.823 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.823 * [taylor]: Taking taylor expansion of -1/2 in K 10.823 * [backup-simplify]: Simplify -1/2 into -1/2 10.823 * [taylor]: Taking taylor expansion of K in K 10.823 * [backup-simplify]: Simplify 0 into 0 10.823 * [backup-simplify]: Simplify 1 into 1 10.823 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.823 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.823 * [taylor]: Taking taylor expansion of J in K 10.823 * [backup-simplify]: Simplify J into J 10.823 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 10.823 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 10.823 * [taylor]: Taking taylor expansion of -2 in J 10.823 * [backup-simplify]: Simplify -2 into -2 10.823 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 10.823 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.823 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.823 * [taylor]: Taking taylor expansion of -1/2 in J 10.823 * [backup-simplify]: Simplify -1/2 into -1/2 10.823 * [taylor]: Taking taylor expansion of K in J 10.823 * [backup-simplify]: Simplify K into K 10.824 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.824 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.824 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.824 * [taylor]: Taking taylor expansion of J in J 10.824 * [backup-simplify]: Simplify 0 into 0 10.824 * [backup-simplify]: Simplify 1 into 1 10.824 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.824 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.824 * [backup-simplify]: Simplify (- 0) into 0 10.824 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.824 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.824 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 10.824 * [taylor]: Taking taylor expansion of -2 in J 10.824 * [backup-simplify]: Simplify -2 into -2 10.824 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 10.824 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.824 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.824 * [taylor]: Taking taylor expansion of -1/2 in J 10.824 * [backup-simplify]: Simplify -1/2 into -1/2 10.824 * [taylor]: Taking taylor expansion of K in J 10.824 * [backup-simplify]: Simplify K into K 10.824 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.824 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.824 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.824 * [taylor]: Taking taylor expansion of J in J 10.824 * [backup-simplify]: Simplify 0 into 0 10.824 * [backup-simplify]: Simplify 1 into 1 10.824 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.825 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.825 * [backup-simplify]: Simplify (- 0) into 0 10.825 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.825 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.825 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 10.825 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 10.825 * [taylor]: Taking taylor expansion of -2 in K 10.825 * [backup-simplify]: Simplify -2 into -2 10.825 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.825 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.825 * [taylor]: Taking taylor expansion of -1/2 in K 10.825 * [backup-simplify]: Simplify -1/2 into -1/2 10.825 * [taylor]: Taking taylor expansion of K in K 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 1 into 1 10.825 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.825 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.826 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 10.826 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 10.826 * [backup-simplify]: Simplify (+ 0) into 0 10.826 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.826 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.827 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.827 * [backup-simplify]: Simplify (- 0) into 0 10.827 * [backup-simplify]: Simplify (+ 0 0) into 0 10.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 10.828 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 10.828 * [taylor]: Taking taylor expansion of 0 in K 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.830 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.830 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.830 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.831 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.831 * [backup-simplify]: Simplify (- 0) into 0 10.831 * [backup-simplify]: Simplify (+ 0 0) into 0 10.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.833 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.833 * [taylor]: Taking taylor expansion of 0 in K 10.833 * [backup-simplify]: Simplify 0 into 0 10.833 * [backup-simplify]: Simplify 0 into 0 10.833 * [backup-simplify]: Simplify 0 into 0 10.833 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.833 * [backup-simplify]: Simplify 0 into 0 10.834 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.834 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.834 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.835 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.836 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.836 * [backup-simplify]: Simplify (- 0) into 0 10.836 * [backup-simplify]: Simplify (+ 0 0) into 0 10.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.838 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 10.838 * [taylor]: Taking taylor expansion of 0 in K 10.838 * [backup-simplify]: Simplify 0 into 0 10.838 * [backup-simplify]: Simplify 0 into 0 10.838 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 10.838 * * * [progress]: simplifying candidates 10.838 * * * * [progress]: [ 1 / 132 ] simplifiying candidate # 10.839 * * * * [progress]: [ 2 / 132 ] simplifiying candidate # 10.839 * * * * [progress]: [ 3 / 132 ] simplifiying candidate # 10.839 * [simplify]: Simplifying (* (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) 10.839 * * [simplify]: iters left: 6 (16 enodes) 10.848 * * [simplify]: iters left: 5 (66 enodes) 10.872 * * [simplify]: iters left: 4 (122 enodes) 10.918 * * [simplify]: iters left: 3 (206 enodes) 10.959 * * [simplify]: iters left: 2 (302 enodes) 11.051 * * [simplify]: iters left: 1 (433 enodes) 11.219 * * [simplify]: Extracting #0: cost 1 inf + 0 11.219 * * [simplify]: Extracting #1: cost 16 inf + 0 11.219 * * [simplify]: Extracting #2: cost 30 inf + 44 11.220 * * [simplify]: Extracting #3: cost 81 inf + 87 11.221 * * [simplify]: Extracting #4: cost 97 inf + 1362 11.227 * * [simplify]: Extracting #5: cost 25 inf + 13581 11.232 * * [simplify]: Extracting #6: cost 0 inf + 18313 11.240 * [simplify]: Simplified to (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) 11.240 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) 1)) 11.240 * * * * [progress]: [ 4 / 132 ] simplifiying candidate # 11.241 * [simplify]: Simplifying (* (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) 11.241 * * [simplify]: iters left: 6 (16 enodes) 11.251 * * [simplify]: iters left: 5 (66 enodes) 11.275 * * [simplify]: iters left: 4 (122 enodes) 11.314 * * [simplify]: iters left: 3 (206 enodes) 11.373 * * [simplify]: iters left: 2 (302 enodes) 11.462 * * [simplify]: iters left: 1 (433 enodes) 11.638 * * [simplify]: Extracting #0: cost 1 inf + 0 11.638 * * [simplify]: Extracting #1: cost 16 inf + 0 11.638 * * [simplify]: Extracting #2: cost 30 inf + 44 11.638 * * [simplify]: Extracting #3: cost 81 inf + 87 11.639 * * [simplify]: Extracting #4: cost 97 inf + 1362 11.642 * * [simplify]: Extracting #5: cost 25 inf + 13581 11.647 * * [simplify]: Extracting #6: cost 0 inf + 18313 11.653 * [simplify]: Simplified to (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) 11.653 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) 1)) 11.653 * * * * [progress]: [ 5 / 132 ] simplifiying candidate # 11.654 * [simplify]: Simplifying (* (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) 11.654 * * [simplify]: iters left: 6 (16 enodes) 11.661 * * [simplify]: iters left: 5 (66 enodes) 11.684 * * [simplify]: iters left: 4 (122 enodes) 11.726 * * [simplify]: iters left: 3 (206 enodes) 11.772 * * [simplify]: iters left: 2 (302 enodes) 11.873 * * [simplify]: iters left: 1 (433 enodes) 12.097 * * [simplify]: Extracting #0: cost 1 inf + 0 12.097 * * [simplify]: Extracting #1: cost 16 inf + 0 12.097 * * [simplify]: Extracting #2: cost 30 inf + 44 12.097 * * [simplify]: Extracting #3: cost 81 inf + 87 12.098 * * [simplify]: Extracting #4: cost 97 inf + 1362 12.101 * * [simplify]: Extracting #5: cost 25 inf + 13581 12.106 * * [simplify]: Extracting #6: cost 0 inf + 18313 12.112 * [simplify]: Simplified to (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) 12.113 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) 1)) 12.113 * * * * [progress]: [ 6 / 132 ] simplifiying candidate # 12.113 * * * * [progress]: [ 7 / 132 ] simplifiying candidate # 12.113 * [simplify]: Simplifying (+ (log (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) 12.113 * * [simplify]: iters left: 6 (20 enodes) 12.125 * * [simplify]: iters left: 5 (78 enodes) 12.151 * * [simplify]: iters left: 4 (136 enodes) 12.174 * * [simplify]: iters left: 3 (227 enodes) 12.244 * * [simplify]: iters left: 2 (322 enodes) 12.368 * * [simplify]: iters left: 1 (453 enodes) 12.523 * * [simplify]: Extracting #0: cost 1 inf + 0 12.523 * * [simplify]: Extracting #1: cost 16 inf + 0 12.523 * * [simplify]: Extracting #2: cost 34 inf + 0 12.524 * * [simplify]: Extracting #3: cost 35 inf + 144 12.524 * * [simplify]: Extracting #4: cost 87 inf + 651 12.525 * * [simplify]: Extracting #5: cost 99 inf + 2477 12.530 * * [simplify]: Extracting #6: cost 17 inf + 19462 12.542 * * [simplify]: Extracting #7: cost 0 inf + 23848 12.554 * [simplify]: Simplified to (+ (log J) (+ (log (cos (/ K 2))) (+ (log -2) (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))))) 12.554 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log J) (+ (log (cos (/ K 2))) (+ (log -2) (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))))))) 12.554 * * * * [progress]: [ 8 / 132 ] simplifiying candidate # 12.554 * [simplify]: Simplifying (+ (log (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) 12.555 * * [simplify]: iters left: 6 (19 enodes) 12.565 * * [simplify]: iters left: 5 (76 enodes) 12.582 * * [simplify]: iters left: 4 (129 enodes) 12.609 * * [simplify]: iters left: 3 (215 enodes) 12.673 * * [simplify]: iters left: 2 (327 enodes) 12.788 * * [simplify]: iters left: 1 (460 enodes) 13.018 * * [simplify]: Extracting #0: cost 1 inf + 0 13.018 * * [simplify]: Extracting #1: cost 18 inf + 0 13.018 * * [simplify]: Extracting #2: cost 37 inf + 0 13.018 * * [simplify]: Extracting #3: cost 37 inf + 339 13.019 * * [simplify]: Extracting #4: cost 86 inf + 595 13.020 * * [simplify]: Extracting #5: cost 99 inf + 1813 13.023 * * [simplify]: Extracting #6: cost 20 inf + 16315 13.029 * * [simplify]: Extracting #7: cost 3 inf + 22153 13.035 * * [simplify]: Extracting #8: cost 0 inf + 23755 13.041 * [simplify]: Simplified to (+ (log (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J)))) (+ (log (cos (/ K 2))) (log (* J -2)))) 13.041 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J)))) (+ (log (cos (/ K 2))) (log (* J -2)))))) 13.041 * * * * [progress]: [ 9 / 132 ] simplifiying candidate # 13.042 * [simplify]: Simplifying (+ (log (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) (log (* (cos (/ K 2)) (* -2 J)))) 13.042 * * [simplify]: iters left: 6 (18 enodes) 13.047 * * [simplify]: iters left: 5 (73 enodes) 13.063 * * [simplify]: iters left: 4 (128 enodes) 13.090 * * [simplify]: iters left: 3 (214 enodes) 13.142 * * [simplify]: iters left: 2 (336 enodes) 13.258 * * [simplify]: iters left: 1 (473 enodes) 13.451 * * [simplify]: Extracting #0: cost 1 inf + 0 13.451 * * [simplify]: Extracting #1: cost 16 inf + 0 13.451 * * [simplify]: Extracting #2: cost 38 inf + 0 13.452 * * [simplify]: Extracting #3: cost 45 inf + 144 13.452 * * [simplify]: Extracting #4: cost 93 inf + 300 13.454 * * [simplify]: Extracting #5: cost 100 inf + 1975 13.461 * * [simplify]: Extracting #6: cost 24 inf + 15963 13.473 * * [simplify]: Extracting #7: cost 1 inf + 21809 13.485 * * [simplify]: Extracting #8: cost 0 inf + 22269 13.496 * [simplify]: Simplified to (+ (log (* (* (cos (/ K 2)) J) -2)) (log (hypot 1 (/ (/ U 2) (* (cos (/ K 2)) J))))) 13.497 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (* (cos (/ K 2)) J) -2)) (log (hypot 1 (/ (/ U 2) (* (cos (/ K 2)) J))))))) 13.497 * * * * [progress]: [ 10 / 132 ] simplifiying candidate # 13.497 * * * * [progress]: [ 11 / 132 ] simplifiying candidate # 13.497 * * * * [progress]: [ 12 / 132 ] simplifiying candidate # 13.497 * [simplify]: Simplifying (* (* (* (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2))))) (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) 13.498 * * [simplify]: iters left: 6 (24 enodes) 13.512 * * [simplify]: iters left: 5 (103 enodes) 13.554 * * [simplify]: iters left: 4 (254 enodes) 13.653 * * [simplify]: Extracting #0: cost 1 inf + 0 13.654 * * [simplify]: Extracting #1: cost 58 inf + 0 13.658 * * [simplify]: Extracting #2: cost 241 inf + 494 13.660 * * [simplify]: Extracting #3: cost 272 inf + 1850 13.664 * * [simplify]: Extracting #4: cost 196 inf + 22368 13.692 * * [simplify]: Extracting #5: cost 22 inf + 85958 13.719 * * [simplify]: Extracting #6: cost 0 inf + 95814 13.758 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) (* (cos (/ K 2)) (* -8 (* (* J J) J)))) 13.759 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) (* (cos (/ K 2)) (* -8 (* (* J J) J)))))) 13.759 * * * * [progress]: [ 13 / 132 ] simplifiying candidate # 13.759 * [simplify]: Simplifying (* (* (* (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2))))) (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) 13.759 * * [simplify]: iters left: 6 (22 enodes) 13.766 * * [simplify]: iters left: 5 (101 enodes) 13.791 * * [simplify]: iters left: 4 (254 enodes) 13.887 * * [simplify]: Extracting #0: cost 1 inf + 0 13.887 * * [simplify]: Extracting #1: cost 57 inf + 0 13.888 * * [simplify]: Extracting #2: cost 224 inf + 44 13.890 * * [simplify]: Extracting #3: cost 250 inf + 1775 13.899 * * [simplify]: Extracting #4: cost 174 inf + 25949 13.926 * * [simplify]: Extracting #5: cost 20 inf + 82348 13.957 * * [simplify]: Extracting #6: cost 0 inf + 90435 14.002 * * [simplify]: Extracting #7: cost 0 inf + 90315 14.025 * [simplify]: Simplified to (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))))) 14.025 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))))))) 14.026 * * * * [progress]: [ 14 / 132 ] simplifiying candidate # 14.026 * [simplify]: Simplifying (* (* (* (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2))))) (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) 14.026 * * [simplify]: iters left: 6 (20 enodes) 14.033 * * [simplify]: iters left: 5 (91 enodes) 14.075 * * [simplify]: iters left: 4 (253 enodes) 14.233 * * [simplify]: Extracting #0: cost 1 inf + 0 14.233 * * [simplify]: Extracting #1: cost 51 inf + 0 14.234 * * [simplify]: Extracting #2: cost 255 inf + 85 14.237 * * [simplify]: Extracting #3: cost 282 inf + 1575 14.243 * * [simplify]: Extracting #4: cost 237 inf + 14094 14.274 * * [simplify]: Extracting #5: cost 57 inf + 78946 14.323 * * [simplify]: Extracting #6: cost 0 inf + 101625 14.375 * * [simplify]: Extracting #7: cost 0 inf + 101545 14.424 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (* J -2) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (* J -2) (cos (/ K 2)))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (* J -2) (cos (/ K 2)))))) 14.424 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (* J -2) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (* J -2) (cos (/ K 2)))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (* J -2) (cos (/ K 2)))))))) 14.424 * * * * [progress]: [ 15 / 132 ] simplifiying candidate # 14.425 * * * * [progress]: [ 16 / 132 ] simplifiying candidate # 14.425 * * * * [progress]: [ 17 / 132 ] simplifiying candidate # 14.425 * * * * [progress]: [ 18 / 132 ] simplifiying candidate # 14.425 * * * * [progress]: [ 19 / 132 ] simplifiying candidate # 14.425 * [simplify]: Simplifying (* -2 J) 14.425 * * [simplify]: iters left: 2 (3 enodes) 14.428 * * [simplify]: iters left: 1 (10 enodes) 14.431 * * [simplify]: Extracting #0: cost 1 inf + 0 14.431 * * [simplify]: Extracting #1: cost 4 inf + 0 14.431 * * [simplify]: Extracting #2: cost 2 inf + 2 14.432 * * [simplify]: Extracting #3: cost 0 inf + 86 14.432 * [simplify]: Simplified to (* -2 J) 14.432 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J))) 14.432 * * * * [progress]: [ 20 / 132 ] simplifiying candidate # 14.432 * [simplify]: Simplifying (* (cbrt (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) (cbrt (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2))))))) 14.432 * * [simplify]: iters left: 6 (14 enodes) 14.440 * * [simplify]: iters left: 5 (53 enodes) 14.458 * * [simplify]: iters left: 4 (87 enodes) 14.484 * * [simplify]: iters left: 3 (142 enodes) 14.512 * * [simplify]: iters left: 2 (222 enodes) 14.615 * * [simplify]: iters left: 1 (353 enodes) 14.761 * * [simplify]: Extracting #0: cost 1 inf + 0 14.762 * * [simplify]: Extracting #1: cost 3 inf + 0 14.762 * * [simplify]: Extracting #2: cost 5 inf + 0 14.762 * * [simplify]: Extracting #3: cost 8 inf + 0 14.762 * * [simplify]: Extracting #4: cost 61 inf + 1 14.762 * * [simplify]: Extracting #5: cost 90 inf + 131 14.763 * * [simplify]: Extracting #6: cost 71 inf + 1546 14.764 * * [simplify]: Extracting #7: cost 53 inf + 3333 14.769 * * [simplify]: Extracting #8: cost 7 inf + 12440 14.773 * * [simplify]: Extracting #9: cost 0 inf + 13982 14.779 * [simplify]: Simplified to (* (cbrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (cbrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) 14.779 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (cbrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (cbrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* (cbrt (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))) 14.779 * * * * [progress]: [ 21 / 132 ] simplifiying candidate # 14.780 * [simplify]: Simplifying (sqrt (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) 14.780 * * [simplify]: iters left: 6 (13 enodes) 14.787 * * [simplify]: iters left: 5 (50 enodes) 14.800 * * [simplify]: iters left: 4 (84 enodes) 14.814 * * [simplify]: iters left: 3 (139 enodes) 14.837 * * [simplify]: iters left: 2 (220 enodes) 14.932 * * [simplify]: iters left: 1 (351 enodes) 15.085 * * [simplify]: Extracting #0: cost 1 inf + 0 15.085 * * [simplify]: Extracting #1: cost 3 inf + 0 15.085 * * [simplify]: Extracting #2: cost 6 inf + 0 15.085 * * [simplify]: Extracting #3: cost 59 inf + 1 15.086 * * [simplify]: Extracting #4: cost 86 inf + 173 15.087 * * [simplify]: Extracting #5: cost 64 inf + 1795 15.088 * * [simplify]: Extracting #6: cost 50 inf + 3191 15.090 * * [simplify]: Extracting #7: cost 14 inf + 10184 15.095 * * [simplify]: Extracting #8: cost 0 inf + 12878 15.099 * [simplify]: Simplified to (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) 15.099 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (sqrt (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))) 15.099 * * * * [progress]: [ 22 / 132 ] simplifiying candidate # 15.099 * * * * [progress]: [ 23 / 132 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (* U (/ 1 (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))))> 15.099 * * * * [progress]: [ 24 / 132 ] simplifiying candidate # 15.099 * * * * [progress]: [ 25 / 132 ] simplifiying candidate # 15.099 * * * * [progress]: [ 26 / 132 ] simplifiying candidate # 15.099 * * * * [progress]: [ 27 / 132 ] simplifiying candidate # 15.099 * [simplify]: Simplifying (* U (/ 1 (* J (* (cos (/ K 2)) 2)))) 15.099 * * [simplify]: iters left: 6 (11 enodes) 15.105 * * [simplify]: iters left: 5 (44 enodes) 15.115 * * [simplify]: iters left: 4 (78 enodes) 15.141 * * [simplify]: iters left: 3 (133 enodes) 15.178 * * [simplify]: iters left: 2 (215 enodes) 15.255 * * [simplify]: iters left: 1 (346 enodes) 15.406 * * [simplify]: Extracting #0: cost 1 inf + 0 15.406 * * [simplify]: Extracting #1: cost 56 inf + 0 15.407 * * [simplify]: Extracting #2: cost 83 inf + 89 15.407 * * [simplify]: Extracting #3: cost 67 inf + 1091 15.409 * * [simplify]: Extracting #4: cost 37 inf + 4944 15.412 * * [simplify]: Extracting #5: cost 7 inf + 10270 15.416 * * [simplify]: Extracting #6: cost 0 inf + 11595 15.419 * [simplify]: Simplified to (/ (/ (/ U J) (cos (/ K 2))) 2) 15.420 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (pow (/ (/ (/ U J) (cos (/ K 2))) 2) 1)) (* (cos (/ K 2)) (* -2 J)))) 15.420 * * * * [progress]: [ 28 / 132 ] simplifiying candidate # 15.420 * * * * [progress]: [ 29 / 132 ] simplifiying candidate # 15.420 * [simplify]: Simplifying (+ (log U) (- (+ (log J) (+ (log (cos (/ K 2))) (log 2))))) 15.420 * * [simplify]: iters left: 6 (14 enodes) 15.424 * * [simplify]: iters left: 5 (51 enodes) 15.436 * * [simplify]: iters left: 4 (81 enodes) 15.466 * * [simplify]: iters left: 3 (145 enodes) 15.523 * * [simplify]: iters left: 2 (249 enodes) 15.626 * * [simplify]: iters left: 1 (389 enodes) 15.807 * * [simplify]: Extracting #0: cost 1 inf + 0 15.807 * * [simplify]: Extracting #1: cost 37 inf + 0 15.808 * * [simplify]: Extracting #2: cost 78 inf + 0 15.808 * * [simplify]: Extracting #3: cost 71 inf + 509 15.810 * * [simplify]: Extracting #4: cost 49 inf + 5064 15.813 * * [simplify]: Extracting #5: cost 39 inf + 6885 15.816 * * [simplify]: Extracting #6: cost 34 inf + 8158 15.822 * * [simplify]: Extracting #7: cost 10 inf + 16588 15.831 * * [simplify]: Extracting #8: cost 0 inf + 20101 15.841 * [simplify]: Simplified to (- (- (log U) (log (cos (/ K 2)))) (+ (log J) (log 2))) 15.841 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (- (log U) (log (cos (/ K 2)))) (+ (log J) (log 2))))) (* (cos (/ K 2)) (* -2 J)))) 15.841 * * * * [progress]: [ 30 / 132 ] simplifiying candidate # 15.841 * [simplify]: Simplifying (+ (log U) (- (+ (log J) (log (* (cos (/ K 2)) 2))))) 15.842 * * [simplify]: iters left: 6 (13 enodes) 15.848 * * [simplify]: iters left: 5 (49 enodes) 15.864 * * [simplify]: iters left: 4 (75 enodes) 15.890 * * [simplify]: iters left: 3 (124 enodes) 15.933 * * [simplify]: iters left: 2 (219 enodes) 16.006 * * [simplify]: iters left: 1 (343 enodes) 16.163 * * [simplify]: Extracting #0: cost 1 inf + 0 16.163 * * [simplify]: Extracting #1: cost 45 inf + 0 16.164 * * [simplify]: Extracting #2: cost 87 inf + 0 16.165 * * [simplify]: Extracting #3: cost 76 inf + 1237 16.167 * * [simplify]: Extracting #4: cost 56 inf + 5881 16.169 * * [simplify]: Extracting #5: cost 42 inf + 8269 16.171 * * [simplify]: Extracting #6: cost 19 inf + 15295 16.176 * * [simplify]: Extracting #7: cost 0 inf + 22028 16.181 * [simplify]: Simplified to (- (- (log U) (log J)) (log (* (cos (/ K 2)) 2))) 16.181 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (- (log U) (log J)) (log (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 16.181 * * * * [progress]: [ 31 / 132 ] simplifiying candidate # 16.181 * [simplify]: Simplifying (+ (log U) (- (log (* J (* (cos (/ K 2)) 2))))) 16.181 * * [simplify]: iters left: 6 (12 enodes) 16.184 * * [simplify]: iters left: 5 (45 enodes) 16.192 * * [simplify]: iters left: 4 (69 enodes) 16.211 * * [simplify]: iters left: 3 (103 enodes) 16.238 * * [simplify]: iters left: 2 (168 enodes) 16.277 * * [simplify]: iters left: 1 (270 enodes) 16.356 * * [simplify]: Extracting #0: cost 1 inf + 0 16.357 * * [simplify]: Extracting #1: cost 60 inf + 0 16.357 * * [simplify]: Extracting #2: cost 103 inf + 0 16.358 * * [simplify]: Extracting #3: cost 105 inf + 145 16.359 * * [simplify]: Extracting #4: cost 83 inf + 4200 16.362 * * [simplify]: Extracting #5: cost 62 inf + 7662 16.366 * * [simplify]: Extracting #6: cost 36 inf + 14120 16.373 * * [simplify]: Extracting #7: cost 1 inf + 25380 16.378 * * [simplify]: Extracting #8: cost 0 inf + 25604 16.383 * [simplify]: Simplified to (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) 16.383 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (log U) (log (* (cos (/ K 2)) (* 2 J)))))) (* (cos (/ K 2)) (* -2 J)))) 16.383 * * * * [progress]: [ 32 / 132 ] simplifiying candidate # 16.384 * [simplify]: Simplifying (+ (log U) (- 0 (+ (log J) (+ (log (cos (/ K 2))) (log 2))))) 16.384 * * [simplify]: iters left: 6 (15 enodes) 16.388 * * [simplify]: iters left: 5 (56 enodes) 16.401 * * [simplify]: iters left: 4 (95 enodes) 16.442 * * [simplify]: iters left: 3 (187 enodes) 16.509 * * [simplify]: iters left: 2 (343 enodes) 16.668 * * [simplify]: Extracting #0: cost 1 inf + 0 16.669 * * [simplify]: Extracting #1: cost 42 inf + 0 16.671 * * [simplify]: Extracting #2: cost 78 inf + 1 16.672 * * [simplify]: Extracting #3: cost 71 inf + 590 16.673 * * [simplify]: Extracting #4: cost 53 inf + 4187 16.674 * * [simplify]: Extracting #5: cost 40 inf + 6664 16.679 * * [simplify]: Extracting #6: cost 6 inf + 18518 16.686 * * [simplify]: Extracting #7: cost 0 inf + 20738 16.697 * [simplify]: Simplified to (- (- (log U) (log J)) (+ (log 2) (log (cos (/ K 2))))) 16.698 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (- (log U) (log J)) (+ (log 2) (log (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 16.698 * * * * [progress]: [ 33 / 132 ] simplifiying candidate # 16.698 * [simplify]: Simplifying (+ (log U) (- 0 (+ (log J) (log (* (cos (/ K 2)) 2))))) 16.698 * * [simplify]: iters left: 6 (14 enodes) 16.706 * * [simplify]: iters left: 5 (54 enodes) 16.725 * * [simplify]: iters left: 4 (87 enodes) 16.756 * * [simplify]: iters left: 3 (164 enodes) 16.816 * * [simplify]: iters left: 2 (315 enodes) 17.014 * * [simplify]: Extracting #0: cost 1 inf + 0 17.015 * * [simplify]: Extracting #1: cost 47 inf + 0 17.015 * * [simplify]: Extracting #2: cost 87 inf + 1 17.016 * * [simplify]: Extracting #3: cost 73 inf + 1722 17.019 * * [simplify]: Extracting #4: cost 57 inf + 5844 17.022 * * [simplify]: Extracting #5: cost 48 inf + 7081 17.025 * * [simplify]: Extracting #6: cost 18 inf + 16037 17.031 * * [simplify]: Extracting #7: cost 0 inf + 22759 17.037 * [simplify]: Simplified to (- (- (log U) (log (* 2 (cos (/ K 2))))) (log J)) 17.037 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (- (log U) (log (* 2 (cos (/ K 2))))) (log J)))) (* (cos (/ K 2)) (* -2 J)))) 17.037 * * * * [progress]: [ 34 / 132 ] simplifiying candidate # 17.038 * [simplify]: Simplifying (+ (log U) (- 0 (log (* J (* (cos (/ K 2)) 2))))) 17.038 * * [simplify]: iters left: 6 (13 enodes) 17.042 * * [simplify]: iters left: 5 (51 enodes) 17.051 * * [simplify]: iters left: 4 (83 enodes) 17.074 * * [simplify]: iters left: 3 (142 enodes) 17.132 * * [simplify]: iters left: 2 (300 enodes) 17.286 * * [simplify]: Extracting #0: cost 1 inf + 0 17.287 * * [simplify]: Extracting #1: cost 44 inf + 0 17.287 * * [simplify]: Extracting #2: cost 90 inf + 1 17.288 * * [simplify]: Extracting #3: cost 83 inf + 1502 17.291 * * [simplify]: Extracting #4: cost 61 inf + 5677 17.293 * * [simplify]: Extracting #5: cost 50 inf + 6951 17.298 * * [simplify]: Extracting #6: cost 23 inf + 14124 17.306 * * [simplify]: Extracting #7: cost 4 inf + 19662 17.317 * * [simplify]: Extracting #8: cost 0 inf + 20733 17.327 * [simplify]: Simplified to (- (log U) (log (* (cos (/ K 2)) (* J 2)))) 17.327 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (log U) (log (* (cos (/ K 2)) (* J 2)))))) (* (cos (/ K 2)) (* -2 J)))) 17.327 * * * * [progress]: [ 35 / 132 ] simplifiying candidate # 17.328 * [simplify]: Simplifying (+ (log U) (- (log 1) (+ (log J) (+ (log (cos (/ K 2))) (log 2))))) 17.328 * * [simplify]: iters left: 6 (16 enodes) 17.337 * * [simplify]: iters left: 5 (61 enodes) 17.360 * * [simplify]: iters left: 4 (97 enodes) 17.399 * * [simplify]: iters left: 3 (199 enodes) 17.487 * * [simplify]: iters left: 2 (346 enodes) 17.662 * * [simplify]: Extracting #0: cost 1 inf + 0 17.662 * * [simplify]: Extracting #1: cost 67 inf + 0 17.663 * * [simplify]: Extracting #2: cost 112 inf + 1 17.663 * * [simplify]: Extracting #3: cost 108 inf + 257 17.664 * * [simplify]: Extracting #4: cost 78 inf + 6509 17.666 * * [simplify]: Extracting #5: cost 65 inf + 8876 17.670 * * [simplify]: Extracting #6: cost 17 inf + 26031 17.678 * * [simplify]: Extracting #7: cost 0 inf + 32926 17.692 * [simplify]: Simplified to (- (- (log U) (log (cos (/ K 2)))) (+ (log J) (log 2))) 17.692 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (- (log U) (log (cos (/ K 2)))) (+ (log J) (log 2))))) (* (cos (/ K 2)) (* -2 J)))) 17.692 * * * * [progress]: [ 36 / 132 ] simplifiying candidate # 17.693 * [simplify]: Simplifying (+ (log U) (- (log 1) (+ (log J) (log (* (cos (/ K 2)) 2))))) 17.693 * * [simplify]: iters left: 6 (15 enodes) 17.699 * * [simplify]: iters left: 5 (59 enodes) 17.708 * * [simplify]: iters left: 4 (89 enodes) 17.729 * * [simplify]: iters left: 3 (174 enodes) 17.778 * * [simplify]: iters left: 2 (305 enodes) 17.944 * * [simplify]: Extracting #0: cost 1 inf + 0 17.944 * * [simplify]: Extracting #1: cost 59 inf + 0 17.945 * * [simplify]: Extracting #2: cost 106 inf + 1 17.945 * * [simplify]: Extracting #3: cost 102 inf + 439 17.947 * * [simplify]: Extracting #4: cost 87 inf + 3267 17.949 * * [simplify]: Extracting #5: cost 65 inf + 7795 17.955 * * [simplify]: Extracting #6: cost 26 inf + 19276 17.966 * * [simplify]: Extracting #7: cost 1 inf + 28429 17.978 * * [simplify]: Extracting #8: cost 0 inf + 28712 17.990 * [simplify]: Simplified to (- (- (log U) (log (* (cos (/ K 2)) 2))) (log J)) 17.990 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (- (log U) (log (* (cos (/ K 2)) 2))) (log J)))) (* (cos (/ K 2)) (* -2 J)))) 17.990 * * * * [progress]: [ 37 / 132 ] simplifiying candidate # 17.991 * [simplify]: Simplifying (+ (log U) (- (log 1) (log (* J (* (cos (/ K 2)) 2))))) 17.991 * * [simplify]: iters left: 6 (14 enodes) 17.999 * * [simplify]: iters left: 5 (56 enodes) 18.016 * * [simplify]: iters left: 4 (83 enodes) 18.047 * * [simplify]: iters left: 3 (140 enodes) 18.083 * * [simplify]: iters left: 2 (261 enodes) 18.176 * * [simplify]: iters left: 1 (489 enodes) 18.434 * * [simplify]: Extracting #0: cost 1 inf + 0 18.434 * * [simplify]: Extracting #1: cost 34 inf + 0 18.435 * * [simplify]: Extracting #2: cost 78 inf + 1 18.435 * * [simplify]: Extracting #3: cost 78 inf + 217 18.436 * * [simplify]: Extracting #4: cost 52 inf + 4396 18.438 * * [simplify]: Extracting #5: cost 45 inf + 5321 18.440 * * [simplify]: Extracting #6: cost 24 inf + 10579 18.448 * * [simplify]: Extracting #7: cost 1 inf + 17309 18.459 * * [simplify]: Extracting #8: cost 0 inf + 17183 18.469 * [simplify]: Simplified to (- (log U) (log (* (* 2 J) (cos (/ K 2))))) 18.469 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (log U) (log (* (* 2 J) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 18.469 * * * * [progress]: [ 38 / 132 ] simplifiying candidate # 18.470 * [simplify]: Simplifying (+ (log U) (log (/ 1 (* J (* (cos (/ K 2)) 2))))) 18.470 * * [simplify]: iters left: 6 (13 enodes) 18.477 * * [simplify]: iters left: 5 (52 enodes) 18.497 * * [simplify]: iters left: 4 (84 enodes) 18.525 * * [simplify]: iters left: 3 (150 enodes) 18.564 * * [simplify]: iters left: 2 (231 enodes) 18.628 * * [simplify]: iters left: 1 (413 enodes) 18.827 * * [simplify]: Extracting #0: cost 1 inf + 0 18.827 * * [simplify]: Extracting #1: cost 51 inf + 0 18.827 * * [simplify]: Extracting #2: cost 109 inf + 1 18.828 * * [simplify]: Extracting #3: cost 108 inf + 1139 18.829 * * [simplify]: Extracting #4: cost 83 inf + 4989 18.831 * * [simplify]: Extracting #5: cost 62 inf + 8618 18.834 * * [simplify]: Extracting #6: cost 28 inf + 16650 18.842 * * [simplify]: Extracting #7: cost 0 inf + 25229 18.855 * * [simplify]: Extracting #8: cost 0 inf + 24945 18.871 * [simplify]: Simplified to (- (log U) (log (* (cos (/ K 2)) (* J 2)))) 18.871 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (log U) (log (* (cos (/ K 2)) (* J 2)))))) (* (cos (/ K 2)) (* -2 J)))) 18.871 * * * * [progress]: [ 39 / 132 ] simplifiying candidate # 18.871 * * * * [progress]: [ 40 / 132 ] simplifiying candidate # 18.871 * * * * [progress]: [ 41 / 132 ] simplifiying candidate # 18.871 * [simplify]: Simplifying (* (* (* U U) U) (/ (* (* 1 1) 1) (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))))) 18.872 * * [simplify]: iters left: 6 (21 enodes) 18.884 * * [simplify]: iters left: 5 (87 enodes) 18.905 * * [simplify]: iters left: 4 (237 enodes) 19.061 * * [simplify]: Extracting #0: cost 1 inf + 0 19.061 * * [simplify]: Extracting #1: cost 161 inf + 0 19.063 * * [simplify]: Extracting #2: cost 370 inf + 985 19.066 * * [simplify]: Extracting #3: cost 318 inf + 9101 19.079 * * [simplify]: Extracting #4: cost 166 inf + 47518 19.135 * * [simplify]: Extracting #5: cost 8 inf + 95853 19.185 * * [simplify]: Extracting #6: cost 0 inf + 98652 19.236 * [simplify]: Simplified to (/ (/ (* U (* U U)) (* J (* (* J J) 8))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) 19.236 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (/ (/ (* U (* U U)) (* J (* (* J J) 8))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))) 19.236 * * * * [progress]: [ 42 / 132 ] simplifiying candidate # 19.237 * [simplify]: Simplifying (* (* (* U U) U) (/ (* (* 1 1) 1) (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2))))) 19.237 * * [simplify]: iters left: 6 (19 enodes) 19.248 * * [simplify]: iters left: 5 (84 enodes) 19.284 * * [simplify]: iters left: 4 (235 enodes) 19.473 * * [simplify]: Extracting #0: cost 1 inf + 0 19.473 * * [simplify]: Extracting #1: cost 146 inf + 0 19.475 * * [simplify]: Extracting #2: cost 380 inf + 537 19.478 * * [simplify]: Extracting #3: cost 336 inf + 8842 19.487 * * [simplify]: Extracting #4: cost 183 inf + 48298 19.532 * * [simplify]: Extracting #5: cost 13 inf + 102288 19.591 * * [simplify]: Extracting #6: cost 0 inf + 105800 19.631 * * [simplify]: Extracting #7: cost 0 inf + 104799 19.674 * * [simplify]: Extracting #8: cost 0 inf + 104639 19.714 * [simplify]: Simplified to (/ (* U (* U U)) (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))))) 19.714 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (/ (* U (* U U)) (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))))))) (* (cos (/ K 2)) (* -2 J)))) 19.714 * * * * [progress]: [ 43 / 132 ] simplifiying candidate # 19.714 * [simplify]: Simplifying (* (* (* U U) U) (/ (* (* 1 1) 1) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2))))) 19.715 * * [simplify]: iters left: 6 (17 enodes) 19.720 * * [simplify]: iters left: 5 (74 enodes) 19.737 * * [simplify]: iters left: 4 (237 enodes) 19.968 * * [simplify]: Extracting #0: cost 1 inf + 0 19.968 * * [simplify]: Extracting #1: cost 136 inf + 0 19.971 * * [simplify]: Extracting #2: cost 367 inf + 127 19.974 * * [simplify]: Extracting #3: cost 364 inf + 2558 19.993 * * [simplify]: Extracting #4: cost 204 inf + 42205 20.044 * * [simplify]: Extracting #5: cost 12 inf + 99485 20.098 * * [simplify]: Extracting #6: cost 0 inf + 102428 20.135 * [simplify]: Simplified to (/ (* U (* U U)) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))) 20.135 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (/ (* U (* U U)) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))))) (* (cos (/ K 2)) (* -2 J)))) 20.135 * * * * [progress]: [ 44 / 132 ] simplifiying candidate # 20.135 * [simplify]: Simplifying (* (* (* U U) U) (* (* (/ 1 (* J (* (cos (/ K 2)) 2))) (/ 1 (* J (* (cos (/ K 2)) 2)))) (/ 1 (* J (* (cos (/ K 2)) 2))))) 20.135 * * [simplify]: iters left: 6 (15 enodes) 20.140 * * [simplify]: iters left: 5 (66 enodes) 20.155 * * [simplify]: iters left: 4 (158 enodes) 20.276 * * [simplify]: Extracting #0: cost 1 inf + 0 20.276 * * [simplify]: Extracting #1: cost 53 inf + 0 20.277 * * [simplify]: Extracting #2: cost 241 inf + 45 20.278 * * [simplify]: Extracting #3: cost 253 inf + 745 20.280 * * [simplify]: Extracting #4: cost 224 inf + 4054 20.285 * * [simplify]: Extracting #5: cost 141 inf + 27298 20.305 * * [simplify]: Extracting #6: cost 7 inf + 65650 20.340 * * [simplify]: Extracting #7: cost 0 inf + 65928 20.377 * * [simplify]: Extracting #8: cost 0 inf + 65568 20.411 * * [simplify]: Extracting #9: cost 0 inf + 65488 20.443 * [simplify]: Simplified to (* (* (/ (/ 1/2 (cos (/ K 2))) J) U) (* (* (/ (/ 1/2 (cos (/ K 2))) J) U) (* (/ (/ 1/2 (cos (/ K 2))) J) U))) 20.443 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (* (* (/ (/ 1/2 (cos (/ K 2))) J) U) (* (* (/ (/ 1/2 (cos (/ K 2))) J) U) (* (/ (/ 1/2 (cos (/ K 2))) J) U))))) (* (cos (/ K 2)) (* -2 J)))) 20.444 * * * * [progress]: [ 45 / 132 ] simplifiying candidate # 20.444 * * * * [progress]: [ 46 / 132 ] simplifiying candidate # 20.444 * * * * [progress]: [ 47 / 132 ] simplifiying candidate # 20.444 * * * * [progress]: [ 48 / 132 ] simplifiying candidate # 20.444 * * * * [progress]: [ 49 / 132 ] simplifiying candidate # 20.444 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 20.445 * * [simplify]: iters left: 6 (7 enodes) 20.448 * * [simplify]: iters left: 5 (25 enodes) 20.456 * * [simplify]: iters left: 4 (33 enodes) 20.466 * * [simplify]: iters left: 3 (39 enodes) 20.477 * * [simplify]: Extracting #0: cost 1 inf + 0 20.477 * * [simplify]: Extracting #1: cost 8 inf + 0 20.477 * * [simplify]: Extracting #2: cost 11 inf + 2 20.477 * * [simplify]: Extracting #3: cost 12 inf + 44 20.477 * * [simplify]: Extracting #4: cost 8 inf + 171 20.477 * * [simplify]: Extracting #5: cost 3 inf + 843 20.478 * * [simplify]: Extracting #6: cost 0 inf + 1311 20.479 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 20.479 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* -2 J)))) 20.479 * * * * [progress]: [ 50 / 132 ] simplifiying candidate # 20.479 * [simplify]: Simplifying (* (sqrt U) (sqrt (/ 1 (* J (* (cos (/ K 2)) 2))))) 20.479 * * [simplify]: iters left: 6 (13 enodes) 20.486 * * [simplify]: iters left: 5 (48 enodes) 20.494 * * [simplify]: iters left: 4 (68 enodes) 20.505 * * [simplify]: iters left: 3 (86 enodes) 20.521 * * [simplify]: iters left: 2 (91 enodes) 20.544 * * [simplify]: Extracting #0: cost 1 inf + 0 20.544 * * [simplify]: Extracting #1: cost 4 inf + 0 20.544 * * [simplify]: Extracting #2: cost 8 inf + 0 20.544 * * [simplify]: Extracting #3: cost 18 inf + 1 20.544 * * [simplify]: Extracting #4: cost 26 inf + 45 20.544 * * [simplify]: Extracting #5: cost 25 inf + 255 20.545 * * [simplify]: Extracting #6: cost 22 inf + 340 20.545 * * [simplify]: Extracting #7: cost 9 inf + 2076 20.547 * * [simplify]: Extracting #8: cost 1 inf + 3706 20.548 * * [simplify]: Extracting #9: cost 0 inf + 3930 20.550 * [simplify]: Simplified to (* (sqrt (/ (/ 1/2 (cos (/ K 2))) J)) (sqrt U)) 20.550 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (* (sqrt (/ (/ 1/2 (cos (/ K 2))) J)) (sqrt U)) (* (sqrt U) (sqrt (/ 1 (* J (* (cos (/ K 2)) 2))))))) (* (cos (/ K 2)) (* -2 J)))) 20.550 * [simplify]: Simplifying (* (sqrt U) (sqrt (/ 1 (* J (* (cos (/ K 2)) 2))))) 20.551 * * [simplify]: iters left: 6 (13 enodes) 20.557 * * [simplify]: iters left: 5 (48 enodes) 20.573 * * [simplify]: iters left: 4 (68 enodes) 20.596 * * [simplify]: iters left: 3 (86 enodes) 20.619 * * [simplify]: iters left: 2 (91 enodes) 20.642 * * [simplify]: Extracting #0: cost 1 inf + 0 20.642 * * [simplify]: Extracting #1: cost 4 inf + 0 20.642 * * [simplify]: Extracting #2: cost 8 inf + 0 20.642 * * [simplify]: Extracting #3: cost 18 inf + 1 20.643 * * [simplify]: Extracting #4: cost 26 inf + 45 20.643 * * [simplify]: Extracting #5: cost 25 inf + 255 20.643 * * [simplify]: Extracting #6: cost 22 inf + 340 20.644 * * [simplify]: Extracting #7: cost 9 inf + 2076 20.645 * * [simplify]: Extracting #8: cost 1 inf + 3706 20.647 * * [simplify]: Extracting #9: cost 0 inf + 3930 20.648 * [simplify]: Simplified to (* (sqrt (/ (/ 1/2 (cos (/ K 2))) J)) (sqrt U)) 20.648 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (* (sqrt U) (sqrt (/ 1 (* J (* (cos (/ K 2)) 2))))) (* (sqrt (/ (/ 1/2 (cos (/ K 2))) J)) (sqrt U)))) (* (cos (/ K 2)) (* -2 J)))) 20.648 * * * * [progress]: [ 51 / 132 ] simplifiying candidate # 20.648 * [simplify]: Simplifying (cbrt (/ 1 (* J (* (cos (/ K 2)) 2)))) 20.648 * * [simplify]: iters left: 6 (10 enodes) 20.653 * * [simplify]: iters left: 5 (38 enodes) 20.660 * * [simplify]: iters left: 4 (58 enodes) 20.670 * * [simplify]: iters left: 3 (76 enodes) 20.686 * * [simplify]: iters left: 2 (81 enodes) 20.707 * * [simplify]: Extracting #0: cost 1 inf + 0 20.707 * * [simplify]: Extracting #1: cost 3 inf + 0 20.707 * * [simplify]: Extracting #2: cost 14 inf + 0 20.707 * * [simplify]: Extracting #3: cost 23 inf + 3 20.707 * * [simplify]: Extracting #4: cost 23 inf + 172 20.707 * * [simplify]: Extracting #5: cost 16 inf + 545 20.708 * * [simplify]: Extracting #6: cost 4 inf + 2663 20.709 * * [simplify]: Extracting #7: cost 0 inf + 3317 20.709 * [simplify]: Simplified to (cbrt (/ (/ 1/2 (cos (/ K 2))) J)) 20.709 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (* U (* (cbrt (/ 1 (* J (* (cos (/ K 2)) 2)))) (cbrt (/ 1 (* J (* (cos (/ K 2)) 2)))))) (cbrt (/ (/ 1/2 (cos (/ K 2))) J)))) (* (cos (/ K 2)) (* -2 J)))) 20.710 * * * * [progress]: [ 52 / 132 ] simplifiying candidate # 20.710 * [simplify]: Simplifying (sqrt (/ 1 (* J (* (cos (/ K 2)) 2)))) 20.710 * * [simplify]: iters left: 6 (10 enodes) 20.713 * * [simplify]: iters left: 5 (38 enodes) 20.720 * * [simplify]: iters left: 4 (58 enodes) 20.730 * * [simplify]: iters left: 3 (76 enodes) 20.743 * * [simplify]: iters left: 2 (81 enodes) 20.755 * * [simplify]: Extracting #0: cost 1 inf + 0 20.755 * * [simplify]: Extracting #1: cost 3 inf + 0 20.756 * * [simplify]: Extracting #2: cost 14 inf + 0 20.756 * * [simplify]: Extracting #3: cost 23 inf + 3 20.756 * * [simplify]: Extracting #4: cost 23 inf + 172 20.756 * * [simplify]: Extracting #5: cost 16 inf + 545 20.756 * * [simplify]: Extracting #6: cost 4 inf + 2583 20.757 * * [simplify]: Extracting #7: cost 0 inf + 3237 20.758 * [simplify]: Simplified to (sqrt (/ (/ 1/2 (cos (/ K 2))) J)) 20.758 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (* U (sqrt (/ 1 (* J (* (cos (/ K 2)) 2))))) (sqrt (/ (/ 1/2 (cos (/ K 2))) J)))) (* (cos (/ K 2)) (* -2 J)))) 20.758 * * * * [progress]: [ 53 / 132 ] simplifiying candidate # 20.758 * [simplify]: Simplifying (/ (cbrt 1) (* (cos (/ K 2)) 2)) 20.758 * * [simplify]: iters left: 6 (8 enodes) 20.762 * * [simplify]: iters left: 5 (29 enodes) 20.767 * * [simplify]: iters left: 4 (39 enodes) 20.774 * * [simplify]: iters left: 3 (43 enodes) 20.786 * * [simplify]: Extracting #0: cost 1 inf + 0 20.786 * * [simplify]: Extracting #1: cost 9 inf + 0 20.786 * * [simplify]: Extracting #2: cost 11 inf + 3 20.786 * * [simplify]: Extracting #3: cost 13 inf + 3 20.787 * * [simplify]: Extracting #4: cost 12 inf + 4 20.787 * * [simplify]: Extracting #5: cost 7 inf + 476 20.787 * * [simplify]: Extracting #6: cost 1 inf + 1291 20.788 * * [simplify]: Extracting #7: cost 0 inf + 1434 20.788 * [simplify]: Simplified to (/ 1/2 (cos (/ K 2))) 20.788 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (* U (/ (* (cbrt 1) (cbrt 1)) J)) (/ 1/2 (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) 20.788 * * * * [progress]: [ 54 / 132 ] simplifiying candidate # 20.789 * [simplify]: Simplifying (/ (sqrt 1) (* (cos (/ K 2)) 2)) 20.789 * * [simplify]: iters left: 6 (8 enodes) 20.794 * * [simplify]: iters left: 5 (29 enodes) 20.804 * * [simplify]: iters left: 4 (39 enodes) 20.816 * * [simplify]: iters left: 3 (43 enodes) 20.829 * * [simplify]: Extracting #0: cost 1 inf + 0 20.829 * * [simplify]: Extracting #1: cost 9 inf + 0 20.829 * * [simplify]: Extracting #2: cost 11 inf + 3 20.829 * * [simplify]: Extracting #3: cost 13 inf + 3 20.829 * * [simplify]: Extracting #4: cost 12 inf + 4 20.829 * * [simplify]: Extracting #5: cost 7 inf + 476 20.830 * * [simplify]: Extracting #6: cost 1 inf + 1291 20.830 * * [simplify]: Extracting #7: cost 0 inf + 1434 20.831 * [simplify]: Simplified to (/ 1/2 (cos (/ K 2))) 20.831 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (* U (/ (sqrt 1) J)) (/ 1/2 (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) 20.831 * * * * [progress]: [ 55 / 132 ] simplifiying candidate # 20.831 * [simplify]: Simplifying (/ 1 (* (cos (/ K 2)) 2)) 20.832 * * [simplify]: iters left: 6 (7 enodes) 20.836 * * [simplify]: iters left: 5 (26 enodes) 20.846 * * [simplify]: iters left: 4 (33 enodes) 20.856 * * [simplify]: iters left: 3 (35 enodes) 20.866 * * [simplify]: Extracting #0: cost 1 inf + 0 20.866 * * [simplify]: Extracting #1: cost 8 inf + 0 20.866 * * [simplify]: Extracting #2: cost 9 inf + 3 20.866 * * [simplify]: Extracting #3: cost 11 inf + 3 20.867 * * [simplify]: Extracting #4: cost 8 inf + 88 20.867 * * [simplify]: Extracting #5: cost 3 inf + 761 20.867 * * [simplify]: Extracting #6: cost 0 inf + 1148 20.868 * [simplify]: Simplified to (/ 1/2 (cos (/ K 2))) 20.868 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (* U (/ 1 J)) (/ 1/2 (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) 20.868 * * * * [progress]: [ 56 / 132 ] simplifiying candidate # 20.868 * [simplify]: Simplifying (/ 1 (* J (* (cos (/ K 2)) 2))) 20.868 * * [simplify]: iters left: 6 (9 enodes) 20.873 * * [simplify]: iters left: 5 (35 enodes) 20.884 * * [simplify]: iters left: 4 (55 enodes) 20.895 * * [simplify]: iters left: 3 (73 enodes) 20.905 * * [simplify]: iters left: 2 (78 enodes) 20.918 * * [simplify]: Extracting #0: cost 1 inf + 0 20.918 * * [simplify]: Extracting #1: cost 12 inf + 0 20.918 * * [simplify]: Extracting #2: cost 21 inf + 3 20.918 * * [simplify]: Extracting #3: cost 22 inf + 130 20.919 * * [simplify]: Extracting #4: cost 14 inf + 627 20.920 * * [simplify]: Extracting #5: cost 4 inf + 2177 20.921 * * [simplify]: Extracting #6: cost 0 inf + 2789 20.922 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 20.922 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (* U 1) (/ (/ 1/2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) 20.922 * * * * [progress]: [ 57 / 132 ] simplifiying candidate # 20.923 * [simplify]: Simplifying (/ 1 (* J (* (cos (/ K 2)) 2))) 20.923 * * [simplify]: iters left: 6 (9 enodes) 20.928 * * [simplify]: iters left: 5 (35 enodes) 20.939 * * [simplify]: iters left: 4 (55 enodes) 20.948 * * [simplify]: iters left: 3 (73 enodes) 20.958 * * [simplify]: iters left: 2 (78 enodes) 20.968 * * [simplify]: Extracting #0: cost 1 inf + 0 20.968 * * [simplify]: Extracting #1: cost 12 inf + 0 20.968 * * [simplify]: Extracting #2: cost 21 inf + 3 20.968 * * [simplify]: Extracting #3: cost 22 inf + 130 20.969 * * [simplify]: Extracting #4: cost 14 inf + 627 20.969 * * [simplify]: Extracting #5: cost 4 inf + 2177 20.970 * * [simplify]: Extracting #6: cost 0 inf + 2789 20.970 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 20.970 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (* U 1) (/ (/ 1/2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) 20.970 * * * * [progress]: [ 58 / 132 ] simplifiying candidate # 20.971 * [simplify]: Simplifying (* (cbrt U) (cbrt U)) 20.971 * * [simplify]: iters left: 3 (3 enodes) 20.972 * * [simplify]: iters left: 2 (9 enodes) 20.974 * * [simplify]: Extracting #0: cost 1 inf + 0 20.974 * * [simplify]: Extracting #1: cost 3 inf + 0 20.974 * * [simplify]: Extracting #2: cost 5 inf + 0 20.974 * * [simplify]: Extracting #3: cost 4 inf + 1 20.974 * * [simplify]: Extracting #4: cost 0 inf + 405 20.975 * [simplify]: Simplified to (* (cbrt U) (cbrt U)) 20.975 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (* (cbrt U) (cbrt U)) (* (cbrt U) (/ 1 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 20.975 * * * * [progress]: [ 59 / 132 ] simplifiying candidate # 20.975 * [simplify]: Simplifying (sqrt U) 20.975 * * [simplify]: iters left: 1 (2 enodes) 20.976 * * [simplify]: Extracting #0: cost 1 inf + 0 20.976 * * [simplify]: Extracting #1: cost 3 inf + 0 20.976 * * [simplify]: Extracting #2: cost 2 inf + 1 20.976 * * [simplify]: Extracting #3: cost 0 inf + 83 20.976 * [simplify]: Simplified to (sqrt U) 20.976 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (sqrt U) (* (sqrt U) (/ 1 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 20.976 * * * * [progress]: [ 60 / 132 ] simplifiying candidate # 20.976 * * * * [progress]: [ 61 / 132 ] simplifiying candidate # 20.977 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 20.977 * * [simplify]: iters left: 6 (7 enodes) 20.980 * * [simplify]: iters left: 5 (25 enodes) 20.989 * * [simplify]: iters left: 4 (33 enodes) 21.001 * * [simplify]: iters left: 3 (39 enodes) 21.011 * * [simplify]: Extracting #0: cost 1 inf + 0 21.011 * * [simplify]: Extracting #1: cost 8 inf + 0 21.011 * * [simplify]: Extracting #2: cost 11 inf + 2 21.011 * * [simplify]: Extracting #3: cost 12 inf + 44 21.011 * * [simplify]: Extracting #4: cost 8 inf + 171 21.012 * * [simplify]: Extracting #5: cost 3 inf + 843 21.012 * * [simplify]: Extracting #6: cost 0 inf + 1311 21.013 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 21.013 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ (* U 1) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* -2 J)))) 21.013 * * * * [progress]: [ 62 / 132 ] simplifiying candidate #real (real->posit16 (* U (/ 1 (* J (* (cos (/ K 2)) 2))))))) (* (cos (/ K 2)) (* -2 J))))> 21.014 * * * * [progress]: [ 63 / 132 ] simplifiying candidate # 21.014 * * * * [progress]: [ 64 / 132 ] simplifiying candidate # 21.014 * * * * [progress]: [ 65 / 132 ] simplifiying candidate # 21.014 * * * * [progress]: [ 66 / 132 ] simplifiying candidate # 21.014 * * * * [progress]: [ 67 / 132 ] simplifiying candidate # 21.014 * [simplify]: Simplifying (- 1) 21.014 * * [simplify]: iters left: 2 (2 enodes) 21.017 * * [simplify]: iters left: 1 (9 enodes) 21.020 * * [simplify]: Extracting #0: cost 1 inf + 0 21.020 * * [simplify]: Extracting #1: cost 0 inf + 1 21.020 * [simplify]: Simplified to -1 21.020 * [simplify]: Simplified (2 1 2 2 2) to (λ (J K U) (* (hypot 1 (* U (pow (* J (* (cos (/ K 2)) 2)) -1))) (* (cos (/ K 2)) (* -2 J)))) 21.020 * * * * [progress]: [ 68 / 132 ] simplifiying candidate # 21.021 * [simplify]: Simplifying (- 1) 21.021 * * [simplify]: iters left: 2 (2 enodes) 21.023 * * [simplify]: iters left: 1 (9 enodes) 21.026 * * [simplify]: Extracting #0: cost 1 inf + 0 21.026 * * [simplify]: Extracting #1: cost 0 inf + 1 21.026 * [simplify]: Simplified to -1 21.026 * [simplify]: Simplified (2 1 2 2 2) to (λ (J K U) (* (hypot 1 (* U (pow (* J (* (cos (/ K 2)) 2)) -1))) (* (cos (/ K 2)) (* -2 J)))) 21.026 * * * * [progress]: [ 69 / 132 ] simplifiying candidate # 21.027 * [simplify]: Simplifying (- 1) 21.027 * * [simplify]: iters left: 2 (2 enodes) 21.029 * * [simplify]: iters left: 1 (9 enodes) 21.032 * * [simplify]: Extracting #0: cost 1 inf + 0 21.032 * * [simplify]: Extracting #1: cost 0 inf + 1 21.032 * [simplify]: Simplified to -1 21.032 * [simplify]: Simplified (2 1 2 2 2) to (λ (J K U) (* (hypot 1 (* U (pow (* J (* (cos (/ K 2)) 2)) -1))) (* (cos (/ K 2)) (* -2 J)))) 21.032 * * * * [progress]: [ 70 / 132 ] simplifiying candidate # 21.032 * * * * [progress]: [ 71 / 132 ] simplifiying candidate # 21.032 * * * * [progress]: [ 72 / 132 ] simplifiying candidate # 21.032 * * * * [progress]: [ 73 / 132 ] simplifiying candidate # 21.032 * * * * [progress]: [ 74 / 132 ] simplifiying candidate # 21.033 * [simplify]: Simplifying (- 0 (+ (log J) (+ (log (cos (/ K 2))) (log 2)))) 21.033 * * [simplify]: iters left: 6 (12 enodes) 21.039 * * [simplify]: iters left: 5 (44 enodes) 21.054 * * [simplify]: iters left: 4 (75 enodes) 21.082 * * [simplify]: iters left: 3 (131 enodes) 21.131 * * [simplify]: iters left: 2 (178 enodes) 21.173 * * [simplify]: iters left: 1 (228 enodes) 21.222 * * [simplify]: Extracting #0: cost 1 inf + 0 21.222 * * [simplify]: Extracting #1: cost 16 inf + 0 21.222 * * [simplify]: Extracting #2: cost 43 inf + 1 21.222 * * [simplify]: Extracting #3: cost 41 inf + 145 21.222 * * [simplify]: Extracting #4: cost 35 inf + 1106 21.223 * * [simplify]: Extracting #5: cost 18 inf + 4424 21.227 * * [simplify]: Extracting #6: cost 3 inf + 8773 21.231 * * [simplify]: Extracting #7: cost 0 inf + 9711 21.235 * [simplify]: Simplified to (- (- (+ (log (cos (/ K 2))) (log J))) (log 2)) 21.235 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (exp (- (- (+ (log (cos (/ K 2))) (log J))) (log 2))))) (* (cos (/ K 2)) (* -2 J)))) 21.235 * * * * [progress]: [ 75 / 132 ] simplifiying candidate # 21.236 * [simplify]: Simplifying (- 0 (+ (log J) (log (* (cos (/ K 2)) 2)))) 21.236 * * [simplify]: iters left: 6 (11 enodes) 21.242 * * [simplify]: iters left: 5 (42 enodes) 21.258 * * [simplify]: iters left: 4 (67 enodes) 21.277 * * [simplify]: iters left: 3 (111 enodes) 21.303 * * [simplify]: iters left: 2 (162 enodes) 21.351 * * [simplify]: iters left: 1 (223 enodes) 21.438 * * [simplify]: Extracting #0: cost 1 inf + 0 21.438 * * [simplify]: Extracting #1: cost 16 inf + 0 21.438 * * [simplify]: Extracting #2: cost 46 inf + 1 21.438 * * [simplify]: Extracting #3: cost 43 inf + 368 21.439 * * [simplify]: Extracting #4: cost 34 inf + 2116 21.439 * * [simplify]: Extracting #5: cost 25 inf + 3212 21.440 * * [simplify]: Extracting #6: cost 13 inf + 5811 21.443 * * [simplify]: Extracting #7: cost 0 inf + 9779 21.445 * [simplify]: Simplified to (- (+ (log (* (cos (/ K 2)) 2)) (log J))) 21.445 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (exp (- (+ (log (* (cos (/ K 2)) 2)) (log J)))))) (* (cos (/ K 2)) (* -2 J)))) 21.445 * * * * [progress]: [ 76 / 132 ] simplifiying candidate # 21.445 * [simplify]: Simplifying (- 0 (log (* J (* (cos (/ K 2)) 2)))) 21.445 * * [simplify]: iters left: 6 (10 enodes) 21.448 * * [simplify]: iters left: 5 (39 enodes) 21.456 * * [simplify]: iters left: 4 (67 enodes) 21.472 * * [simplify]: iters left: 3 (110 enodes) 21.495 * * [simplify]: iters left: 2 (179 enodes) 21.541 * * [simplify]: iters left: 1 (224 enodes) 21.593 * * [simplify]: Extracting #0: cost 1 inf + 0 21.594 * * [simplify]: Extracting #1: cost 18 inf + 0 21.594 * * [simplify]: Extracting #2: cost 44 inf + 1 21.594 * * [simplify]: Extracting #3: cost 46 inf + 185 21.594 * * [simplify]: Extracting #4: cost 35 inf + 1815 21.595 * * [simplify]: Extracting #5: cost 23 inf + 3101 21.597 * * [simplify]: Extracting #6: cost 8 inf + 6538 21.599 * * [simplify]: Extracting #7: cost 0 inf + 8548 21.601 * * [simplify]: Extracting #8: cost 0 inf + 8478 21.603 * [simplify]: Simplified to (- (log (* (* (cos (/ K 2)) J) 2))) 21.603 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (exp (- (log (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 21.603 * * * * [progress]: [ 77 / 132 ] simplifiying candidate # 21.604 * [simplify]: Simplifying (- (log 1) (+ (log J) (+ (log (cos (/ K 2))) (log 2)))) 21.604 * * [simplify]: iters left: 6 (13 enodes) 21.608 * * [simplify]: iters left: 5 (49 enodes) 21.616 * * [simplify]: iters left: 4 (72 enodes) 21.636 * * [simplify]: iters left: 3 (120 enodes) 21.673 * * [simplify]: iters left: 2 (139 enodes) 21.727 * * [simplify]: iters left: 1 (207 enodes) 21.817 * * [simplify]: Extracting #0: cost 1 inf + 0 21.817 * * [simplify]: Extracting #1: cost 17 inf + 0 21.818 * * [simplify]: Extracting #2: cost 36 inf + 1 21.818 * * [simplify]: Extracting #3: cost 34 inf + 145 21.819 * * [simplify]: Extracting #4: cost 30 inf + 1033 21.819 * * [simplify]: Extracting #5: cost 23 inf + 1953 21.821 * * [simplify]: Extracting #6: cost 14 inf + 3883 21.823 * * [simplify]: Extracting #7: cost 3 inf + 6939 21.827 * * [simplify]: Extracting #8: cost 0 inf + 8128 21.830 * [simplify]: Simplified to (- (- (log (cos (/ K 2)))) (+ (log J) (log 2))) 21.830 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (exp (- (- (log (cos (/ K 2)))) (+ (log J) (log 2)))))) (* (cos (/ K 2)) (* -2 J)))) 21.830 * * * * [progress]: [ 78 / 132 ] simplifiying candidate # 21.831 * [simplify]: Simplifying (- (log 1) (+ (log J) (log (* (cos (/ K 2)) 2)))) 21.831 * * [simplify]: iters left: 6 (12 enodes) 21.837 * * [simplify]: iters left: 5 (47 enodes) 21.852 * * [simplify]: iters left: 4 (66 enodes) 21.875 * * [simplify]: iters left: 3 (107 enodes) 21.891 * * [simplify]: iters left: 2 (125 enodes) 21.913 * * [simplify]: iters left: 1 (181 enodes) 22.000 * * [simplify]: Extracting #0: cost 1 inf + 0 22.000 * * [simplify]: Extracting #1: cost 24 inf + 0 22.000 * * [simplify]: Extracting #2: cost 48 inf + 1 22.001 * * [simplify]: Extracting #3: cost 42 inf + 701 22.002 * * [simplify]: Extracting #4: cost 34 inf + 2478 22.003 * * [simplify]: Extracting #5: cost 27 inf + 3351 22.005 * * [simplify]: Extracting #6: cost 15 inf + 6392 22.010 * * [simplify]: Extracting #7: cost 1 inf + 10557 22.014 * * [simplify]: Extracting #8: cost 0 inf + 10810 22.019 * [simplify]: Simplified to (- (+ (log J) (log (* (cos (/ K 2)) 2)))) 22.019 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (exp (- (+ (log J) (log (* (cos (/ K 2)) 2))))))) (* (cos (/ K 2)) (* -2 J)))) 22.019 * * * * [progress]: [ 79 / 132 ] simplifiying candidate # 22.019 * [simplify]: Simplifying (- (log 1) (log (* J (* (cos (/ K 2)) 2)))) 22.019 * * [simplify]: iters left: 6 (11 enodes) 22.024 * * [simplify]: iters left: 5 (44 enodes) 22.032 * * [simplify]: iters left: 4 (66 enodes) 22.044 * * [simplify]: iters left: 3 (97 enodes) 22.075 * * [simplify]: iters left: 2 (126 enodes) 22.112 * * [simplify]: iters left: 1 (181 enodes) 22.162 * * [simplify]: Extracting #0: cost 1 inf + 0 22.162 * * [simplify]: Extracting #1: cost 28 inf + 0 22.162 * * [simplify]: Extracting #2: cost 56 inf + 1 22.162 * * [simplify]: Extracting #3: cost 51 inf + 884 22.163 * * [simplify]: Extracting #4: cost 43 inf + 2381 22.165 * * [simplify]: Extracting #5: cost 27 inf + 4605 22.168 * * [simplify]: Extracting #6: cost 3 inf + 11481 22.172 * * [simplify]: Extracting #7: cost 0 inf + 11960 22.175 * [simplify]: Simplified to (- (log (* (* 2 J) (cos (/ K 2))))) 22.175 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (exp (- (log (* (* 2 J) (cos (/ K 2)))))))) (* (cos (/ K 2)) (* -2 J)))) 22.175 * * * * [progress]: [ 80 / 132 ] simplifiying candidate # 22.175 * * * * [progress]: [ 81 / 132 ] simplifiying candidate # 22.175 * * * * [progress]: [ 82 / 132 ] simplifiying candidate # 22.175 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2)))) 22.175 * * [simplify]: iters left: 6 (17 enodes) 22.181 * * [simplify]: iters left: 5 (69 enodes) 22.196 * * [simplify]: iters left: 4 (174 enodes) 22.247 * * [simplify]: Extracting #0: cost 1 inf + 0 22.248 * * [simplify]: Extracting #1: cost 62 inf + 0 22.248 * * [simplify]: Extracting #2: cost 141 inf + 170 22.249 * * [simplify]: Extracting #3: cost 137 inf + 2214 22.250 * * [simplify]: Extracting #4: cost 125 inf + 3186 22.255 * * [simplify]: Extracting #5: cost 39 inf + 23254 22.263 * * [simplify]: Extracting #6: cost 0 inf + 33985 22.279 * * [simplify]: Extracting #7: cost 0 inf + 33945 22.295 * [simplify]: Simplified to (/ (/ (/ 1/8 (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) J) (* J J)) 22.295 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (cbrt (/ (/ (/ 1/8 (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) J) (* J J))))) (* (cos (/ K 2)) (* -2 J)))) 22.295 * * * * [progress]: [ 83 / 132 ] simplifiying candidate # 22.296 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2)))) 22.296 * * [simplify]: iters left: 6 (15 enodes) 22.305 * * [simplify]: iters left: 5 (66 enodes) 22.330 * * [simplify]: iters left: 4 (173 enodes) 22.414 * * [simplify]: Extracting #0: cost 1 inf + 0 22.414 * * [simplify]: Extracting #1: cost 69 inf + 0 22.415 * * [simplify]: Extracting #2: cost 166 inf + 127 22.416 * * [simplify]: Extracting #3: cost 176 inf + 1236 22.417 * * [simplify]: Extracting #4: cost 148 inf + 5547 22.428 * * [simplify]: Extracting #5: cost 43 inf + 32363 22.451 * * [simplify]: Extracting #6: cost 0 inf + 44623 22.473 * * [simplify]: Extracting #7: cost 0 inf + 44421 22.495 * [simplify]: Simplified to (/ 1 (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))))) 22.495 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (cbrt (/ 1 (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))))))) (* (cos (/ K 2)) (* -2 J)))) 22.496 * * * * [progress]: [ 84 / 132 ] simplifiying candidate # 22.496 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))) 22.496 * * [simplify]: iters left: 6 (13 enodes) 22.504 * * [simplify]: iters left: 5 (56 enodes) 22.529 * * [simplify]: iters left: 4 (186 enodes) 22.642 * * [simplify]: Extracting #0: cost 1 inf + 0 22.642 * * [simplify]: Extracting #1: cost 71 inf + 0 22.643 * * [simplify]: Extracting #2: cost 183 inf + 45 22.645 * * [simplify]: Extracting #3: cost 179 inf + 2115 22.654 * * [simplify]: Extracting #4: cost 122 inf + 14539 22.667 * * [simplify]: Extracting #5: cost 10 inf + 43970 22.679 * * [simplify]: Extracting #6: cost 0 inf + 45404 22.693 * [simplify]: Simplified to (/ 1 (* (* (cos (/ K 2)) (* J 2)) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))) 22.694 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (cbrt (/ 1 (* (* (cos (/ K 2)) (* J 2)) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))))) (* (cos (/ K 2)) (* -2 J)))) 22.694 * * * * [progress]: [ 85 / 132 ] simplifiying candidate # 22.694 * * * * [progress]: [ 86 / 132 ] simplifiying candidate # 22.694 * * * * [progress]: [ 87 / 132 ] simplifiying candidate # 22.694 * * * * [progress]: [ 88 / 132 ] simplifiying candidate # 22.694 * * * * [progress]: [ 89 / 132 ] simplifiying candidate # 22.694 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) J) 22.695 * * [simplify]: iters left: 5 (5 enodes) 22.699 * * [simplify]: iters left: 4 (19 enodes) 22.706 * * [simplify]: iters left: 3 (21 enodes) 22.711 * * [simplify]: Extracting #0: cost 1 inf + 0 22.711 * * [simplify]: Extracting #1: cost 4 inf + 0 22.711 * * [simplify]: Extracting #2: cost 2 inf + 2 22.711 * * [simplify]: Extracting #3: cost 0 inf + 86 22.711 * [simplify]: Simplified to (/ 1 J) 22.711 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (* (/ 1 J) (/ (cbrt 1) (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 22.712 * [simplify]: Simplifying (/ (cbrt 1) (* (cos (/ K 2)) 2)) 22.712 * * [simplify]: iters left: 6 (8 enodes) 22.717 * * [simplify]: iters left: 5 (29 enodes) 22.724 * * [simplify]: iters left: 4 (39 enodes) 22.730 * * [simplify]: iters left: 3 (43 enodes) 22.736 * * [simplify]: Extracting #0: cost 1 inf + 0 22.736 * * [simplify]: Extracting #1: cost 9 inf + 0 22.736 * * [simplify]: Extracting #2: cost 11 inf + 3 22.736 * * [simplify]: Extracting #3: cost 13 inf + 3 22.736 * * [simplify]: Extracting #4: cost 12 inf + 4 22.737 * * [simplify]: Extracting #5: cost 7 inf + 476 22.737 * * [simplify]: Extracting #6: cost 1 inf + 1291 22.737 * * [simplify]: Extracting #7: cost 0 inf + 1434 22.737 * [simplify]: Simplified to (/ 1/2 (cos (/ K 2))) 22.737 * [simplify]: Simplified (2 1 2 2 2) to (λ (J K U) (* (hypot 1 (* U (* (/ 1 J) (/ 1/2 (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))) 22.737 * * * * [progress]: [ 90 / 132 ] simplifiying candidate # 22.738 * [simplify]: Simplifying (/ (sqrt 1) J) 22.738 * * [simplify]: iters left: 3 (4 enodes) 22.739 * * [simplify]: iters left: 2 (14 enodes) 22.741 * * [simplify]: iters left: 1 (16 enodes) 22.744 * * [simplify]: Extracting #0: cost 1 inf + 0 22.744 * * [simplify]: Extracting #1: cost 4 inf + 0 22.744 * * [simplify]: Extracting #2: cost 2 inf + 2 22.744 * * [simplify]: Extracting #3: cost 1 inf + 44 22.744 * * [simplify]: Extracting #4: cost 0 inf + 86 22.744 * [simplify]: Simplified to (/ 1 J) 22.744 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (* (/ 1 J) (/ (sqrt 1) (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 22.745 * [simplify]: Simplifying (/ (sqrt 1) (* (cos (/ K 2)) 2)) 22.745 * * [simplify]: iters left: 6 (8 enodes) 22.748 * * [simplify]: iters left: 5 (29 enodes) 22.757 * * [simplify]: iters left: 4 (39 enodes) 22.771 * * [simplify]: iters left: 3 (43 enodes) 22.784 * * [simplify]: Extracting #0: cost 1 inf + 0 22.784 * * [simplify]: Extracting #1: cost 9 inf + 0 22.784 * * [simplify]: Extracting #2: cost 11 inf + 3 22.784 * * [simplify]: Extracting #3: cost 13 inf + 3 22.784 * * [simplify]: Extracting #4: cost 12 inf + 4 22.784 * * [simplify]: Extracting #5: cost 7 inf + 476 22.785 * * [simplify]: Extracting #6: cost 1 inf + 1291 22.785 * * [simplify]: Extracting #7: cost 0 inf + 1434 22.786 * [simplify]: Simplified to (/ 1/2 (cos (/ K 2))) 22.786 * [simplify]: Simplified (2 1 2 2 2) to (λ (J K U) (* (hypot 1 (* U (* (/ (sqrt 1) J) (/ 1/2 (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))) 22.786 * * * * [progress]: [ 91 / 132 ] simplifiying candidate # 22.786 * [simplify]: Simplifying (/ 1 J) 22.786 * * [simplify]: iters left: 2 (3 enodes) 22.788 * * [simplify]: iters left: 1 (11 enodes) 22.792 * * [simplify]: Extracting #0: cost 1 inf + 0 22.792 * * [simplify]: Extracting #1: cost 4 inf + 0 22.792 * * [simplify]: Extracting #2: cost 2 inf + 2 22.792 * * [simplify]: Extracting #3: cost 0 inf + 86 22.792 * [simplify]: Simplified to (/ 1 J) 22.792 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (* (/ 1 J) (/ 1 (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 22.793 * [simplify]: Simplifying (/ 1 (* (cos (/ K 2)) 2)) 22.793 * * [simplify]: iters left: 6 (7 enodes) 22.797 * * [simplify]: iters left: 5 (26 enodes) 22.806 * * [simplify]: iters left: 4 (33 enodes) 22.816 * * [simplify]: iters left: 3 (35 enodes) 22.826 * * [simplify]: Extracting #0: cost 1 inf + 0 22.826 * * [simplify]: Extracting #1: cost 8 inf + 0 22.826 * * [simplify]: Extracting #2: cost 9 inf + 3 22.826 * * [simplify]: Extracting #3: cost 11 inf + 3 22.827 * * [simplify]: Extracting #4: cost 8 inf + 88 22.827 * * [simplify]: Extracting #5: cost 3 inf + 761 22.827 * * [simplify]: Extracting #6: cost 0 inf + 1148 22.828 * [simplify]: Simplified to (/ 1/2 (cos (/ K 2))) 22.828 * [simplify]: Simplified (2 1 2 2 2) to (λ (J K U) (* (hypot 1 (* U (* (/ 1 J) (/ 1/2 (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))) 22.828 * * * * [progress]: [ 92 / 132 ] simplifiying candidate # 22.828 * * * * [progress]: [ 93 / 132 ] simplifiying candidate # 22.828 * * * * [progress]: [ 94 / 132 ] simplifiying candidate # 22.828 * * * * [progress]: [ 95 / 132 ] simplifiying candidate # 22.828 * [simplify]: Simplifying (* (cos (/ K 2)) 2) 22.829 * * [simplify]: iters left: 5 (5 enodes) 22.831 * * [simplify]: iters left: 4 (16 enodes) 22.836 * * [simplify]: Extracting #0: cost 1 inf + 0 22.836 * * [simplify]: Extracting #1: cost 4 inf + 0 22.836 * * [simplify]: Extracting #2: cost 5 inf + 1 22.836 * * [simplify]: Extracting #3: cost 7 inf + 1 22.836 * * [simplify]: Extracting #4: cost 6 inf + 2 22.836 * * [simplify]: Extracting #5: cost 0 inf + 574 22.837 * [simplify]: Simplified to (* (cos (/ K 2)) 2) 22.837 * [simplify]: Simplified (2 1 2 2 2) to (λ (J K U) (* (hypot 1 (* U (/ (/ 1 J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 22.837 * * * * [progress]: [ 96 / 132 ] simplifiying candidate # 22.837 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 22.837 * * [simplify]: iters left: 3 (3 enodes) 22.843 * * [simplify]: iters left: 2 (11 enodes) 22.846 * * [simplify]: iters left: 1 (13 enodes) 22.849 * * [simplify]: Extracting #0: cost 1 inf + 0 22.849 * * [simplify]: Extracting #1: cost 0 inf + 1 22.849 * [simplify]: Simplified to 1 22.849 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (/ 1 (/ (* J (* (cos (/ K 2)) 2)) (cbrt 1))))) (* (cos (/ K 2)) (* -2 J)))) 22.850 * * * * [progress]: [ 97 / 132 ] simplifiying candidate # 22.850 * [simplify]: Simplifying (sqrt 1) 22.850 * * [simplify]: iters left: 1 (2 enodes) 22.853 * * [simplify]: Extracting #0: cost 1 inf + 0 22.853 * * [simplify]: Extracting #1: cost 0 inf + 1 22.853 * [simplify]: Simplified to 1 22.853 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (* U (/ 1 (/ (* J (* (cos (/ K 2)) 2)) (sqrt 1))))) (* (cos (/ K 2)) (* -2 J)))) 22.854 * * * * [progress]: [ 98 / 132 ] simplifiying candidate # 22.854 * * * * [progress]: [ 99 / 132 ] simplifiying candidate #real (real->posit16 (/ 1 (* J (* (cos (/ K 2)) 2))))))) (* (cos (/ K 2)) (* -2 J))))> 22.854 * * * * [progress]: [ 100 / 132 ] simplifiying candidate # 22.854 * * * * [progress]: [ 101 / 132 ] simplifiying candidate # 22.854 * * * * [progress]: [ 102 / 132 ] simplifiying candidate # 22.854 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 22.854 * * [simplify]: iters left: 6 (7 enodes) 22.858 * * [simplify]: iters left: 5 (25 enodes) 22.866 * * [simplify]: iters left: 4 (33 enodes) 22.877 * * [simplify]: iters left: 3 (39 enodes) 22.887 * * [simplify]: Extracting #0: cost 1 inf + 0 22.887 * * [simplify]: Extracting #1: cost 8 inf + 0 22.887 * * [simplify]: Extracting #2: cost 11 inf + 2 22.887 * * [simplify]: Extracting #3: cost 12 inf + 44 22.887 * * [simplify]: Extracting #4: cost 8 inf + 171 22.887 * * [simplify]: Extracting #5: cost 3 inf + 843 22.888 * * [simplify]: Extracting #6: cost 0 inf + 1311 22.889 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 22.889 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (J K U) (* (hypot 1 (* U (/ 1 (pow (* (cos (/ K 2)) (* J 2)) 1)))) (* (cos (/ K 2)) (* -2 J)))) 22.889 * * * * [progress]: [ 103 / 132 ] simplifiying candidate # 22.889 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 22.889 * * [simplify]: iters left: 6 (7 enodes) 22.893 * * [simplify]: iters left: 5 (25 enodes) 22.901 * * [simplify]: iters left: 4 (33 enodes) 22.911 * * [simplify]: iters left: 3 (39 enodes) 22.921 * * [simplify]: Extracting #0: cost 1 inf + 0 22.921 * * [simplify]: Extracting #1: cost 8 inf + 0 22.921 * * [simplify]: Extracting #2: cost 11 inf + 2 22.921 * * [simplify]: Extracting #3: cost 12 inf + 44 22.921 * * [simplify]: Extracting #4: cost 8 inf + 171 22.922 * * [simplify]: Extracting #5: cost 3 inf + 843 22.922 * * [simplify]: Extracting #6: cost 0 inf + 1311 22.923 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 22.923 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (J K U) (* (hypot 1 (* U (/ 1 (pow (* (cos (/ K 2)) (* J 2)) 1)))) (* (cos (/ K 2)) (* -2 J)))) 22.923 * * * * [progress]: [ 104 / 132 ] simplifiying candidate # 22.923 * * * * [progress]: [ 105 / 132 ] simplifiying candidate # 22.923 * [simplify]: Simplifying (+ (log J) (+ (log (cos (/ K 2))) (log 2))) 22.923 * * [simplify]: iters left: 6 (10 enodes) 22.931 * * [simplify]: iters left: 5 (34 enodes) 22.942 * * [simplify]: iters left: 4 (42 enodes) 22.955 * * [simplify]: iters left: 3 (47 enodes) 22.964 * * [simplify]: Extracting #0: cost 1 inf + 0 22.964 * * [simplify]: Extracting #1: cost 8 inf + 0 22.964 * * [simplify]: Extracting #2: cost 17 inf + 0 22.964 * * [simplify]: Extracting #3: cost 15 inf + 144 22.964 * * [simplify]: Extracting #4: cost 16 inf + 215 22.964 * * [simplify]: Extracting #5: cost 9 inf + 837 22.965 * * [simplify]: Extracting #6: cost 1 inf + 2916 22.965 * * [simplify]: Extracting #7: cost 0 inf + 3199 22.966 * [simplify]: Simplified to (+ (log 2) (+ (log J) (log (cos (/ K 2))))) 22.966 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (J K U) (* (hypot 1 (* U (/ 1 (exp (+ (log 2) (+ (log J) (log (cos (/ K 2))))))))) (* (cos (/ K 2)) (* -2 J)))) 22.966 * * * * [progress]: [ 106 / 132 ] simplifiying candidate # 22.966 * [simplify]: Simplifying (+ (log J) (log (* (cos (/ K 2)) 2))) 22.966 * * [simplify]: iters left: 6 (9 enodes) 22.969 * * [simplify]: iters left: 5 (32 enodes) 22.974 * * [simplify]: iters left: 4 (41 enodes) 22.981 * * [simplify]: iters left: 3 (50 enodes) 22.989 * * [simplify]: Extracting #0: cost 1 inf + 0 22.989 * * [simplify]: Extracting #1: cost 8 inf + 0 22.989 * * [simplify]: Extracting #2: cost 18 inf + 0 22.989 * * [simplify]: Extracting #3: cost 19 inf + 2 22.990 * * [simplify]: Extracting #4: cost 16 inf + 579 22.990 * * [simplify]: Extracting #5: cost 11 inf + 837 22.990 * * [simplify]: Extracting #6: cost 4 inf + 1991 22.991 * * [simplify]: Extracting #7: cost 0 inf + 3203 22.992 * [simplify]: Simplified to (+ (log (* 2 (cos (/ K 2)))) (log J)) 22.992 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (J K U) (* (hypot 1 (* U (/ 1 (exp (+ (log (* 2 (cos (/ K 2)))) (log J)))))) (* (cos (/ K 2)) (* -2 J)))) 22.993 * * * * [progress]: [ 107 / 132 ] simplifiying candidate # 22.993 * * * * [progress]: [ 108 / 132 ] simplifiying candidate # 22.993 * * * * [progress]: [ 109 / 132 ] simplifiying candidate # 22.993 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) 22.993 * * [simplify]: iters left: 6 (13 enodes) 23.001 * * [simplify]: iters left: 5 (53 enodes) 23.024 * * [simplify]: iters left: 4 (132 enodes) 23.094 * * [simplify]: iters left: 3 (429 enodes) 23.388 * * [simplify]: Extracting #0: cost 1 inf + 0 23.389 * * [simplify]: Extracting #1: cost 91 inf + 0 23.391 * * [simplify]: Extracting #2: cost 246 inf + 87 23.394 * * [simplify]: Extracting #3: cost 220 inf + 2827 23.402 * * [simplify]: Extracting #4: cost 139 inf + 22133 23.429 * * [simplify]: Extracting #5: cost 13 inf + 55236 23.443 * * [simplify]: Extracting #6: cost 0 inf + 57862 23.459 * * [simplify]: Extracting #7: cost 0 inf + 57822 23.479 * [simplify]: Simplified to (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2)))) 23.480 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (J K U) (* (hypot 1 (* U (/ 1 (cbrt (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2)))))))) (* (cos (/ K 2)) (* -2 J)))) 23.480 * * * * [progress]: [ 110 / 132 ] simplifiying candidate # 23.480 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2))) 23.480 * * [simplify]: iters left: 6 (11 enodes) 23.484 * * [simplify]: iters left: 5 (51 enodes) 23.495 * * [simplify]: iters left: 4 (123 enodes) 23.539 * * [simplify]: iters left: 3 (378 enodes) 23.882 * * [simplify]: Extracting #0: cost 1 inf + 0 23.882 * * [simplify]: Extracting #1: cost 70 inf + 0 23.884 * * [simplify]: Extracting #2: cost 183 inf + 248 23.887 * * [simplify]: Extracting #3: cost 165 inf + 2757 23.894 * * [simplify]: Extracting #4: cost 101 inf + 18508 23.918 * * [simplify]: Extracting #5: cost 7 inf + 44227 23.945 * * [simplify]: Extracting #6: cost 0 inf + 45950 23.963 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) 23.963 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (J K U) (* (hypot 1 (* U (/ 1 (cbrt (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)))))) (* (cos (/ K 2)) (* -2 J)))) 23.963 * * * * [progress]: [ 111 / 132 ] simplifiying candidate # 23.963 * * * * [progress]: [ 112 / 132 ] simplifiying candidate # 23.964 * * * * [progress]: [ 113 / 132 ] simplifiying candidate # 23.964 * * * * [progress]: [ 114 / 132 ] simplifiying candidate # 23.964 * * * * [progress]: [ 115 / 132 ] simplifiying candidate # 23.964 * * * * [progress]: [ 116 / 132 ] simplifiying candidate # 23.964 * [simplify]: Simplifying (* (cbrt J) (cbrt J)) 23.964 * * [simplify]: iters left: 3 (3 enodes) 23.965 * * [simplify]: iters left: 2 (9 enodes) 23.966 * * [simplify]: Extracting #0: cost 1 inf + 0 23.966 * * [simplify]: Extracting #1: cost 3 inf + 0 23.966 * * [simplify]: Extracting #2: cost 5 inf + 0 23.966 * * [simplify]: Extracting #3: cost 4 inf + 1 23.966 * * [simplify]: Extracting #4: cost 0 inf + 405 23.966 * [simplify]: Simplified to (* (cbrt J) (cbrt J)) 23.966 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (J K U) (* (hypot 1 (* U (/ 1 (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 23.966 * * * * [progress]: [ 117 / 132 ] simplifiying candidate # 23.966 * [simplify]: Simplifying (sqrt J) 23.966 * * [simplify]: iters left: 1 (2 enodes) 23.967 * * [simplify]: Extracting #0: cost 1 inf + 0 23.967 * * [simplify]: Extracting #1: cost 3 inf + 0 23.967 * * [simplify]: Extracting #2: cost 2 inf + 1 23.967 * * [simplify]: Extracting #3: cost 0 inf + 83 23.967 * [simplify]: Simplified to (sqrt J) 23.967 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (J K U) (* (hypot 1 (* U (/ 1 (* (sqrt J) (* (sqrt J) (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 23.967 * * * * [progress]: [ 118 / 132 ] simplifiying candidate # 23.967 * * * * [progress]: [ 119 / 132 ] simplifiying candidate #real (real->posit16 (* J (* (cos (/ K 2)) 2))))))) (* (cos (/ K 2)) (* -2 J))))> 23.967 * * * * [progress]: [ 120 / 132 ] simplifiying candidate # 23.967 * * * * [progress]: [ 121 / 132 ] simplifiying candidate # 23.967 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 23.968 * * [simplify]: iters left: 6 (10 enodes) 23.971 * * [simplify]: iters left: 5 (44 enodes) 23.983 * * [simplify]: iters left: 4 (83 enodes) 24.005 * * [simplify]: iters left: 3 (132 enodes) 24.026 * * [simplify]: iters left: 2 (186 enodes) 24.076 * * [simplify]: iters left: 1 (263 enodes) 24.129 * * [simplify]: Extracting #0: cost 1 inf + 0 24.129 * * [simplify]: Extracting #1: cost 23 inf + 0 24.129 * * [simplify]: Extracting #2: cost 44 inf + 89 24.130 * * [simplify]: Extracting #3: cost 21 inf + 2920 24.132 * * [simplify]: Extracting #4: cost 0 inf + 4598 24.134 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 24.134 * [simplify]: Simplified (2) to (λ (J K U) (fma (/ -1/4 J) (* U U) (* J -2))) 24.134 * * * * [progress]: [ 122 / 132 ] simplifiying candidate # 24.134 * [simplify]: Simplifying (* -1 U) 24.134 * * [simplify]: iters left: 2 (3 enodes) 24.136 * * [simplify]: iters left: 1 (11 enodes) 24.137 * * [simplify]: Extracting #0: cost 1 inf + 0 24.137 * * [simplify]: Extracting #1: cost 4 inf + 0 24.138 * * [simplify]: Extracting #2: cost 0 inf + 84 24.138 * [simplify]: Simplified to (- U) 24.138 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 24.138 * * * * [progress]: [ 123 / 132 ] simplifiying candidate # 24.138 * [simplify]: Simplifying (* -1 U) 24.138 * * [simplify]: iters left: 2 (3 enodes) 24.139 * * [simplify]: iters left: 1 (11 enodes) 24.142 * * [simplify]: Extracting #0: cost 1 inf + 0 24.142 * * [simplify]: Extracting #1: cost 4 inf + 0 24.142 * * [simplify]: Extracting #2: cost 0 inf + 84 24.142 * [simplify]: Simplified to (- U) 24.143 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 24.143 * * * * [progress]: [ 124 / 132 ] simplifiying candidate # 24.143 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 24.143 * * [simplify]: iters left: 6 (13 enodes) 24.151 * * [simplify]: iters left: 5 (55 enodes) 24.173 * * [simplify]: iters left: 4 (92 enodes) 24.203 * * [simplify]: iters left: 3 (155 enodes) 24.233 * * [simplify]: iters left: 2 (238 enodes) 24.296 * * [simplify]: iters left: 1 (367 enodes) 24.433 * * [simplify]: Extracting #0: cost 1 inf + 0 24.433 * * [simplify]: Extracting #1: cost 33 inf + 0 24.434 * * [simplify]: Extracting #2: cost 65 inf + 129 24.435 * * [simplify]: Extracting #3: cost 50 inf + 2235 24.440 * * [simplify]: Extracting #4: cost 4 inf + 6690 24.445 * * [simplify]: Extracting #5: cost 0 inf + 7294 24.451 * [simplify]: Simplified to (* (/ U J) (+ (* (* K K) 1/16) 1/2)) 24.451 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (* (/ U J) (+ (* (* K K) 1/16) 1/2))) (* (cos (/ K 2)) (* -2 J)))) 24.451 * * * * [progress]: [ 125 / 132 ] simplifiying candidate # 24.451 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 24.452 * * [simplify]: iters left: 6 (9 enodes) 24.456 * * [simplify]: iters left: 5 (34 enodes) 24.468 * * [simplify]: iters left: 4 (56 enodes) 24.486 * * [simplify]: iters left: 3 (90 enodes) 24.509 * * [simplify]: iters left: 2 (114 enodes) 24.526 * * [simplify]: iters left: 1 (131 enodes) 24.548 * * [simplify]: Extracting #0: cost 1 inf + 0 24.548 * * [simplify]: Extracting #1: cost 22 inf + 0 24.548 * * [simplify]: Extracting #2: cost 37 inf + 3 24.548 * * [simplify]: Extracting #3: cost 31 inf + 380 24.549 * * [simplify]: Extracting #4: cost 17 inf + 1834 24.550 * * [simplify]: Extracting #5: cost 3 inf + 4117 24.551 * * [simplify]: Extracting #6: cost 0 inf + 4586 24.552 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 24.552 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (* (cos (/ K 2)) (* -2 J)))) 24.552 * * * * [progress]: [ 126 / 132 ] simplifiying candidate # 24.552 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 24.552 * * [simplify]: iters left: 6 (9 enodes) 24.555 * * [simplify]: iters left: 5 (34 enodes) 24.566 * * [simplify]: iters left: 4 (56 enodes) 24.584 * * [simplify]: iters left: 3 (90 enodes) 24.612 * * [simplify]: iters left: 2 (114 enodes) 24.642 * * [simplify]: iters left: 1 (131 enodes) 24.664 * * [simplify]: Extracting #0: cost 1 inf + 0 24.664 * * [simplify]: Extracting #1: cost 22 inf + 0 24.664 * * [simplify]: Extracting #2: cost 37 inf + 3 24.664 * * [simplify]: Extracting #3: cost 31 inf + 380 24.665 * * [simplify]: Extracting #4: cost 17 inf + 1834 24.666 * * [simplify]: Extracting #5: cost 3 inf + 4117 24.667 * * [simplify]: Extracting #6: cost 0 inf + 4586 24.669 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 24.669 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (* (cos (/ K 2)) (* -2 J)))) 24.669 * * * * [progress]: [ 127 / 132 ] simplifiying candidate # 24.669 * [simplify]: Simplifying (+ (* 1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J))) 24.669 * * [simplify]: iters left: 6 (12 enodes) 24.678 * * [simplify]: iters left: 5 (50 enodes) 24.694 * * [simplify]: iters left: 4 (67 enodes) 24.704 * * [simplify]: iters left: 3 (82 enodes) 24.716 * * [simplify]: iters left: 2 (96 enodes) 24.740 * * [simplify]: iters left: 1 (113 enodes) 24.772 * * [simplify]: Extracting #0: cost 1 inf + 0 24.772 * * [simplify]: Extracting #1: cost 8 inf + 0 24.772 * * [simplify]: Extracting #2: cost 23 inf + 2 24.772 * * [simplify]: Extracting #3: cost 30 inf + 47 24.773 * * [simplify]: Extracting #4: cost 9 inf + 1170 24.775 * * [simplify]: Extracting #5: cost 0 inf + 2104 24.778 * [simplify]: Simplified to (fma 1/16 (/ K (/ J K)) (/ 1/2 J)) 24.778 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* U (fma 1/16 (/ K (/ J K)) (/ 1/2 J)))) (* (cos (/ K 2)) (* -2 J)))) 24.778 * * * * [progress]: [ 128 / 132 ] simplifiying candidate # 24.779 * [simplify]: Simplifying (/ 1/2 (* (cos (* 1/2 K)) J)) 24.779 * * [simplify]: iters left: 6 (7 enodes) 24.783 * * [simplify]: iters left: 5 (25 enodes) 24.787 * * [simplify]: iters left: 4 (29 enodes) 24.792 * * [simplify]: iters left: 3 (31 enodes) 24.796 * * [simplify]: Extracting #0: cost 1 inf + 0 24.796 * * [simplify]: Extracting #1: cost 8 inf + 0 24.796 * * [simplify]: Extracting #2: cost 11 inf + 2 24.796 * * [simplify]: Extracting #3: cost 11 inf + 86 24.796 * * [simplify]: Extracting #4: cost 10 inf + 87 24.797 * * [simplify]: Extracting #5: cost 4 inf + 660 24.797 * * [simplify]: Extracting #6: cost 1 inf + 1128 24.797 * * [simplify]: Extracting #7: cost 0 inf + 1311 24.797 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (* 1/2 K))) 24.797 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* U (/ (/ 1/2 J) (cos (* 1/2 K))))) (* (cos (/ K 2)) (* -2 J)))) 24.797 * * * * [progress]: [ 129 / 132 ] simplifiying candidate # 24.798 * [simplify]: Simplifying (/ 1/2 (* (cos (* 1/2 K)) J)) 24.798 * * [simplify]: iters left: 6 (7 enodes) 24.800 * * [simplify]: iters left: 5 (25 enodes) 24.804 * * [simplify]: iters left: 4 (29 enodes) 24.808 * * [simplify]: iters left: 3 (31 enodes) 24.813 * * [simplify]: Extracting #0: cost 1 inf + 0 24.813 * * [simplify]: Extracting #1: cost 8 inf + 0 24.814 * * [simplify]: Extracting #2: cost 11 inf + 2 24.814 * * [simplify]: Extracting #3: cost 11 inf + 86 24.814 * * [simplify]: Extracting #4: cost 10 inf + 87 24.814 * * [simplify]: Extracting #5: cost 4 inf + 660 24.814 * * [simplify]: Extracting #6: cost 1 inf + 1128 24.815 * * [simplify]: Extracting #7: cost 0 inf + 1311 24.816 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (* 1/2 K))) 24.816 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* U (/ (/ 1/2 J) (cos (* 1/2 K))))) (* (cos (/ K 2)) (* -2 J)))) 24.816 * * * * [progress]: [ 130 / 132 ] simplifiying candidate # 24.816 * [simplify]: Simplifying (* 2 J) 24.816 * * [simplify]: iters left: 2 (3 enodes) 24.818 * * [simplify]: iters left: 1 (10 enodes) 24.822 * * [simplify]: Extracting #0: cost 1 inf + 0 24.822 * * [simplify]: Extracting #1: cost 4 inf + 0 24.822 * * [simplify]: Extracting #2: cost 2 inf + 2 24.822 * * [simplify]: Extracting #3: cost 0 inf + 86 24.822 * [simplify]: Simplified to (* 2 J) 24.822 * [simplify]: Simplified (2 1 2 2 2) to (λ (J K U) (* (hypot 1 (* U (/ 1 (* 2 J)))) (* (cos (/ K 2)) (* -2 J)))) 24.822 * * * * [progress]: [ 131 / 132 ] simplifiying candidate # 24.823 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 24.823 * * [simplify]: iters left: 6 (8 enodes) 24.827 * * [simplify]: iters left: 5 (29 enodes) 24.834 * * [simplify]: iters left: 4 (37 enodes) 24.840 * * [simplify]: iters left: 3 (42 enodes) 24.846 * * [simplify]: Extracting #0: cost 1 inf + 0 24.846 * * [simplify]: Extracting #1: cost 8 inf + 0 24.846 * * [simplify]: Extracting #2: cost 11 inf + 2 24.847 * * [simplify]: Extracting #3: cost 13 inf + 44 24.847 * * [simplify]: Extracting #4: cost 9 inf + 130 24.847 * * [simplify]: Extracting #5: cost 1 inf + 1132 24.847 * * [simplify]: Extracting #6: cost 0 inf + 1316 24.848 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 24.848 * [simplify]: Simplified (2 1 2 2 2) to (λ (J K U) (* (hypot 1 (* U (/ 1 (* (* (cos (* K 1/2)) 2) J)))) (* (cos (/ K 2)) (* -2 J)))) 24.848 * * * * [progress]: [ 132 / 132 ] simplifiying candidate # 24.848 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 24.848 * * [simplify]: iters left: 6 (8 enodes) 24.850 * * [simplify]: iters left: 5 (29 enodes) 24.855 * * [simplify]: iters left: 4 (37 enodes) 24.864 * * [simplify]: iters left: 3 (42 enodes) 24.876 * * [simplify]: Extracting #0: cost 1 inf + 0 24.876 * * [simplify]: Extracting #1: cost 8 inf + 0 24.876 * * [simplify]: Extracting #2: cost 11 inf + 2 24.876 * * [simplify]: Extracting #3: cost 13 inf + 44 24.876 * * [simplify]: Extracting #4: cost 9 inf + 130 24.877 * * [simplify]: Extracting #5: cost 1 inf + 1132 24.877 * * [simplify]: Extracting #6: cost 0 inf + 1316 24.878 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 24.878 * [simplify]: Simplified (2 1 2 2 2) to (λ (J K U) (* (hypot 1 (* U (/ 1 (* (* (cos (* K 1/2)) 2) J)))) (* (cos (/ K 2)) (* -2 J)))) 24.878 * * * [progress]: adding candidates to table 26.540 * * [progress]: iteration 3 / 4 26.540 * * * [progress]: picking best candidate 26.571 * * * * [pick]: Picked # 26.571 * * * [progress]: localizing error 26.603 * * * [progress]: generating rewritten candidates 26.603 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 26.604 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 26.605 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 26.675 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 26.806 * * * [progress]: generating series expansions 26.806 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 26.807 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) into (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) 26.807 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in (U J K) around 0 26.807 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 26.807 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 26.807 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 26.807 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 26.807 * [taylor]: Taking taylor expansion of (* 1 1) in K 26.807 * [taylor]: Taking taylor expansion of 1 in K 26.807 * [backup-simplify]: Simplify 1 into 1 26.807 * [taylor]: Taking taylor expansion of 1 in K 26.807 * [backup-simplify]: Simplify 1 into 1 26.807 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 26.807 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 26.807 * [taylor]: Taking taylor expansion of 1/2 in K 26.807 * [backup-simplify]: Simplify 1/2 into 1/2 26.807 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 26.807 * [taylor]: Taking taylor expansion of U in K 26.807 * [backup-simplify]: Simplify U into U 26.807 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 26.807 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 26.807 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 26.807 * [taylor]: Taking taylor expansion of 1/2 in K 26.807 * [backup-simplify]: Simplify 1/2 into 1/2 26.807 * [taylor]: Taking taylor expansion of K in K 26.807 * [backup-simplify]: Simplify 0 into 0 26.807 * [backup-simplify]: Simplify 1 into 1 26.808 * [backup-simplify]: Simplify (* 1/2 0) into 0 26.809 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 26.809 * [taylor]: Taking taylor expansion of J in K 26.809 * [backup-simplify]: Simplify J into J 26.809 * [backup-simplify]: Simplify (* 1 J) into J 26.809 * [backup-simplify]: Simplify (/ U J) into (/ U J) 26.809 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 26.809 * [taylor]: Taking taylor expansion of 1/2 in K 26.809 * [backup-simplify]: Simplify 1/2 into 1/2 26.809 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 26.809 * [taylor]: Taking taylor expansion of U in K 26.809 * [backup-simplify]: Simplify U into U 26.809 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 26.809 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 26.809 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 26.809 * [taylor]: Taking taylor expansion of 1/2 in K 26.809 * [backup-simplify]: Simplify 1/2 into 1/2 26.809 * [taylor]: Taking taylor expansion of K in K 26.809 * [backup-simplify]: Simplify 0 into 0 26.810 * [backup-simplify]: Simplify 1 into 1 26.810 * [backup-simplify]: Simplify (* 1/2 0) into 0 26.811 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 26.811 * [taylor]: Taking taylor expansion of J in K 26.811 * [backup-simplify]: Simplify J into J 26.811 * [backup-simplify]: Simplify (* 1 J) into J 26.811 * [backup-simplify]: Simplify (/ U J) into (/ U J) 26.811 * [backup-simplify]: Simplify (* 1 1) into 1 26.811 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 26.812 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 26.812 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 26.812 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 26.812 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 26.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.813 * [backup-simplify]: Simplify (+ 0) into 0 26.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 26.814 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 26.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 26.815 * [backup-simplify]: Simplify (+ 0) into 0 26.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 26.816 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 26.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 26.816 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 26.817 * [backup-simplify]: Simplify (+ 0 0) into 0 26.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 26.817 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 26.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 26.818 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 26.818 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 26.818 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 26.818 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 26.818 * [taylor]: Taking taylor expansion of (* 1 1) in J 26.818 * [taylor]: Taking taylor expansion of 1 in J 26.818 * [backup-simplify]: Simplify 1 into 1 26.818 * [taylor]: Taking taylor expansion of 1 in J 26.818 * [backup-simplify]: Simplify 1 into 1 26.818 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 26.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 26.818 * [taylor]: Taking taylor expansion of 1/2 in J 26.818 * [backup-simplify]: Simplify 1/2 into 1/2 26.818 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 26.818 * [taylor]: Taking taylor expansion of U in J 26.818 * [backup-simplify]: Simplify U into U 26.818 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 26.818 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 26.818 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 26.818 * [taylor]: Taking taylor expansion of 1/2 in J 26.818 * [backup-simplify]: Simplify 1/2 into 1/2 26.818 * [taylor]: Taking taylor expansion of K in J 26.818 * [backup-simplify]: Simplify K into K 26.818 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 26.819 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 26.819 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 26.819 * [taylor]: Taking taylor expansion of J in J 26.819 * [backup-simplify]: Simplify 0 into 0 26.819 * [backup-simplify]: Simplify 1 into 1 26.819 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 26.819 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 26.820 * [backup-simplify]: Simplify (- 0) into 0 26.820 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 26.820 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 26.820 * [backup-simplify]: Simplify (+ 0) into 0 26.821 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 26.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 26.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 26.822 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 26.823 * [backup-simplify]: Simplify (- 0) into 0 26.823 * [backup-simplify]: Simplify (+ 0 0) into 0 26.824 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 26.824 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 26.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 26.824 * [taylor]: Taking taylor expansion of 1/2 in J 26.824 * [backup-simplify]: Simplify 1/2 into 1/2 26.824 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 26.824 * [taylor]: Taking taylor expansion of U in J 26.824 * [backup-simplify]: Simplify U into U 26.824 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 26.824 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 26.824 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 26.824 * [taylor]: Taking taylor expansion of 1/2 in J 26.824 * [backup-simplify]: Simplify 1/2 into 1/2 26.824 * [taylor]: Taking taylor expansion of K in J 26.824 * [backup-simplify]: Simplify K into K 26.824 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 26.824 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 26.824 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 26.824 * [taylor]: Taking taylor expansion of J in J 26.824 * [backup-simplify]: Simplify 0 into 0 26.824 * [backup-simplify]: Simplify 1 into 1 26.824 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 26.825 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 26.825 * [backup-simplify]: Simplify (- 0) into 0 26.825 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 26.825 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 26.825 * [backup-simplify]: Simplify (+ 0) into 0 26.826 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 26.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 26.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 26.828 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 26.828 * [backup-simplify]: Simplify (- 0) into 0 26.828 * [backup-simplify]: Simplify (+ 0 0) into 0 26.829 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 26.829 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 26.829 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 26.829 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 26.829 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 26.830 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 26.830 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 26.831 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 26.832 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 26.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 26.833 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 26.834 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 26.834 * [backup-simplify]: Simplify (- 0) into 0 26.835 * [backup-simplify]: Simplify (+ 0 0) into 0 26.835 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 26.836 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 26.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 26.837 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 26.838 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 26.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 26.840 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 26.840 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 26.840 * [backup-simplify]: Simplify (- 0) into 0 26.841 * [backup-simplify]: Simplify (+ 0 0) into 0 26.842 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 26.842 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 26.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 26.843 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 26.845 * [backup-simplify]: Simplify (+ 0 0) into 0 26.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 26.846 * [backup-simplify]: Simplify (sqrt 0) into 0 26.847 * [backup-simplify]: Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K)))) 26.847 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 26.847 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 26.847 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 26.847 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 26.847 * [taylor]: Taking taylor expansion of (* 1 1) in U 26.847 * [taylor]: Taking taylor expansion of 1 in U 26.847 * [backup-simplify]: Simplify 1 into 1 26.847 * [taylor]: Taking taylor expansion of 1 in U 26.847 * [backup-simplify]: Simplify 1 into 1 26.847 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 26.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 26.847 * [taylor]: Taking taylor expansion of 1/2 in U 26.847 * [backup-simplify]: Simplify 1/2 into 1/2 26.847 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 26.847 * [taylor]: Taking taylor expansion of U in U 26.847 * [backup-simplify]: Simplify 0 into 0 26.847 * [backup-simplify]: Simplify 1 into 1 26.847 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 26.847 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 26.847 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 26.847 * [taylor]: Taking taylor expansion of 1/2 in U 26.847 * [backup-simplify]: Simplify 1/2 into 1/2 26.847 * [taylor]: Taking taylor expansion of K in U 26.847 * [backup-simplify]: Simplify K into K 26.848 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 26.848 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 26.848 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 26.848 * [taylor]: Taking taylor expansion of J in U 26.848 * [backup-simplify]: Simplify J into J 26.848 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 26.848 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 26.848 * [backup-simplify]: Simplify (- 0) into 0 26.848 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 26.849 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 26.849 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 26.849 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 26.849 * [taylor]: Taking taylor expansion of 1/2 in U 26.849 * [backup-simplify]: Simplify 1/2 into 1/2 26.849 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 26.849 * [taylor]: Taking taylor expansion of U in U 26.849 * [backup-simplify]: Simplify 0 into 0 26.849 * [backup-simplify]: Simplify 1 into 1 26.849 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 26.849 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 26.849 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 26.849 * [taylor]: Taking taylor expansion of 1/2 in U 26.849 * [backup-simplify]: Simplify 1/2 into 1/2 26.849 * [taylor]: Taking taylor expansion of K in U 26.849 * [backup-simplify]: Simplify K into K 26.849 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 26.849 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 26.849 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 26.849 * [taylor]: Taking taylor expansion of J in U 26.849 * [backup-simplify]: Simplify J into J 26.849 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 26.849 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 26.850 * [backup-simplify]: Simplify (- 0) into 0 26.850 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 26.850 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 26.850 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 26.851 * [backup-simplify]: Simplify (* 1 1) into 1 26.851 * [backup-simplify]: Simplify (+ 1 0) into 1 26.852 * [backup-simplify]: Simplify (sqrt 1) into 1 26.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.853 * [backup-simplify]: Simplify (+ 0 0) into 0 26.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 26.854 * [backup-simplify]: Simplify (sqrt 1) into 1 26.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 26.854 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 26.854 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 26.855 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 26.855 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 26.855 * [taylor]: Taking taylor expansion of (* 1 1) in U 26.855 * [taylor]: Taking taylor expansion of 1 in U 26.855 * [backup-simplify]: Simplify 1 into 1 26.855 * [taylor]: Taking taylor expansion of 1 in U 26.855 * [backup-simplify]: Simplify 1 into 1 26.855 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 26.855 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 26.855 * [taylor]: Taking taylor expansion of 1/2 in U 26.855 * [backup-simplify]: Simplify 1/2 into 1/2 26.855 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 26.855 * [taylor]: Taking taylor expansion of U in U 26.855 * [backup-simplify]: Simplify 0 into 0 26.855 * [backup-simplify]: Simplify 1 into 1 26.855 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 26.855 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 26.855 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 26.855 * [taylor]: Taking taylor expansion of 1/2 in U 26.855 * [backup-simplify]: Simplify 1/2 into 1/2 26.855 * [taylor]: Taking taylor expansion of K in U 26.855 * [backup-simplify]: Simplify K into K 26.855 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 26.855 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 26.855 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 26.855 * [taylor]: Taking taylor expansion of J in U 26.855 * [backup-simplify]: Simplify J into J 26.855 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 26.855 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 26.856 * [backup-simplify]: Simplify (- 0) into 0 26.856 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 26.856 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 26.856 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 26.856 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 26.856 * [taylor]: Taking taylor expansion of 1/2 in U 26.856 * [backup-simplify]: Simplify 1/2 into 1/2 26.856 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 26.856 * [taylor]: Taking taylor expansion of U in U 26.856 * [backup-simplify]: Simplify 0 into 0 26.856 * [backup-simplify]: Simplify 1 into 1 26.856 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 26.856 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 26.856 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 26.856 * [taylor]: Taking taylor expansion of 1/2 in U 26.856 * [backup-simplify]: Simplify 1/2 into 1/2 26.857 * [taylor]: Taking taylor expansion of K in U 26.857 * [backup-simplify]: Simplify K into K 26.857 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 26.857 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 26.857 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 26.857 * [taylor]: Taking taylor expansion of J in U 26.857 * [backup-simplify]: Simplify J into J 26.857 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 26.857 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 26.857 * [backup-simplify]: Simplify (- 0) into 0 26.857 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 26.857 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 26.858 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 26.858 * [backup-simplify]: Simplify (* 1 1) into 1 26.858 * [backup-simplify]: Simplify (+ 1 0) into 1 26.859 * [backup-simplify]: Simplify (sqrt 1) into 1 26.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.860 * [backup-simplify]: Simplify (+ 0 0) into 0 26.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 26.862 * [backup-simplify]: Simplify (sqrt 1) into 1 26.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 26.862 * [taylor]: Taking taylor expansion of 1 in J 26.862 * [backup-simplify]: Simplify 1 into 1 26.862 * [taylor]: Taking taylor expansion of 0 in J 26.863 * [backup-simplify]: Simplify 0 into 0 26.863 * [taylor]: Taking taylor expansion of 1 in K 26.863 * [backup-simplify]: Simplify 1 into 1 26.863 * [backup-simplify]: Simplify 1 into 1 26.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.864 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 26.864 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 26.864 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 26.864 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 26.866 * [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))) 26.867 * [backup-simplify]: Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 26.867 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 26.867 * [taylor]: Taking taylor expansion of 1/16 in J 26.867 * [backup-simplify]: Simplify 1/16 into 1/16 26.867 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 26.867 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 26.867 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 26.867 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 26.867 * [taylor]: Taking taylor expansion of 1/2 in J 26.867 * [backup-simplify]: Simplify 1/2 into 1/2 26.867 * [taylor]: Taking taylor expansion of K in J 26.868 * [backup-simplify]: Simplify K into K 26.868 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 26.868 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 26.868 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 26.868 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 26.868 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 26.868 * [backup-simplify]: Simplify (- 0) into 0 26.868 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 26.868 * [taylor]: Taking taylor expansion of (pow J 2) in J 26.868 * [taylor]: Taking taylor expansion of J in J 26.868 * [backup-simplify]: Simplify 0 into 0 26.868 * [backup-simplify]: Simplify 1 into 1 26.869 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 26.869 * [backup-simplify]: Simplify (* 1 1) into 1 26.869 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 26.870 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 26.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.871 * [backup-simplify]: Simplify (+ 0) into 0 26.871 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 26.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 26.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 26.873 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 26.873 * [backup-simplify]: Simplify (- 0) into 0 26.874 * [backup-simplify]: Simplify (+ 0 0) into 0 26.874 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 26.874 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 26.875 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 26.875 * [taylor]: Taking taylor expansion of 0 in K 26.875 * [backup-simplify]: Simplify 0 into 0 26.875 * [backup-simplify]: Simplify 0 into 0 26.875 * [taylor]: Taking taylor expansion of 0 in K 26.875 * [backup-simplify]: Simplify 0 into 0 26.875 * [backup-simplify]: Simplify 0 into 0 26.875 * [taylor]: Taking taylor expansion of 0 in K 26.875 * [backup-simplify]: Simplify 0 into 0 26.875 * [backup-simplify]: Simplify 0 into 0 26.875 * [backup-simplify]: Simplify 0 into 0 26.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.877 * [backup-simplify]: Simplify (+ 0) into 0 26.877 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 26.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 26.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 26.879 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 26.879 * [backup-simplify]: Simplify (- 0) into 0 26.880 * [backup-simplify]: Simplify (+ 0 0) into 0 26.880 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 26.880 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 26.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 26.881 * [backup-simplify]: Simplify (+ 0) into 0 26.881 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 26.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 26.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 26.883 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 26.884 * [backup-simplify]: Simplify (- 0) into 0 26.884 * [backup-simplify]: Simplify (+ 0 0) into 0 26.884 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 26.884 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 26.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 26.885 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 26.886 * [backup-simplify]: Simplify (+ 0 0) into 0 26.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 26.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 26.887 * [taylor]: Taking taylor expansion of 0 in J 26.887 * [backup-simplify]: Simplify 0 into 0 26.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.889 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 26.890 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 26.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 26.892 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 26.892 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 26.893 * [backup-simplify]: Simplify (- 0) into 0 26.893 * [backup-simplify]: Simplify (+ 0 0) into 0 26.893 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 26.894 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 26.895 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 26.895 * [taylor]: Taking taylor expansion of 0 in K 26.895 * [backup-simplify]: Simplify 0 into 0 26.895 * [backup-simplify]: Simplify 0 into 0 26.895 * [taylor]: Taking taylor expansion of 0 in K 26.895 * [backup-simplify]: Simplify 0 into 0 26.895 * [backup-simplify]: Simplify 0 into 0 26.895 * [backup-simplify]: Simplify 1 into 1 26.895 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))))) into (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 26.895 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in (U J K) around 0 26.895 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 26.895 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 26.895 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 26.895 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 26.896 * [taylor]: Taking taylor expansion of (* 1 1) in K 26.896 * [taylor]: Taking taylor expansion of 1 in K 26.896 * [backup-simplify]: Simplify 1 into 1 26.896 * [taylor]: Taking taylor expansion of 1 in K 26.896 * [backup-simplify]: Simplify 1 into 1 26.896 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 26.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 26.896 * [taylor]: Taking taylor expansion of 1/2 in K 26.896 * [backup-simplify]: Simplify 1/2 into 1/2 26.896 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 26.896 * [taylor]: Taking taylor expansion of J in K 26.896 * [backup-simplify]: Simplify J into J 26.896 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 26.896 * [taylor]: Taking taylor expansion of U in K 26.896 * [backup-simplify]: Simplify U into U 26.896 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 26.896 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 26.896 * [taylor]: Taking taylor expansion of 1/2 in K 26.896 * [backup-simplify]: Simplify 1/2 into 1/2 26.896 * [taylor]: Taking taylor expansion of K in K 26.896 * [backup-simplify]: Simplify 0 into 0 26.896 * [backup-simplify]: Simplify 1 into 1 26.897 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 26.897 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.897 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 26.897 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 26.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 26.897 * [taylor]: Taking taylor expansion of 1/2 in K 26.897 * [backup-simplify]: Simplify 1/2 into 1/2 26.897 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 26.897 * [taylor]: Taking taylor expansion of J in K 26.897 * [backup-simplify]: Simplify J into J 26.897 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 26.897 * [taylor]: Taking taylor expansion of U in K 26.897 * [backup-simplify]: Simplify U into U 26.897 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 26.897 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 26.897 * [taylor]: Taking taylor expansion of 1/2 in K 26.897 * [backup-simplify]: Simplify 1/2 into 1/2 26.897 * [taylor]: Taking taylor expansion of K in K 26.897 * [backup-simplify]: Simplify 0 into 0 26.897 * [backup-simplify]: Simplify 1 into 1 26.898 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 26.898 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.898 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 26.898 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 26.898 * [backup-simplify]: Simplify (* 1 1) into 1 26.899 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 26.899 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 26.899 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 26.899 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 26.900 * [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)) 26.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.901 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 26.901 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 26.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 26.902 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 26.902 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 26.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 26.903 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 26.903 * [backup-simplify]: Simplify (+ 0 0) into 0 26.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 26.904 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 26.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 26.905 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 26.905 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 26.905 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 26.905 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 26.905 * [taylor]: Taking taylor expansion of (* 1 1) in J 26.905 * [taylor]: Taking taylor expansion of 1 in J 26.905 * [backup-simplify]: Simplify 1 into 1 26.905 * [taylor]: Taking taylor expansion of 1 in J 26.905 * [backup-simplify]: Simplify 1 into 1 26.905 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 26.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 26.905 * [taylor]: Taking taylor expansion of 1/2 in J 26.905 * [backup-simplify]: Simplify 1/2 into 1/2 26.905 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 26.905 * [taylor]: Taking taylor expansion of J in J 26.905 * [backup-simplify]: Simplify 0 into 0 26.905 * [backup-simplify]: Simplify 1 into 1 26.905 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 26.905 * [taylor]: Taking taylor expansion of U in J 26.905 * [backup-simplify]: Simplify U into U 26.905 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 26.905 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 26.905 * [taylor]: Taking taylor expansion of 1/2 in J 26.905 * [backup-simplify]: Simplify 1/2 into 1/2 26.905 * [taylor]: Taking taylor expansion of K in J 26.905 * [backup-simplify]: Simplify K into K 26.905 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 26.906 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.906 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 26.906 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 26.906 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 26.906 * [backup-simplify]: Simplify (- 0) into 0 26.906 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 26.906 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 26.907 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 26.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 26.907 * [taylor]: Taking taylor expansion of 1/2 in J 26.907 * [backup-simplify]: Simplify 1/2 into 1/2 26.907 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 26.907 * [taylor]: Taking taylor expansion of J in J 26.907 * [backup-simplify]: Simplify 0 into 0 26.907 * [backup-simplify]: Simplify 1 into 1 26.907 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 26.907 * [taylor]: Taking taylor expansion of U in J 26.907 * [backup-simplify]: Simplify U into U 26.907 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 26.907 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 26.907 * [taylor]: Taking taylor expansion of 1/2 in J 26.907 * [backup-simplify]: Simplify 1/2 into 1/2 26.907 * [taylor]: Taking taylor expansion of K in J 26.907 * [backup-simplify]: Simplify K into K 26.907 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 26.907 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.907 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 26.907 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 26.907 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 26.908 * [backup-simplify]: Simplify (- 0) into 0 26.908 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 26.908 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 26.908 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 26.909 * [backup-simplify]: Simplify (* 1 1) into 1 26.909 * [backup-simplify]: Simplify (+ 1 0) into 1 26.909 * [backup-simplify]: Simplify (sqrt 1) into 1 26.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.910 * [backup-simplify]: Simplify (+ 0 0) into 0 26.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 26.912 * [backup-simplify]: Simplify (sqrt 1) into 1 26.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 26.912 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 26.912 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 26.912 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 26.912 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 26.913 * [taylor]: Taking taylor expansion of (* 1 1) in U 26.913 * [taylor]: Taking taylor expansion of 1 in U 26.913 * [backup-simplify]: Simplify 1 into 1 26.913 * [taylor]: Taking taylor expansion of 1 in U 26.913 * [backup-simplify]: Simplify 1 into 1 26.913 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 26.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 26.913 * [taylor]: Taking taylor expansion of 1/2 in U 26.913 * [backup-simplify]: Simplify 1/2 into 1/2 26.913 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 26.913 * [taylor]: Taking taylor expansion of J in U 26.913 * [backup-simplify]: Simplify J into J 26.913 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 26.913 * [taylor]: Taking taylor expansion of U in U 26.913 * [backup-simplify]: Simplify 0 into 0 26.913 * [backup-simplify]: Simplify 1 into 1 26.913 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 26.913 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 26.913 * [taylor]: Taking taylor expansion of 1/2 in U 26.913 * [backup-simplify]: Simplify 1/2 into 1/2 26.913 * [taylor]: Taking taylor expansion of K in U 26.913 * [backup-simplify]: Simplify K into K 26.913 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 26.913 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.913 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 26.913 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 26.913 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 26.914 * [backup-simplify]: Simplify (- 0) into 0 26.914 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 26.914 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 26.914 * [backup-simplify]: Simplify (+ 0) into 0 26.915 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 26.915 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 26.916 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 26.916 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 26.917 * [backup-simplify]: Simplify (- 0) into 0 26.917 * [backup-simplify]: Simplify (+ 0 0) into 0 26.918 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 26.918 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 26.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 26.918 * [taylor]: Taking taylor expansion of 1/2 in U 26.918 * [backup-simplify]: Simplify 1/2 into 1/2 26.918 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 26.918 * [taylor]: Taking taylor expansion of J in U 26.918 * [backup-simplify]: Simplify J into J 26.918 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 26.918 * [taylor]: Taking taylor expansion of U in U 26.918 * [backup-simplify]: Simplify 0 into 0 26.918 * [backup-simplify]: Simplify 1 into 1 26.918 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 26.918 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 26.918 * [taylor]: Taking taylor expansion of 1/2 in U 26.918 * [backup-simplify]: Simplify 1/2 into 1/2 26.918 * [taylor]: Taking taylor expansion of K in U 26.918 * [backup-simplify]: Simplify K into K 26.918 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 26.918 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.918 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 26.918 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 26.918 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 26.919 * [backup-simplify]: Simplify (- 0) into 0 26.919 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 26.919 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 26.920 * [backup-simplify]: Simplify (+ 0) into 0 26.920 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 26.920 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 26.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 26.922 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 26.922 * [backup-simplify]: Simplify (- 0) into 0 26.922 * [backup-simplify]: Simplify (+ 0 0) into 0 26.923 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 26.923 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 26.923 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 26.923 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 26.923 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 26.924 * [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))) 26.924 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 26.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 26.926 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 26.926 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 26.927 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 26.927 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 26.928 * [backup-simplify]: Simplify (- 0) into 0 26.928 * [backup-simplify]: Simplify (+ 0 0) into 0 26.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 26.929 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 26.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 26.931 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 26.931 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 26.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 26.933 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 26.933 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 26.934 * [backup-simplify]: Simplify (- 0) into 0 26.934 * [backup-simplify]: Simplify (+ 0 0) into 0 26.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 26.935 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 26.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 26.936 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 26.936 * [backup-simplify]: Simplify (+ 0 0) into 0 26.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 26.937 * [backup-simplify]: Simplify (sqrt 0) into 0 26.938 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 26.938 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 26.938 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 26.938 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 26.938 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 26.938 * [taylor]: Taking taylor expansion of (* 1 1) in U 26.938 * [taylor]: Taking taylor expansion of 1 in U 26.938 * [backup-simplify]: Simplify 1 into 1 26.938 * [taylor]: Taking taylor expansion of 1 in U 26.938 * [backup-simplify]: Simplify 1 into 1 26.938 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 26.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 26.938 * [taylor]: Taking taylor expansion of 1/2 in U 26.938 * [backup-simplify]: Simplify 1/2 into 1/2 26.938 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 26.938 * [taylor]: Taking taylor expansion of J in U 26.938 * [backup-simplify]: Simplify J into J 26.938 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 26.938 * [taylor]: Taking taylor expansion of U in U 26.938 * [backup-simplify]: Simplify 0 into 0 26.938 * [backup-simplify]: Simplify 1 into 1 26.938 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 26.938 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 26.939 * [taylor]: Taking taylor expansion of 1/2 in U 26.939 * [backup-simplify]: Simplify 1/2 into 1/2 26.939 * [taylor]: Taking taylor expansion of K in U 26.939 * [backup-simplify]: Simplify K into K 26.939 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 26.939 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.939 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 26.939 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 26.939 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 26.939 * [backup-simplify]: Simplify (- 0) into 0 26.940 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 26.940 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 26.940 * [backup-simplify]: Simplify (+ 0) into 0 26.941 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 26.941 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 26.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 26.942 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 26.942 * [backup-simplify]: Simplify (- 0) into 0 26.943 * [backup-simplify]: Simplify (+ 0 0) into 0 26.943 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 26.943 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 26.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 26.943 * [taylor]: Taking taylor expansion of 1/2 in U 26.944 * [backup-simplify]: Simplify 1/2 into 1/2 26.944 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 26.944 * [taylor]: Taking taylor expansion of J in U 26.944 * [backup-simplify]: Simplify J into J 26.944 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 26.944 * [taylor]: Taking taylor expansion of U in U 26.944 * [backup-simplify]: Simplify 0 into 0 26.944 * [backup-simplify]: Simplify 1 into 1 26.944 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 26.944 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 26.944 * [taylor]: Taking taylor expansion of 1/2 in U 26.944 * [backup-simplify]: Simplify 1/2 into 1/2 26.944 * [taylor]: Taking taylor expansion of K in U 26.944 * [backup-simplify]: Simplify K into K 26.944 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 26.944 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.944 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 26.944 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 26.944 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 26.945 * [backup-simplify]: Simplify (- 0) into 0 26.945 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 26.945 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 26.945 * [backup-simplify]: Simplify (+ 0) into 0 26.946 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 26.946 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 26.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 26.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 26.947 * [backup-simplify]: Simplify (- 0) into 0 26.948 * [backup-simplify]: Simplify (+ 0 0) into 0 26.948 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 26.948 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 26.949 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 26.949 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 26.949 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 26.949 * [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))) 26.949 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 26.950 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 26.951 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 26.951 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 26.952 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 26.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 26.953 * [backup-simplify]: Simplify (- 0) into 0 26.953 * [backup-simplify]: Simplify (+ 0 0) into 0 26.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 26.954 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 26.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 26.956 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 26.957 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 26.957 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 26.958 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 26.959 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 26.959 * [backup-simplify]: Simplify (- 0) into 0 26.959 * [backup-simplify]: Simplify (+ 0 0) into 0 26.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 26.960 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 26.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 26.961 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 26.962 * [backup-simplify]: Simplify (+ 0 0) into 0 26.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 26.962 * [backup-simplify]: Simplify (sqrt 0) into 0 26.963 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 26.963 * [taylor]: Taking taylor expansion of 0 in J 26.963 * [backup-simplify]: Simplify 0 into 0 26.963 * [taylor]: Taking taylor expansion of 0 in K 26.963 * [backup-simplify]: Simplify 0 into 0 26.963 * [backup-simplify]: Simplify 0 into 0 26.963 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ 1/2 K)))) in J 26.963 * [taylor]: Taking taylor expansion of +nan.0 in J 26.963 * [backup-simplify]: Simplify +nan.0 into +nan.0 26.963 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 26.963 * [taylor]: Taking taylor expansion of J in J 26.963 * [backup-simplify]: Simplify 0 into 0 26.963 * [backup-simplify]: Simplify 1 into 1 26.963 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 26.963 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 26.963 * [taylor]: Taking taylor expansion of 1/2 in J 26.964 * [backup-simplify]: Simplify 1/2 into 1/2 26.964 * [taylor]: Taking taylor expansion of K in J 26.964 * [backup-simplify]: Simplify K into K 26.964 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 26.964 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.964 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 26.964 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 26.964 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 26.964 * [backup-simplify]: Simplify (- 0) into 0 26.964 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 26.965 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 26.965 * [taylor]: Taking taylor expansion of 0 in K 26.965 * [backup-simplify]: Simplify 0 into 0 26.965 * [backup-simplify]: Simplify 0 into 0 26.965 * [backup-simplify]: Simplify 0 into 0 26.966 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 26.966 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 26.966 * [taylor]: Taking taylor expansion of +nan.0 in J 26.966 * [backup-simplify]: Simplify +nan.0 into +nan.0 26.966 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 26.966 * [taylor]: Taking taylor expansion of (pow J 2) in J 26.966 * [taylor]: Taking taylor expansion of J in J 26.966 * [backup-simplify]: Simplify 0 into 0 26.966 * [backup-simplify]: Simplify 1 into 1 26.966 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 26.966 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 26.966 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 26.966 * [taylor]: Taking taylor expansion of 1/2 in J 26.966 * [backup-simplify]: Simplify 1/2 into 1/2 26.966 * [taylor]: Taking taylor expansion of K in J 26.966 * [backup-simplify]: Simplify K into K 26.966 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 26.966 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.966 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 26.966 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 26.966 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 26.967 * [backup-simplify]: Simplify (- 0) into 0 26.967 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 26.967 * [backup-simplify]: Simplify (* 1 1) into 1 26.968 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 26.968 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 26.968 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (cos (/ 1/2 K)))) into (/ +nan.0 (cos (/ 1/2 K))) 26.968 * [taylor]: Taking taylor expansion of (/ +nan.0 (cos (/ 1/2 K))) in K 26.968 * [taylor]: Taking taylor expansion of +nan.0 in K 26.968 * [backup-simplify]: Simplify +nan.0 into +nan.0 26.968 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 26.968 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 26.968 * [taylor]: Taking taylor expansion of 1/2 in K 26.968 * [backup-simplify]: Simplify 1/2 into 1/2 26.968 * [taylor]: Taking taylor expansion of K in K 26.968 * [backup-simplify]: Simplify 0 into 0 26.968 * [backup-simplify]: Simplify 1 into 1 26.968 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 26.969 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.969 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) 26.969 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) 26.969 * [taylor]: Taking taylor expansion of 0 in K 26.969 * [backup-simplify]: Simplify 0 into 0 26.969 * [backup-simplify]: Simplify 0 into 0 26.969 * [backup-simplify]: Simplify 0 into 0 26.969 * [backup-simplify]: Simplify 0 into 0 26.969 * [backup-simplify]: Simplify (* 1 1) into 1 26.971 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 26.972 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.972 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 26.973 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 26.974 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 26.975 * [backup-simplify]: Simplify (- 0) into 0 26.975 * [backup-simplify]: Simplify (+ 0 0) into 0 26.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 26.976 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 26.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 26.978 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 26.979 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.979 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 26.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 26.982 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 26.982 * [backup-simplify]: Simplify (- 0) into 0 26.982 * [backup-simplify]: Simplify (+ 0 0) into 0 26.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 26.984 * [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 26.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 26.986 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 26.986 * [backup-simplify]: Simplify (+ 1 0) into 1 26.987 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 26.988 * [backup-simplify]: Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) 26.988 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) in J 26.988 * [taylor]: Taking taylor expansion of +nan.0 in J 26.988 * [backup-simplify]: Simplify +nan.0 into +nan.0 26.988 * [taylor]: Taking taylor expansion of (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))) in J 26.988 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 26.988 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 26.988 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 26.988 * [taylor]: Taking taylor expansion of 1/2 in J 26.988 * [backup-simplify]: Simplify 1/2 into 1/2 26.988 * [taylor]: Taking taylor expansion of K in J 26.988 * [backup-simplify]: Simplify K into K 26.988 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 26.988 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.989 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 26.989 * [taylor]: Taking taylor expansion of J in J 26.989 * [backup-simplify]: Simplify 0 into 0 26.989 * [backup-simplify]: Simplify 1 into 1 26.989 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 26.989 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 26.989 * [backup-simplify]: Simplify (- 0) into 0 26.989 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 26.989 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 26.989 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))) in J 26.989 * [taylor]: Taking taylor expansion of +nan.0 in J 26.989 * [backup-simplify]: Simplify +nan.0 into +nan.0 26.989 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)) in J 26.989 * [taylor]: Taking taylor expansion of (pow J 3) in J 26.990 * [taylor]: Taking taylor expansion of J in J 26.990 * [backup-simplify]: Simplify 0 into 0 26.990 * [backup-simplify]: Simplify 1 into 1 26.990 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in J 26.990 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 26.990 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 26.990 * [taylor]: Taking taylor expansion of 1/2 in J 26.990 * [backup-simplify]: Simplify 1/2 into 1/2 26.990 * [taylor]: Taking taylor expansion of K in J 26.990 * [backup-simplify]: Simplify K into K 26.990 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 26.990 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 26.990 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 26.990 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 26.990 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 26.991 * [backup-simplify]: Simplify (- 0) into 0 26.991 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 26.991 * [backup-simplify]: Simplify (* 1 1) into 1 26.991 * [backup-simplify]: Simplify (* 1 1) into 1 26.992 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 26.992 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3) 26.992 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 3)) into (/ 1 (pow (cos (/ 1/2 K)) 3)) 26.992 * [backup-simplify]: Simplify (+ 0) into 0 26.993 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 26.993 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 26.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 26.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 26.995 * [backup-simplify]: Simplify (- 0) into 0 26.995 * [backup-simplify]: Simplify (+ 0 0) into 0 26.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 26.998 * [backup-simplify]: Simplify (+ 0 0) into 0 26.999 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 26.999 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (cos (/ 1/2 K)))) into 0 26.999 * [taylor]: Taking taylor expansion of 0 in K 26.999 * [backup-simplify]: Simplify 0 into 0 26.999 * [backup-simplify]: Simplify 0 into 0 27.000 * [backup-simplify]: Simplify (+ 0) into 0 27.000 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.000 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.001 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.002 * [backup-simplify]: Simplify (- 0) into 0 27.002 * [backup-simplify]: Simplify (+ 0 0) into 0 27.002 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.003 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 27.003 * [taylor]: Taking taylor expansion of 0 in K 27.003 * [backup-simplify]: Simplify 0 into 0 27.003 * [backup-simplify]: Simplify 0 into 0 27.003 * [taylor]: Taking taylor expansion of 0 in K 27.003 * [backup-simplify]: Simplify 0 into 0 27.003 * [backup-simplify]: Simplify 0 into 0 27.003 * [backup-simplify]: Simplify (* (/ +nan.0 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) 27.004 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))))) into (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 27.004 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in (U J K) around 0 27.004 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 27.004 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 27.004 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.004 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 27.004 * [taylor]: Taking taylor expansion of (* 1 1) in K 27.004 * [taylor]: Taking taylor expansion of 1 in K 27.004 * [backup-simplify]: Simplify 1 into 1 27.004 * [taylor]: Taking taylor expansion of 1 in K 27.004 * [backup-simplify]: Simplify 1 into 1 27.004 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 27.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 27.004 * [taylor]: Taking taylor expansion of 1/2 in K 27.004 * [backup-simplify]: Simplify 1/2 into 1/2 27.004 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 27.004 * [taylor]: Taking taylor expansion of J in K 27.004 * [backup-simplify]: Simplify J into J 27.004 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 27.004 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 27.004 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 27.004 * [taylor]: Taking taylor expansion of -1/2 in K 27.004 * [backup-simplify]: Simplify -1/2 into -1/2 27.004 * [taylor]: Taking taylor expansion of K in K 27.004 * [backup-simplify]: Simplify 0 into 0 27.004 * [backup-simplify]: Simplify 1 into 1 27.005 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 27.005 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.005 * [taylor]: Taking taylor expansion of U in K 27.005 * [backup-simplify]: Simplify U into U 27.005 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.005 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 27.005 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 27.005 * [taylor]: Taking taylor expansion of 1/2 in K 27.005 * [backup-simplify]: Simplify 1/2 into 1/2 27.005 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 27.005 * [taylor]: Taking taylor expansion of J in K 27.005 * [backup-simplify]: Simplify J into J 27.005 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 27.005 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 27.005 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 27.006 * [taylor]: Taking taylor expansion of -1/2 in K 27.006 * [backup-simplify]: Simplify -1/2 into -1/2 27.006 * [taylor]: Taking taylor expansion of K in K 27.006 * [backup-simplify]: Simplify 0 into 0 27.006 * [backup-simplify]: Simplify 1 into 1 27.006 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 27.006 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.006 * [taylor]: Taking taylor expansion of U in K 27.006 * [backup-simplify]: Simplify U into U 27.006 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.006 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 27.007 * [backup-simplify]: Simplify (* 1 1) into 1 27.007 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 27.007 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 27.007 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 27.008 * [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))))) 27.008 * [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)))))) 27.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.009 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 27.009 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 27.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 27.010 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 27.010 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 27.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 27.011 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 27.012 * [backup-simplify]: Simplify (+ 0 0) into 0 27.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 27.012 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 27.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 27.013 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 27.013 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 27.013 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.013 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 27.013 * [taylor]: Taking taylor expansion of (* 1 1) in J 27.013 * [taylor]: Taking taylor expansion of 1 in J 27.013 * [backup-simplify]: Simplify 1 into 1 27.013 * [taylor]: Taking taylor expansion of 1 in J 27.013 * [backup-simplify]: Simplify 1 into 1 27.013 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 27.013 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 27.013 * [taylor]: Taking taylor expansion of 1/2 in J 27.013 * [backup-simplify]: Simplify 1/2 into 1/2 27.013 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 27.013 * [taylor]: Taking taylor expansion of J in J 27.013 * [backup-simplify]: Simplify 0 into 0 27.013 * [backup-simplify]: Simplify 1 into 1 27.014 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 27.014 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.014 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.014 * [taylor]: Taking taylor expansion of -1/2 in J 27.014 * [backup-simplify]: Simplify -1/2 into -1/2 27.014 * [taylor]: Taking taylor expansion of K in J 27.014 * [backup-simplify]: Simplify K into K 27.014 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.014 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.014 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.014 * [taylor]: Taking taylor expansion of U in J 27.014 * [backup-simplify]: Simplify U into U 27.014 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.014 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.014 * [backup-simplify]: Simplify (- 0) into 0 27.015 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.015 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.015 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 27.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 27.015 * [taylor]: Taking taylor expansion of 1/2 in J 27.015 * [backup-simplify]: Simplify 1/2 into 1/2 27.015 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 27.015 * [taylor]: Taking taylor expansion of J in J 27.015 * [backup-simplify]: Simplify 0 into 0 27.015 * [backup-simplify]: Simplify 1 into 1 27.015 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 27.015 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.015 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.015 * [taylor]: Taking taylor expansion of -1/2 in J 27.015 * [backup-simplify]: Simplify -1/2 into -1/2 27.015 * [taylor]: Taking taylor expansion of K in J 27.015 * [backup-simplify]: Simplify K into K 27.015 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.015 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.015 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.015 * [taylor]: Taking taylor expansion of U in J 27.015 * [backup-simplify]: Simplify U into U 27.016 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.016 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.016 * [backup-simplify]: Simplify (- 0) into 0 27.016 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.016 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.016 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 27.017 * [backup-simplify]: Simplify (* 1 1) into 1 27.017 * [backup-simplify]: Simplify (+ 1 0) into 1 27.018 * [backup-simplify]: Simplify (sqrt 1) into 1 27.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.019 * [backup-simplify]: Simplify (+ 0 0) into 0 27.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.020 * [backup-simplify]: Simplify (sqrt 1) into 1 27.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.021 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.021 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.021 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.021 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.021 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.021 * [taylor]: Taking taylor expansion of 1 in U 27.021 * [backup-simplify]: Simplify 1 into 1 27.021 * [taylor]: Taking taylor expansion of 1 in U 27.021 * [backup-simplify]: Simplify 1 into 1 27.021 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.021 * [taylor]: Taking taylor expansion of 1/2 in U 27.021 * [backup-simplify]: Simplify 1/2 into 1/2 27.021 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.021 * [taylor]: Taking taylor expansion of J in U 27.021 * [backup-simplify]: Simplify J into J 27.021 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.021 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.021 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.021 * [taylor]: Taking taylor expansion of -1/2 in U 27.021 * [backup-simplify]: Simplify -1/2 into -1/2 27.021 * [taylor]: Taking taylor expansion of K in U 27.021 * [backup-simplify]: Simplify K into K 27.021 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.021 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.021 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.022 * [taylor]: Taking taylor expansion of U in U 27.022 * [backup-simplify]: Simplify 0 into 0 27.022 * [backup-simplify]: Simplify 1 into 1 27.022 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.022 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.022 * [backup-simplify]: Simplify (- 0) into 0 27.022 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.022 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.023 * [backup-simplify]: Simplify (+ 0) into 0 27.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.023 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.024 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.025 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.025 * [backup-simplify]: Simplify (- 0) into 0 27.025 * [backup-simplify]: Simplify (+ 0 0) into 0 27.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.026 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.026 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.026 * [taylor]: Taking taylor expansion of 1/2 in U 27.026 * [backup-simplify]: Simplify 1/2 into 1/2 27.026 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.026 * [taylor]: Taking taylor expansion of J in U 27.026 * [backup-simplify]: Simplify J into J 27.026 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.026 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.026 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.026 * [taylor]: Taking taylor expansion of -1/2 in U 27.026 * [backup-simplify]: Simplify -1/2 into -1/2 27.026 * [taylor]: Taking taylor expansion of K in U 27.026 * [backup-simplify]: Simplify K into K 27.026 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.026 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.026 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.027 * [taylor]: Taking taylor expansion of U in U 27.027 * [backup-simplify]: Simplify 0 into 0 27.027 * [backup-simplify]: Simplify 1 into 1 27.027 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.027 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.027 * [backup-simplify]: Simplify (- 0) into 0 27.027 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.027 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.028 * [backup-simplify]: Simplify (+ 0) into 0 27.028 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.028 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.030 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.030 * [backup-simplify]: Simplify (- 0) into 0 27.031 * [backup-simplify]: Simplify (+ 0 0) into 0 27.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.031 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.031 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.031 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.032 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 27.032 * [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))) 27.032 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.033 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.034 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.034 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.035 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.036 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.036 * [backup-simplify]: Simplify (- 0) into 0 27.037 * [backup-simplify]: Simplify (+ 0 0) into 0 27.037 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.038 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.039 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.040 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.040 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.041 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.041 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.042 * [backup-simplify]: Simplify (- 0) into 0 27.042 * [backup-simplify]: Simplify (+ 0 0) into 0 27.043 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.043 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.044 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 27.044 * [backup-simplify]: Simplify (+ 0 0) into 0 27.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 27.045 * [backup-simplify]: Simplify (sqrt 0) into 0 27.046 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 27.046 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.046 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.046 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.046 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.046 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.046 * [taylor]: Taking taylor expansion of 1 in U 27.046 * [backup-simplify]: Simplify 1 into 1 27.046 * [taylor]: Taking taylor expansion of 1 in U 27.046 * [backup-simplify]: Simplify 1 into 1 27.046 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.046 * [taylor]: Taking taylor expansion of 1/2 in U 27.046 * [backup-simplify]: Simplify 1/2 into 1/2 27.046 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.046 * [taylor]: Taking taylor expansion of J in U 27.046 * [backup-simplify]: Simplify J into J 27.046 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.046 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.046 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.046 * [taylor]: Taking taylor expansion of -1/2 in U 27.046 * [backup-simplify]: Simplify -1/2 into -1/2 27.046 * [taylor]: Taking taylor expansion of K in U 27.046 * [backup-simplify]: Simplify K into K 27.046 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.046 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.046 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.046 * [taylor]: Taking taylor expansion of U in U 27.046 * [backup-simplify]: Simplify 0 into 0 27.046 * [backup-simplify]: Simplify 1 into 1 27.047 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.047 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.047 * [backup-simplify]: Simplify (- 0) into 0 27.047 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.047 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.048 * [backup-simplify]: Simplify (+ 0) into 0 27.048 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.048 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.049 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.050 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.050 * [backup-simplify]: Simplify (- 0) into 0 27.050 * [backup-simplify]: Simplify (+ 0 0) into 0 27.051 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.051 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.051 * [taylor]: Taking taylor expansion of 1/2 in U 27.051 * [backup-simplify]: Simplify 1/2 into 1/2 27.051 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.051 * [taylor]: Taking taylor expansion of J in U 27.051 * [backup-simplify]: Simplify J into J 27.051 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.051 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.051 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.051 * [taylor]: Taking taylor expansion of -1/2 in U 27.051 * [backup-simplify]: Simplify -1/2 into -1/2 27.051 * [taylor]: Taking taylor expansion of K in U 27.051 * [backup-simplify]: Simplify K into K 27.051 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.051 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.051 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.051 * [taylor]: Taking taylor expansion of U in U 27.052 * [backup-simplify]: Simplify 0 into 0 27.052 * [backup-simplify]: Simplify 1 into 1 27.052 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.052 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.052 * [backup-simplify]: Simplify (- 0) into 0 27.052 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.052 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.053 * [backup-simplify]: Simplify (+ 0) into 0 27.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.053 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.054 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.055 * [backup-simplify]: Simplify (- 0) into 0 27.055 * [backup-simplify]: Simplify (+ 0 0) into 0 27.056 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.056 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.056 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.056 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.056 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 27.056 * [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))) 27.057 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.058 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.059 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.060 * [backup-simplify]: Simplify (- 0) into 0 27.061 * [backup-simplify]: Simplify (+ 0 0) into 0 27.062 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.062 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.064 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.064 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.065 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.066 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.066 * [backup-simplify]: Simplify (- 0) into 0 27.067 * [backup-simplify]: Simplify (+ 0 0) into 0 27.067 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.068 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.069 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 27.069 * [backup-simplify]: Simplify (+ 0 0) into 0 27.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 27.070 * [backup-simplify]: Simplify (sqrt 0) into 0 27.070 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 27.071 * [taylor]: Taking taylor expansion of 0 in J 27.071 * [backup-simplify]: Simplify 0 into 0 27.071 * [taylor]: Taking taylor expansion of 0 in K 27.071 * [backup-simplify]: Simplify 0 into 0 27.071 * [backup-simplify]: Simplify 0 into 0 27.071 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ -1/2 K)))) in J 27.071 * [taylor]: Taking taylor expansion of +nan.0 in J 27.071 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.071 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 27.071 * [taylor]: Taking taylor expansion of J in J 27.071 * [backup-simplify]: Simplify 0 into 0 27.071 * [backup-simplify]: Simplify 1 into 1 27.071 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.071 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.071 * [taylor]: Taking taylor expansion of -1/2 in J 27.071 * [backup-simplify]: Simplify -1/2 into -1/2 27.071 * [taylor]: Taking taylor expansion of K in J 27.071 * [backup-simplify]: Simplify K into K 27.071 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.071 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.071 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.071 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.071 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.072 * [backup-simplify]: Simplify (- 0) into 0 27.072 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.072 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 27.072 * [taylor]: Taking taylor expansion of 0 in K 27.072 * [backup-simplify]: Simplify 0 into 0 27.072 * [backup-simplify]: Simplify 0 into 0 27.072 * [backup-simplify]: Simplify 0 into 0 27.073 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 27.073 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 27.073 * [taylor]: Taking taylor expansion of +nan.0 in J 27.073 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.073 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 27.073 * [taylor]: Taking taylor expansion of (pow J 2) in J 27.073 * [taylor]: Taking taylor expansion of J in J 27.073 * [backup-simplify]: Simplify 0 into 0 27.073 * [backup-simplify]: Simplify 1 into 1 27.073 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 27.073 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.073 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.073 * [taylor]: Taking taylor expansion of -1/2 in J 27.074 * [backup-simplify]: Simplify -1/2 into -1/2 27.074 * [taylor]: Taking taylor expansion of K in J 27.074 * [backup-simplify]: Simplify K into K 27.074 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.074 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.074 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.074 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.074 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.074 * [backup-simplify]: Simplify (- 0) into 0 27.074 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.075 * [backup-simplify]: Simplify (* 1 1) into 1 27.075 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 27.075 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 27.075 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (cos (/ -1/2 K)))) into (/ +nan.0 (cos (/ -1/2 K))) 27.075 * [taylor]: Taking taylor expansion of (/ +nan.0 (cos (/ -1/2 K))) in K 27.075 * [taylor]: Taking taylor expansion of +nan.0 in K 27.075 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.075 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 27.075 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 27.075 * [taylor]: Taking taylor expansion of -1/2 in K 27.075 * [backup-simplify]: Simplify -1/2 into -1/2 27.075 * [taylor]: Taking taylor expansion of K in K 27.075 * [backup-simplify]: Simplify 0 into 0 27.075 * [backup-simplify]: Simplify 1 into 1 27.076 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 27.076 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.076 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) 27.076 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) 27.076 * [taylor]: Taking taylor expansion of 0 in K 27.076 * [backup-simplify]: Simplify 0 into 0 27.076 * [backup-simplify]: Simplify 0 into 0 27.076 * [backup-simplify]: Simplify 0 into 0 27.076 * [backup-simplify]: Simplify 0 into 0 27.077 * [backup-simplify]: Simplify (* 1 1) into 1 27.078 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.079 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.079 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.081 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.082 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.082 * [backup-simplify]: Simplify (- 0) into 0 27.082 * [backup-simplify]: Simplify (+ 0 0) into 0 27.083 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.084 * [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 27.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 27.085 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.086 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.087 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.088 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.089 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.089 * [backup-simplify]: Simplify (- 0) into 0 27.090 * [backup-simplify]: Simplify (+ 0 0) into 0 27.090 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.091 * [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 27.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 27.092 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 27.092 * [backup-simplify]: Simplify (+ 1 0) into 1 27.093 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 27.093 * [backup-simplify]: Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) 27.093 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) in J 27.093 * [taylor]: Taking taylor expansion of +nan.0 in J 27.093 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.093 * [taylor]: Taking taylor expansion of (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))) in J 27.093 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 27.093 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.093 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.093 * [taylor]: Taking taylor expansion of -1/2 in J 27.093 * [backup-simplify]: Simplify -1/2 into -1/2 27.093 * [taylor]: Taking taylor expansion of K in J 27.093 * [backup-simplify]: Simplify K into K 27.093 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.094 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.094 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.094 * [taylor]: Taking taylor expansion of J in J 27.094 * [backup-simplify]: Simplify 0 into 0 27.094 * [backup-simplify]: Simplify 1 into 1 27.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.094 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.094 * [backup-simplify]: Simplify (- 0) into 0 27.094 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.094 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.094 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))) in J 27.094 * [taylor]: Taking taylor expansion of +nan.0 in J 27.094 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.094 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)) in J 27.094 * [taylor]: Taking taylor expansion of (pow J 3) in J 27.094 * [taylor]: Taking taylor expansion of J in J 27.094 * [backup-simplify]: Simplify 0 into 0 27.094 * [backup-simplify]: Simplify 1 into 1 27.094 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in J 27.094 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.094 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.094 * [taylor]: Taking taylor expansion of -1/2 in J 27.094 * [backup-simplify]: Simplify -1/2 into -1/2 27.094 * [taylor]: Taking taylor expansion of K in J 27.094 * [backup-simplify]: Simplify K into K 27.094 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.094 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.094 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.095 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.095 * [backup-simplify]: Simplify (- 0) into 0 27.095 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.095 * [backup-simplify]: Simplify (* 1 1) into 1 27.095 * [backup-simplify]: Simplify (* 1 1) into 1 27.095 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 27.095 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3) 27.096 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 3)) into (/ 1 (pow (cos (/ -1/2 K)) 3)) 27.096 * [backup-simplify]: Simplify (+ 0) into 0 27.096 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.096 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.097 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.097 * [backup-simplify]: Simplify (- 0) into 0 27.097 * [backup-simplify]: Simplify (+ 0 0) into 0 27.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 27.098 * [backup-simplify]: Simplify (+ 0 0) into 0 27.098 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.099 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (cos (/ -1/2 K)))) into 0 27.099 * [taylor]: Taking taylor expansion of 0 in K 27.099 * [backup-simplify]: Simplify 0 into 0 27.099 * [backup-simplify]: Simplify 0 into 0 27.099 * [backup-simplify]: Simplify (+ 0) into 0 27.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.100 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.100 * [backup-simplify]: Simplify (- 0) into 0 27.101 * [backup-simplify]: Simplify (+ 0 0) into 0 27.101 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.101 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 27.101 * [taylor]: Taking taylor expansion of 0 in K 27.101 * [backup-simplify]: Simplify 0 into 0 27.101 * [backup-simplify]: Simplify 0 into 0 27.101 * [taylor]: Taking taylor expansion of 0 in K 27.101 * [backup-simplify]: Simplify 0 into 0 27.101 * [backup-simplify]: Simplify 0 into 0 27.101 * [backup-simplify]: Simplify (* (/ +nan.0 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) 27.101 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 27.102 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) into (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) 27.102 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in (U J K) around 0 27.102 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 27.102 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 27.102 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 27.102 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 27.102 * [taylor]: Taking taylor expansion of (* 1 1) in K 27.102 * [taylor]: Taking taylor expansion of 1 in K 27.102 * [backup-simplify]: Simplify 1 into 1 27.102 * [taylor]: Taking taylor expansion of 1 in K 27.102 * [backup-simplify]: Simplify 1 into 1 27.102 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 27.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 27.102 * [taylor]: Taking taylor expansion of 1/2 in K 27.102 * [backup-simplify]: Simplify 1/2 into 1/2 27.102 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 27.102 * [taylor]: Taking taylor expansion of U in K 27.102 * [backup-simplify]: Simplify U into U 27.102 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 27.102 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 27.102 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 27.102 * [taylor]: Taking taylor expansion of 1/2 in K 27.102 * [backup-simplify]: Simplify 1/2 into 1/2 27.102 * [taylor]: Taking taylor expansion of K in K 27.102 * [backup-simplify]: Simplify 0 into 0 27.102 * [backup-simplify]: Simplify 1 into 1 27.102 * [backup-simplify]: Simplify (* 1/2 0) into 0 27.103 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 27.103 * [taylor]: Taking taylor expansion of J in K 27.103 * [backup-simplify]: Simplify J into J 27.103 * [backup-simplify]: Simplify (* 1 J) into J 27.103 * [backup-simplify]: Simplify (/ U J) into (/ U J) 27.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 27.103 * [taylor]: Taking taylor expansion of 1/2 in K 27.103 * [backup-simplify]: Simplify 1/2 into 1/2 27.103 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 27.103 * [taylor]: Taking taylor expansion of U in K 27.103 * [backup-simplify]: Simplify U into U 27.103 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 27.103 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 27.103 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 27.103 * [taylor]: Taking taylor expansion of 1/2 in K 27.103 * [backup-simplify]: Simplify 1/2 into 1/2 27.103 * [taylor]: Taking taylor expansion of K in K 27.103 * [backup-simplify]: Simplify 0 into 0 27.103 * [backup-simplify]: Simplify 1 into 1 27.103 * [backup-simplify]: Simplify (* 1/2 0) into 0 27.104 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 27.104 * [taylor]: Taking taylor expansion of J in K 27.104 * [backup-simplify]: Simplify J into J 27.104 * [backup-simplify]: Simplify (* 1 J) into J 27.104 * [backup-simplify]: Simplify (/ U J) into (/ U J) 27.104 * [backup-simplify]: Simplify (* 1 1) into 1 27.104 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 27.104 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 27.104 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 27.104 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 27.105 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 27.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.105 * [backup-simplify]: Simplify (+ 0) into 0 27.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 27.106 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 27.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 27.106 * [backup-simplify]: Simplify (+ 0) into 0 27.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 27.107 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 27.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 27.107 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 27.107 * [backup-simplify]: Simplify (+ 0 0) into 0 27.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 27.108 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 27.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 27.108 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 27.108 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 27.108 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 27.108 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 27.108 * [taylor]: Taking taylor expansion of (* 1 1) in J 27.108 * [taylor]: Taking taylor expansion of 1 in J 27.108 * [backup-simplify]: Simplify 1 into 1 27.108 * [taylor]: Taking taylor expansion of 1 in J 27.108 * [backup-simplify]: Simplify 1 into 1 27.108 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 27.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 27.108 * [taylor]: Taking taylor expansion of 1/2 in J 27.108 * [backup-simplify]: Simplify 1/2 into 1/2 27.108 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 27.108 * [taylor]: Taking taylor expansion of U in J 27.108 * [backup-simplify]: Simplify U into U 27.108 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 27.108 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.108 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.108 * [taylor]: Taking taylor expansion of 1/2 in J 27.108 * [backup-simplify]: Simplify 1/2 into 1/2 27.108 * [taylor]: Taking taylor expansion of K in J 27.108 * [backup-simplify]: Simplify K into K 27.108 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.108 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.108 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.108 * [taylor]: Taking taylor expansion of J in J 27.108 * [backup-simplify]: Simplify 0 into 0 27.108 * [backup-simplify]: Simplify 1 into 1 27.108 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.108 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.109 * [backup-simplify]: Simplify (- 0) into 0 27.109 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.109 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 27.109 * [backup-simplify]: Simplify (+ 0) into 0 27.109 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.110 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.110 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.111 * [backup-simplify]: Simplify (- 0) into 0 27.111 * [backup-simplify]: Simplify (+ 0 0) into 0 27.111 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 27.111 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 27.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 27.111 * [taylor]: Taking taylor expansion of 1/2 in J 27.111 * [backup-simplify]: Simplify 1/2 into 1/2 27.111 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 27.111 * [taylor]: Taking taylor expansion of U in J 27.111 * [backup-simplify]: Simplify U into U 27.111 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 27.111 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.111 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.111 * [taylor]: Taking taylor expansion of 1/2 in J 27.111 * [backup-simplify]: Simplify 1/2 into 1/2 27.111 * [taylor]: Taking taylor expansion of K in J 27.112 * [backup-simplify]: Simplify K into K 27.112 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.112 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.112 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.112 * [taylor]: Taking taylor expansion of J in J 27.112 * [backup-simplify]: Simplify 0 into 0 27.112 * [backup-simplify]: Simplify 1 into 1 27.112 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.112 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.112 * [backup-simplify]: Simplify (- 0) into 0 27.112 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.112 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 27.113 * [backup-simplify]: Simplify (+ 0) into 0 27.113 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.114 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.114 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.114 * [backup-simplify]: Simplify (- 0) into 0 27.114 * [backup-simplify]: Simplify (+ 0 0) into 0 27.115 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 27.115 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 27.115 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 27.115 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 27.115 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 27.115 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 27.115 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 27.116 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.116 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.118 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.118 * [backup-simplify]: Simplify (- 0) into 0 27.118 * [backup-simplify]: Simplify (+ 0 0) into 0 27.119 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.119 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 27.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 27.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.120 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.121 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.122 * [backup-simplify]: Simplify (- 0) into 0 27.122 * [backup-simplify]: Simplify (+ 0 0) into 0 27.122 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.123 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 27.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 27.123 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 27.123 * [backup-simplify]: Simplify (+ 0 0) into 0 27.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 27.124 * [backup-simplify]: Simplify (sqrt 0) into 0 27.124 * [backup-simplify]: Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K)))) 27.124 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 27.124 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 27.124 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 27.124 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 27.124 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.124 * [taylor]: Taking taylor expansion of 1 in U 27.124 * [backup-simplify]: Simplify 1 into 1 27.124 * [taylor]: Taking taylor expansion of 1 in U 27.124 * [backup-simplify]: Simplify 1 into 1 27.124 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 27.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 27.124 * [taylor]: Taking taylor expansion of 1/2 in U 27.124 * [backup-simplify]: Simplify 1/2 into 1/2 27.124 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 27.124 * [taylor]: Taking taylor expansion of U in U 27.124 * [backup-simplify]: Simplify 0 into 0 27.124 * [backup-simplify]: Simplify 1 into 1 27.124 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.124 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.124 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.124 * [taylor]: Taking taylor expansion of 1/2 in U 27.124 * [backup-simplify]: Simplify 1/2 into 1/2 27.124 * [taylor]: Taking taylor expansion of K in U 27.124 * [backup-simplify]: Simplify K into K 27.125 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.125 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.125 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.125 * [taylor]: Taking taylor expansion of J in U 27.125 * [backup-simplify]: Simplify J into J 27.125 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.125 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.125 * [backup-simplify]: Simplify (- 0) into 0 27.125 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.125 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.125 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 27.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 27.125 * [taylor]: Taking taylor expansion of 1/2 in U 27.125 * [backup-simplify]: Simplify 1/2 into 1/2 27.125 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 27.125 * [taylor]: Taking taylor expansion of U in U 27.125 * [backup-simplify]: Simplify 0 into 0 27.125 * [backup-simplify]: Simplify 1 into 1 27.125 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.125 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.125 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.125 * [taylor]: Taking taylor expansion of 1/2 in U 27.125 * [backup-simplify]: Simplify 1/2 into 1/2 27.125 * [taylor]: Taking taylor expansion of K in U 27.125 * [backup-simplify]: Simplify K into K 27.125 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.125 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.125 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.126 * [taylor]: Taking taylor expansion of J in U 27.126 * [backup-simplify]: Simplify J into J 27.126 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.126 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.127 * [backup-simplify]: Simplify (- 0) into 0 27.127 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.127 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.127 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 27.128 * [backup-simplify]: Simplify (* 1 1) into 1 27.128 * [backup-simplify]: Simplify (+ 1 0) into 1 27.128 * [backup-simplify]: Simplify (sqrt 1) into 1 27.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.129 * [backup-simplify]: Simplify (+ 0 0) into 0 27.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.129 * [backup-simplify]: Simplify (sqrt 1) into 1 27.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.130 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 27.130 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 27.130 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 27.130 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 27.130 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.130 * [taylor]: Taking taylor expansion of 1 in U 27.130 * [backup-simplify]: Simplify 1 into 1 27.130 * [taylor]: Taking taylor expansion of 1 in U 27.130 * [backup-simplify]: Simplify 1 into 1 27.130 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 27.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 27.130 * [taylor]: Taking taylor expansion of 1/2 in U 27.130 * [backup-simplify]: Simplify 1/2 into 1/2 27.130 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 27.130 * [taylor]: Taking taylor expansion of U in U 27.130 * [backup-simplify]: Simplify 0 into 0 27.130 * [backup-simplify]: Simplify 1 into 1 27.130 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.130 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.130 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.130 * [taylor]: Taking taylor expansion of 1/2 in U 27.130 * [backup-simplify]: Simplify 1/2 into 1/2 27.130 * [taylor]: Taking taylor expansion of K in U 27.130 * [backup-simplify]: Simplify K into K 27.130 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.130 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.130 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.130 * [taylor]: Taking taylor expansion of J in U 27.130 * [backup-simplify]: Simplify J into J 27.130 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.130 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.131 * [backup-simplify]: Simplify (- 0) into 0 27.131 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.131 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.131 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 27.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 27.131 * [taylor]: Taking taylor expansion of 1/2 in U 27.131 * [backup-simplify]: Simplify 1/2 into 1/2 27.131 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 27.131 * [taylor]: Taking taylor expansion of U in U 27.131 * [backup-simplify]: Simplify 0 into 0 27.131 * [backup-simplify]: Simplify 1 into 1 27.131 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.131 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.131 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.131 * [taylor]: Taking taylor expansion of 1/2 in U 27.131 * [backup-simplify]: Simplify 1/2 into 1/2 27.131 * [taylor]: Taking taylor expansion of K in U 27.131 * [backup-simplify]: Simplify K into K 27.131 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.131 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.131 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.131 * [taylor]: Taking taylor expansion of J in U 27.131 * [backup-simplify]: Simplify J into J 27.132 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.132 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.132 * [backup-simplify]: Simplify (- 0) into 0 27.132 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.132 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.132 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 27.132 * [backup-simplify]: Simplify (* 1 1) into 1 27.133 * [backup-simplify]: Simplify (+ 1 0) into 1 27.133 * [backup-simplify]: Simplify (sqrt 1) into 1 27.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.133 * [backup-simplify]: Simplify (+ 0 0) into 0 27.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.134 * [backup-simplify]: Simplify (sqrt 1) into 1 27.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.135 * [taylor]: Taking taylor expansion of 1 in J 27.135 * [backup-simplify]: Simplify 1 into 1 27.135 * [taylor]: Taking taylor expansion of 0 in J 27.135 * [backup-simplify]: Simplify 0 into 0 27.135 * [taylor]: Taking taylor expansion of 1 in K 27.135 * [backup-simplify]: Simplify 1 into 1 27.135 * [backup-simplify]: Simplify 1 into 1 27.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.136 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 27.136 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 27.136 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 27.136 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 27.138 * [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))) 27.139 * [backup-simplify]: Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 27.139 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 27.139 * [taylor]: Taking taylor expansion of 1/16 in J 27.139 * [backup-simplify]: Simplify 1/16 into 1/16 27.139 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 27.139 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 27.139 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.139 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.139 * [taylor]: Taking taylor expansion of 1/2 in J 27.139 * [backup-simplify]: Simplify 1/2 into 1/2 27.139 * [taylor]: Taking taylor expansion of K in J 27.139 * [backup-simplify]: Simplify K into K 27.139 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.139 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.140 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.140 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.140 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.140 * [backup-simplify]: Simplify (- 0) into 0 27.140 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.140 * [taylor]: Taking taylor expansion of (pow J 2) in J 27.140 * [taylor]: Taking taylor expansion of J in J 27.140 * [backup-simplify]: Simplify 0 into 0 27.140 * [backup-simplify]: Simplify 1 into 1 27.140 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 27.141 * [backup-simplify]: Simplify (* 1 1) into 1 27.141 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 27.141 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 27.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.142 * [backup-simplify]: Simplify (+ 0) into 0 27.143 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.144 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.144 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.145 * [backup-simplify]: Simplify (- 0) into 0 27.145 * [backup-simplify]: Simplify (+ 0 0) into 0 27.145 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 27.146 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 27.146 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 27.146 * [taylor]: Taking taylor expansion of 0 in K 27.146 * [backup-simplify]: Simplify 0 into 0 27.146 * [backup-simplify]: Simplify 0 into 0 27.146 * [taylor]: Taking taylor expansion of 0 in K 27.146 * [backup-simplify]: Simplify 0 into 0 27.146 * [backup-simplify]: Simplify 0 into 0 27.146 * [taylor]: Taking taylor expansion of 0 in K 27.146 * [backup-simplify]: Simplify 0 into 0 27.146 * [backup-simplify]: Simplify 0 into 0 27.146 * [backup-simplify]: Simplify 0 into 0 27.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.148 * [backup-simplify]: Simplify (+ 0) into 0 27.148 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.150 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.150 * [backup-simplify]: Simplify (- 0) into 0 27.151 * [backup-simplify]: Simplify (+ 0 0) into 0 27.151 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 27.151 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 27.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 27.152 * [backup-simplify]: Simplify (+ 0) into 0 27.153 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.155 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.155 * [backup-simplify]: Simplify (- 0) into 0 27.155 * [backup-simplify]: Simplify (+ 0 0) into 0 27.155 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 27.156 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 27.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 27.157 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 27.157 * [backup-simplify]: Simplify (+ 0 0) into 0 27.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 27.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 27.159 * [taylor]: Taking taylor expansion of 0 in J 27.159 * [backup-simplify]: Simplify 0 into 0 27.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.161 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.161 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.163 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.163 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.164 * [backup-simplify]: Simplify (- 0) into 0 27.164 * [backup-simplify]: Simplify (+ 0 0) into 0 27.165 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 27.165 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 27.166 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 27.166 * [taylor]: Taking taylor expansion of 0 in K 27.166 * [backup-simplify]: Simplify 0 into 0 27.166 * [backup-simplify]: Simplify 0 into 0 27.166 * [taylor]: Taking taylor expansion of 0 in K 27.166 * [backup-simplify]: Simplify 0 into 0 27.166 * [backup-simplify]: Simplify 0 into 0 27.166 * [backup-simplify]: Simplify 1 into 1 27.166 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))))) into (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 27.166 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in (U J K) around 0 27.166 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 27.166 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 27.166 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 27.167 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 27.167 * [taylor]: Taking taylor expansion of (* 1 1) in K 27.167 * [taylor]: Taking taylor expansion of 1 in K 27.167 * [backup-simplify]: Simplify 1 into 1 27.167 * [taylor]: Taking taylor expansion of 1 in K 27.167 * [backup-simplify]: Simplify 1 into 1 27.167 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 27.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 27.167 * [taylor]: Taking taylor expansion of 1/2 in K 27.167 * [backup-simplify]: Simplify 1/2 into 1/2 27.167 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 27.167 * [taylor]: Taking taylor expansion of J in K 27.167 * [backup-simplify]: Simplify J into J 27.167 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 27.167 * [taylor]: Taking taylor expansion of U in K 27.167 * [backup-simplify]: Simplify U into U 27.167 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 27.167 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 27.167 * [taylor]: Taking taylor expansion of 1/2 in K 27.167 * [backup-simplify]: Simplify 1/2 into 1/2 27.167 * [taylor]: Taking taylor expansion of K in K 27.167 * [backup-simplify]: Simplify 0 into 0 27.167 * [backup-simplify]: Simplify 1 into 1 27.168 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 27.168 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.168 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 27.168 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 27.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 27.168 * [taylor]: Taking taylor expansion of 1/2 in K 27.168 * [backup-simplify]: Simplify 1/2 into 1/2 27.168 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 27.168 * [taylor]: Taking taylor expansion of J in K 27.168 * [backup-simplify]: Simplify J into J 27.168 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 27.168 * [taylor]: Taking taylor expansion of U in K 27.168 * [backup-simplify]: Simplify U into U 27.168 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 27.168 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 27.168 * [taylor]: Taking taylor expansion of 1/2 in K 27.168 * [backup-simplify]: Simplify 1/2 into 1/2 27.168 * [taylor]: Taking taylor expansion of K in K 27.168 * [backup-simplify]: Simplify 0 into 0 27.168 * [backup-simplify]: Simplify 1 into 1 27.169 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 27.169 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.169 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 27.169 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 27.170 * [backup-simplify]: Simplify (* 1 1) into 1 27.170 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 27.170 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 27.170 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 27.170 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 27.171 * [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)) 27.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.172 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 27.172 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 27.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 27.173 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 27.173 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 27.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 27.174 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 27.174 * [backup-simplify]: Simplify (+ 0 0) into 0 27.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 27.175 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 27.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 27.176 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 27.176 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 27.176 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 27.176 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 27.176 * [taylor]: Taking taylor expansion of (* 1 1) in J 27.176 * [taylor]: Taking taylor expansion of 1 in J 27.176 * [backup-simplify]: Simplify 1 into 1 27.176 * [taylor]: Taking taylor expansion of 1 in J 27.176 * [backup-simplify]: Simplify 1 into 1 27.176 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 27.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 27.176 * [taylor]: Taking taylor expansion of 1/2 in J 27.176 * [backup-simplify]: Simplify 1/2 into 1/2 27.176 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 27.176 * [taylor]: Taking taylor expansion of J in J 27.176 * [backup-simplify]: Simplify 0 into 0 27.176 * [backup-simplify]: Simplify 1 into 1 27.176 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 27.176 * [taylor]: Taking taylor expansion of U in J 27.176 * [backup-simplify]: Simplify U into U 27.176 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.176 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.176 * [taylor]: Taking taylor expansion of 1/2 in J 27.176 * [backup-simplify]: Simplify 1/2 into 1/2 27.176 * [taylor]: Taking taylor expansion of K in J 27.176 * [backup-simplify]: Simplify K into K 27.176 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.177 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.177 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.177 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.177 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.177 * [backup-simplify]: Simplify (- 0) into 0 27.177 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.177 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 27.177 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 27.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 27.178 * [taylor]: Taking taylor expansion of 1/2 in J 27.178 * [backup-simplify]: Simplify 1/2 into 1/2 27.178 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 27.178 * [taylor]: Taking taylor expansion of J in J 27.178 * [backup-simplify]: Simplify 0 into 0 27.178 * [backup-simplify]: Simplify 1 into 1 27.178 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 27.178 * [taylor]: Taking taylor expansion of U in J 27.178 * [backup-simplify]: Simplify U into U 27.178 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.178 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.178 * [taylor]: Taking taylor expansion of 1/2 in J 27.178 * [backup-simplify]: Simplify 1/2 into 1/2 27.178 * [taylor]: Taking taylor expansion of K in J 27.178 * [backup-simplify]: Simplify K into K 27.178 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.178 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.178 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.178 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.178 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.179 * [backup-simplify]: Simplify (- 0) into 0 27.179 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.179 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 27.179 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 27.179 * [backup-simplify]: Simplify (* 1 1) into 1 27.180 * [backup-simplify]: Simplify (+ 1 0) into 1 27.180 * [backup-simplify]: Simplify (sqrt 1) into 1 27.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.182 * [backup-simplify]: Simplify (+ 0 0) into 0 27.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.183 * [backup-simplify]: Simplify (sqrt 1) into 1 27.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.184 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 27.184 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 27.184 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 27.184 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 27.184 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.184 * [taylor]: Taking taylor expansion of 1 in U 27.184 * [backup-simplify]: Simplify 1 into 1 27.184 * [taylor]: Taking taylor expansion of 1 in U 27.184 * [backup-simplify]: Simplify 1 into 1 27.184 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 27.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 27.184 * [taylor]: Taking taylor expansion of 1/2 in U 27.184 * [backup-simplify]: Simplify 1/2 into 1/2 27.184 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 27.184 * [taylor]: Taking taylor expansion of J in U 27.184 * [backup-simplify]: Simplify J into J 27.184 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 27.184 * [taylor]: Taking taylor expansion of U in U 27.184 * [backup-simplify]: Simplify 0 into 0 27.184 * [backup-simplify]: Simplify 1 into 1 27.184 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.184 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.184 * [taylor]: Taking taylor expansion of 1/2 in U 27.184 * [backup-simplify]: Simplify 1/2 into 1/2 27.184 * [taylor]: Taking taylor expansion of K in U 27.184 * [backup-simplify]: Simplify K into K 27.184 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.184 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.184 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.185 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.185 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.185 * [backup-simplify]: Simplify (- 0) into 0 27.185 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.185 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 27.186 * [backup-simplify]: Simplify (+ 0) into 0 27.186 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.186 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.188 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.188 * [backup-simplify]: Simplify (- 0) into 0 27.188 * [backup-simplify]: Simplify (+ 0 0) into 0 27.189 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 27.189 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 27.189 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 27.189 * [taylor]: Taking taylor expansion of 1/2 in U 27.189 * [backup-simplify]: Simplify 1/2 into 1/2 27.189 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 27.189 * [taylor]: Taking taylor expansion of J in U 27.189 * [backup-simplify]: Simplify J into J 27.189 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 27.189 * [taylor]: Taking taylor expansion of U in U 27.189 * [backup-simplify]: Simplify 0 into 0 27.189 * [backup-simplify]: Simplify 1 into 1 27.189 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.189 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.189 * [taylor]: Taking taylor expansion of 1/2 in U 27.189 * [backup-simplify]: Simplify 1/2 into 1/2 27.189 * [taylor]: Taking taylor expansion of K in U 27.189 * [backup-simplify]: Simplify K into K 27.189 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.189 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.189 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.189 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.190 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.190 * [backup-simplify]: Simplify (- 0) into 0 27.190 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.190 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 27.191 * [backup-simplify]: Simplify (+ 0) into 0 27.191 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.191 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.192 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.193 * [backup-simplify]: Simplify (- 0) into 0 27.193 * [backup-simplify]: Simplify (+ 0 0) into 0 27.194 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 27.194 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 27.194 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.194 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.194 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 27.194 * [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))) 27.195 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.195 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.196 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.196 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.197 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.198 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.198 * [backup-simplify]: Simplify (- 0) into 0 27.198 * [backup-simplify]: Simplify (+ 0 0) into 0 27.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 27.200 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 27.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.202 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.202 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.203 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.204 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.204 * [backup-simplify]: Simplify (- 0) into 0 27.204 * [backup-simplify]: Simplify (+ 0 0) into 0 27.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 27.205 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 27.206 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 27.207 * [backup-simplify]: Simplify (+ 0 0) into 0 27.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 27.207 * [backup-simplify]: Simplify (sqrt 0) into 0 27.208 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 27.208 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 27.208 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 27.208 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 27.208 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 27.208 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.208 * [taylor]: Taking taylor expansion of 1 in U 27.208 * [backup-simplify]: Simplify 1 into 1 27.208 * [taylor]: Taking taylor expansion of 1 in U 27.208 * [backup-simplify]: Simplify 1 into 1 27.208 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 27.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 27.209 * [taylor]: Taking taylor expansion of 1/2 in U 27.209 * [backup-simplify]: Simplify 1/2 into 1/2 27.209 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 27.209 * [taylor]: Taking taylor expansion of J in U 27.209 * [backup-simplify]: Simplify J into J 27.209 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 27.209 * [taylor]: Taking taylor expansion of U in U 27.209 * [backup-simplify]: Simplify 0 into 0 27.209 * [backup-simplify]: Simplify 1 into 1 27.209 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.209 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.209 * [taylor]: Taking taylor expansion of 1/2 in U 27.209 * [backup-simplify]: Simplify 1/2 into 1/2 27.209 * [taylor]: Taking taylor expansion of K in U 27.209 * [backup-simplify]: Simplify K into K 27.209 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.209 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.209 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.209 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.209 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.210 * [backup-simplify]: Simplify (- 0) into 0 27.210 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.210 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 27.210 * [backup-simplify]: Simplify (+ 0) into 0 27.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.211 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.213 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.213 * [backup-simplify]: Simplify (- 0) into 0 27.213 * [backup-simplify]: Simplify (+ 0 0) into 0 27.214 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 27.214 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 27.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 27.214 * [taylor]: Taking taylor expansion of 1/2 in U 27.214 * [backup-simplify]: Simplify 1/2 into 1/2 27.214 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 27.214 * [taylor]: Taking taylor expansion of J in U 27.214 * [backup-simplify]: Simplify J into J 27.214 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 27.214 * [taylor]: Taking taylor expansion of U in U 27.214 * [backup-simplify]: Simplify 0 into 0 27.214 * [backup-simplify]: Simplify 1 into 1 27.214 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.214 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.214 * [taylor]: Taking taylor expansion of 1/2 in U 27.214 * [backup-simplify]: Simplify 1/2 into 1/2 27.214 * [taylor]: Taking taylor expansion of K in U 27.214 * [backup-simplify]: Simplify K into K 27.214 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.215 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.215 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.215 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.215 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.215 * [backup-simplify]: Simplify (- 0) into 0 27.215 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.215 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 27.216 * [backup-simplify]: Simplify (+ 0) into 0 27.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.216 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.218 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.218 * [backup-simplify]: Simplify (- 0) into 0 27.218 * [backup-simplify]: Simplify (+ 0 0) into 0 27.219 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 27.219 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 27.219 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.219 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.219 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 27.219 * [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))) 27.220 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.220 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.221 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.221 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.221 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.222 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.222 * [backup-simplify]: Simplify (- 0) into 0 27.222 * [backup-simplify]: Simplify (+ 0 0) into 0 27.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 27.223 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 27.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.224 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.224 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.225 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.225 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.225 * [backup-simplify]: Simplify (- 0) into 0 27.225 * [backup-simplify]: Simplify (+ 0 0) into 0 27.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 27.226 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 27.227 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 27.227 * [backup-simplify]: Simplify (+ 0 0) into 0 27.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 27.227 * [backup-simplify]: Simplify (sqrt 0) into 0 27.228 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 27.228 * [taylor]: Taking taylor expansion of 0 in J 27.228 * [backup-simplify]: Simplify 0 into 0 27.228 * [taylor]: Taking taylor expansion of 0 in K 27.228 * [backup-simplify]: Simplify 0 into 0 27.228 * [backup-simplify]: Simplify 0 into 0 27.228 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ 1/2 K)))) in J 27.228 * [taylor]: Taking taylor expansion of +nan.0 in J 27.228 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.228 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 27.228 * [taylor]: Taking taylor expansion of J in J 27.228 * [backup-simplify]: Simplify 0 into 0 27.228 * [backup-simplify]: Simplify 1 into 1 27.228 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.228 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.228 * [taylor]: Taking taylor expansion of 1/2 in J 27.228 * [backup-simplify]: Simplify 1/2 into 1/2 27.228 * [taylor]: Taking taylor expansion of K in J 27.228 * [backup-simplify]: Simplify K into K 27.228 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.228 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.228 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.228 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.228 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.229 * [backup-simplify]: Simplify (- 0) into 0 27.229 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.229 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 27.229 * [taylor]: Taking taylor expansion of 0 in K 27.229 * [backup-simplify]: Simplify 0 into 0 27.229 * [backup-simplify]: Simplify 0 into 0 27.229 * [backup-simplify]: Simplify 0 into 0 27.229 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 27.229 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 27.229 * [taylor]: Taking taylor expansion of +nan.0 in J 27.229 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.229 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 27.229 * [taylor]: Taking taylor expansion of (pow J 2) in J 27.229 * [taylor]: Taking taylor expansion of J in J 27.230 * [backup-simplify]: Simplify 0 into 0 27.230 * [backup-simplify]: Simplify 1 into 1 27.230 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 27.230 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.230 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.230 * [taylor]: Taking taylor expansion of 1/2 in J 27.230 * [backup-simplify]: Simplify 1/2 into 1/2 27.230 * [taylor]: Taking taylor expansion of K in J 27.230 * [backup-simplify]: Simplify K into K 27.230 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.230 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.230 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.230 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.230 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.230 * [backup-simplify]: Simplify (- 0) into 0 27.230 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.230 * [backup-simplify]: Simplify (* 1 1) into 1 27.230 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 27.231 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 27.231 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (cos (/ 1/2 K)))) into (/ +nan.0 (cos (/ 1/2 K))) 27.231 * [taylor]: Taking taylor expansion of (/ +nan.0 (cos (/ 1/2 K))) in K 27.231 * [taylor]: Taking taylor expansion of +nan.0 in K 27.231 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.231 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 27.231 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 27.231 * [taylor]: Taking taylor expansion of 1/2 in K 27.231 * [backup-simplify]: Simplify 1/2 into 1/2 27.231 * [taylor]: Taking taylor expansion of K in K 27.231 * [backup-simplify]: Simplify 0 into 0 27.231 * [backup-simplify]: Simplify 1 into 1 27.231 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 27.231 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.231 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) 27.231 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) 27.231 * [taylor]: Taking taylor expansion of 0 in K 27.231 * [backup-simplify]: Simplify 0 into 0 27.231 * [backup-simplify]: Simplify 0 into 0 27.231 * [backup-simplify]: Simplify 0 into 0 27.231 * [backup-simplify]: Simplify 0 into 0 27.232 * [backup-simplify]: Simplify (* 1 1) into 1 27.232 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.233 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.233 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.234 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.234 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.234 * [backup-simplify]: Simplify (- 0) into 0 27.235 * [backup-simplify]: Simplify (+ 0 0) into 0 27.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 27.236 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 27.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 27.237 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.237 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.237 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.238 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.239 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.239 * [backup-simplify]: Simplify (- 0) into 0 27.239 * [backup-simplify]: Simplify (+ 0 0) into 0 27.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 27.240 * [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 27.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 27.242 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 27.242 * [backup-simplify]: Simplify (+ 1 0) into 1 27.242 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 27.243 * [backup-simplify]: Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) 27.243 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) in J 27.243 * [taylor]: Taking taylor expansion of +nan.0 in J 27.243 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.243 * [taylor]: Taking taylor expansion of (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))) in J 27.243 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 27.243 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.243 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.243 * [taylor]: Taking taylor expansion of 1/2 in J 27.243 * [backup-simplify]: Simplify 1/2 into 1/2 27.243 * [taylor]: Taking taylor expansion of K in J 27.243 * [backup-simplify]: Simplify K into K 27.243 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.244 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.244 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.244 * [taylor]: Taking taylor expansion of J in J 27.244 * [backup-simplify]: Simplify 0 into 0 27.244 * [backup-simplify]: Simplify 1 into 1 27.244 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.244 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.244 * [backup-simplify]: Simplify (- 0) into 0 27.244 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.244 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.244 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))) in J 27.244 * [taylor]: Taking taylor expansion of +nan.0 in J 27.244 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.244 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)) in J 27.244 * [taylor]: Taking taylor expansion of (pow J 3) in J 27.244 * [taylor]: Taking taylor expansion of J in J 27.244 * [backup-simplify]: Simplify 0 into 0 27.244 * [backup-simplify]: Simplify 1 into 1 27.244 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in J 27.244 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.244 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.244 * [taylor]: Taking taylor expansion of 1/2 in J 27.244 * [backup-simplify]: Simplify 1/2 into 1/2 27.244 * [taylor]: Taking taylor expansion of K in J 27.244 * [backup-simplify]: Simplify K into K 27.244 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.245 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.245 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.245 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.245 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.245 * [backup-simplify]: Simplify (- 0) into 0 27.245 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.245 * [backup-simplify]: Simplify (* 1 1) into 1 27.246 * [backup-simplify]: Simplify (* 1 1) into 1 27.246 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 27.246 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3) 27.246 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 3)) into (/ 1 (pow (cos (/ 1/2 K)) 3)) 27.246 * [backup-simplify]: Simplify (+ 0) into 0 27.247 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.247 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.248 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.248 * [backup-simplify]: Simplify (- 0) into 0 27.248 * [backup-simplify]: Simplify (+ 0 0) into 0 27.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 27.249 * [backup-simplify]: Simplify (+ 0 0) into 0 27.249 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.249 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (cos (/ 1/2 K)))) into 0 27.249 * [taylor]: Taking taylor expansion of 0 in K 27.249 * [backup-simplify]: Simplify 0 into 0 27.249 * [backup-simplify]: Simplify 0 into 0 27.250 * [backup-simplify]: Simplify (+ 0) into 0 27.250 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.250 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.251 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.251 * [backup-simplify]: Simplify (- 0) into 0 27.252 * [backup-simplify]: Simplify (+ 0 0) into 0 27.253 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.253 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 27.253 * [taylor]: Taking taylor expansion of 0 in K 27.253 * [backup-simplify]: Simplify 0 into 0 27.253 * [backup-simplify]: Simplify 0 into 0 27.253 * [taylor]: Taking taylor expansion of 0 in K 27.253 * [backup-simplify]: Simplify 0 into 0 27.253 * [backup-simplify]: Simplify 0 into 0 27.253 * [backup-simplify]: Simplify (* (/ +nan.0 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) 27.254 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))))) into (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 27.254 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in (U J K) around 0 27.254 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 27.254 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 27.254 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.254 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 27.254 * [taylor]: Taking taylor expansion of (* 1 1) in K 27.254 * [taylor]: Taking taylor expansion of 1 in K 27.254 * [backup-simplify]: Simplify 1 into 1 27.254 * [taylor]: Taking taylor expansion of 1 in K 27.254 * [backup-simplify]: Simplify 1 into 1 27.254 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 27.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 27.254 * [taylor]: Taking taylor expansion of 1/2 in K 27.254 * [backup-simplify]: Simplify 1/2 into 1/2 27.254 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 27.254 * [taylor]: Taking taylor expansion of J in K 27.254 * [backup-simplify]: Simplify J into J 27.254 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 27.254 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 27.254 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 27.254 * [taylor]: Taking taylor expansion of -1/2 in K 27.254 * [backup-simplify]: Simplify -1/2 into -1/2 27.254 * [taylor]: Taking taylor expansion of K in K 27.254 * [backup-simplify]: Simplify 0 into 0 27.254 * [backup-simplify]: Simplify 1 into 1 27.254 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 27.254 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.254 * [taylor]: Taking taylor expansion of U in K 27.254 * [backup-simplify]: Simplify U into U 27.254 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.255 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 27.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 27.255 * [taylor]: Taking taylor expansion of 1/2 in K 27.255 * [backup-simplify]: Simplify 1/2 into 1/2 27.255 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 27.255 * [taylor]: Taking taylor expansion of J in K 27.255 * [backup-simplify]: Simplify J into J 27.255 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 27.255 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 27.255 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 27.255 * [taylor]: Taking taylor expansion of -1/2 in K 27.255 * [backup-simplify]: Simplify -1/2 into -1/2 27.255 * [taylor]: Taking taylor expansion of K in K 27.255 * [backup-simplify]: Simplify 0 into 0 27.255 * [backup-simplify]: Simplify 1 into 1 27.255 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 27.255 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.255 * [taylor]: Taking taylor expansion of U in K 27.255 * [backup-simplify]: Simplify U into U 27.255 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.255 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 27.255 * [backup-simplify]: Simplify (* 1 1) into 1 27.256 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 27.256 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 27.256 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 27.256 * [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))))) 27.256 * [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)))))) 27.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 27.257 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 27.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 27.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 27.258 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 27.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 27.258 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 27.258 * [backup-simplify]: Simplify (+ 0 0) into 0 27.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 27.259 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 27.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 27.259 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 27.259 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 27.259 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.259 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 27.259 * [taylor]: Taking taylor expansion of (* 1 1) in J 27.259 * [taylor]: Taking taylor expansion of 1 in J 27.259 * [backup-simplify]: Simplify 1 into 1 27.259 * [taylor]: Taking taylor expansion of 1 in J 27.259 * [backup-simplify]: Simplify 1 into 1 27.259 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 27.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 27.259 * [taylor]: Taking taylor expansion of 1/2 in J 27.259 * [backup-simplify]: Simplify 1/2 into 1/2 27.259 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 27.259 * [taylor]: Taking taylor expansion of J in J 27.259 * [backup-simplify]: Simplify 0 into 0 27.259 * [backup-simplify]: Simplify 1 into 1 27.259 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 27.260 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.260 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.260 * [taylor]: Taking taylor expansion of -1/2 in J 27.260 * [backup-simplify]: Simplify -1/2 into -1/2 27.260 * [taylor]: Taking taylor expansion of K in J 27.260 * [backup-simplify]: Simplify K into K 27.260 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.260 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.260 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.260 * [taylor]: Taking taylor expansion of U in J 27.260 * [backup-simplify]: Simplify U into U 27.260 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.260 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.260 * [backup-simplify]: Simplify (- 0) into 0 27.260 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.260 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.260 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 27.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 27.260 * [taylor]: Taking taylor expansion of 1/2 in J 27.260 * [backup-simplify]: Simplify 1/2 into 1/2 27.260 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 27.260 * [taylor]: Taking taylor expansion of J in J 27.260 * [backup-simplify]: Simplify 0 into 0 27.260 * [backup-simplify]: Simplify 1 into 1 27.260 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 27.260 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.260 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.260 * [taylor]: Taking taylor expansion of -1/2 in J 27.260 * [backup-simplify]: Simplify -1/2 into -1/2 27.260 * [taylor]: Taking taylor expansion of K in J 27.260 * [backup-simplify]: Simplify K into K 27.261 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.261 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.261 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.261 * [taylor]: Taking taylor expansion of U in J 27.261 * [backup-simplify]: Simplify U into U 27.261 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.261 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.261 * [backup-simplify]: Simplify (- 0) into 0 27.261 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.261 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.261 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 27.261 * [backup-simplify]: Simplify (* 1 1) into 1 27.262 * [backup-simplify]: Simplify (+ 1 0) into 1 27.262 * [backup-simplify]: Simplify (sqrt 1) into 1 27.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.263 * [backup-simplify]: Simplify (+ 0 0) into 0 27.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.263 * [backup-simplify]: Simplify (sqrt 1) into 1 27.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.264 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.264 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.264 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.264 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.264 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.264 * [taylor]: Taking taylor expansion of 1 in U 27.264 * [backup-simplify]: Simplify 1 into 1 27.264 * [taylor]: Taking taylor expansion of 1 in U 27.264 * [backup-simplify]: Simplify 1 into 1 27.264 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.264 * [taylor]: Taking taylor expansion of 1/2 in U 27.264 * [backup-simplify]: Simplify 1/2 into 1/2 27.264 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.264 * [taylor]: Taking taylor expansion of J in U 27.264 * [backup-simplify]: Simplify J into J 27.264 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.264 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.264 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.264 * [taylor]: Taking taylor expansion of -1/2 in U 27.264 * [backup-simplify]: Simplify -1/2 into -1/2 27.264 * [taylor]: Taking taylor expansion of K in U 27.264 * [backup-simplify]: Simplify K into K 27.264 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.264 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.264 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.264 * [taylor]: Taking taylor expansion of U in U 27.264 * [backup-simplify]: Simplify 0 into 0 27.264 * [backup-simplify]: Simplify 1 into 1 27.264 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.264 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.265 * [backup-simplify]: Simplify (- 0) into 0 27.265 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.265 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.265 * [backup-simplify]: Simplify (+ 0) into 0 27.265 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.265 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.266 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.266 * [backup-simplify]: Simplify (- 0) into 0 27.267 * [backup-simplify]: Simplify (+ 0 0) into 0 27.267 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.267 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.267 * [taylor]: Taking taylor expansion of 1/2 in U 27.267 * [backup-simplify]: Simplify 1/2 into 1/2 27.267 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.267 * [taylor]: Taking taylor expansion of J in U 27.267 * [backup-simplify]: Simplify J into J 27.267 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.267 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.267 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.267 * [taylor]: Taking taylor expansion of -1/2 in U 27.267 * [backup-simplify]: Simplify -1/2 into -1/2 27.267 * [taylor]: Taking taylor expansion of K in U 27.267 * [backup-simplify]: Simplify K into K 27.267 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.267 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.267 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.267 * [taylor]: Taking taylor expansion of U in U 27.267 * [backup-simplify]: Simplify 0 into 0 27.267 * [backup-simplify]: Simplify 1 into 1 27.267 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.267 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.268 * [backup-simplify]: Simplify (- 0) into 0 27.268 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.268 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.268 * [backup-simplify]: Simplify (+ 0) into 0 27.268 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.269 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.269 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.270 * [backup-simplify]: Simplify (- 0) into 0 27.270 * [backup-simplify]: Simplify (+ 0 0) into 0 27.270 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.270 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.270 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.270 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.270 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 27.271 * [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))) 27.271 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.271 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.272 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.272 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.272 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.273 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.273 * [backup-simplify]: Simplify (- 0) into 0 27.273 * [backup-simplify]: Simplify (+ 0 0) into 0 27.274 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.274 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.275 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.276 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.276 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.276 * [backup-simplify]: Simplify (- 0) into 0 27.276 * [backup-simplify]: Simplify (+ 0 0) into 0 27.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.277 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.278 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 27.278 * [backup-simplify]: Simplify (+ 0 0) into 0 27.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 27.278 * [backup-simplify]: Simplify (sqrt 0) into 0 27.279 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 27.279 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.279 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.279 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.279 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.279 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.279 * [taylor]: Taking taylor expansion of 1 in U 27.279 * [backup-simplify]: Simplify 1 into 1 27.279 * [taylor]: Taking taylor expansion of 1 in U 27.279 * [backup-simplify]: Simplify 1 into 1 27.279 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.279 * [taylor]: Taking taylor expansion of 1/2 in U 27.279 * [backup-simplify]: Simplify 1/2 into 1/2 27.279 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.279 * [taylor]: Taking taylor expansion of J in U 27.279 * [backup-simplify]: Simplify J into J 27.279 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.279 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.279 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.279 * [taylor]: Taking taylor expansion of -1/2 in U 27.279 * [backup-simplify]: Simplify -1/2 into -1/2 27.279 * [taylor]: Taking taylor expansion of K in U 27.279 * [backup-simplify]: Simplify K into K 27.279 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.279 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.279 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.279 * [taylor]: Taking taylor expansion of U in U 27.279 * [backup-simplify]: Simplify 0 into 0 27.279 * [backup-simplify]: Simplify 1 into 1 27.279 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.279 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.280 * [backup-simplify]: Simplify (- 0) into 0 27.280 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.280 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.280 * [backup-simplify]: Simplify (+ 0) into 0 27.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.280 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.281 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.281 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.281 * [backup-simplify]: Simplify (- 0) into 0 27.282 * [backup-simplify]: Simplify (+ 0 0) into 0 27.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.282 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.282 * [taylor]: Taking taylor expansion of 1/2 in U 27.282 * [backup-simplify]: Simplify 1/2 into 1/2 27.282 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.282 * [taylor]: Taking taylor expansion of J in U 27.282 * [backup-simplify]: Simplify J into J 27.282 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.282 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.282 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.282 * [taylor]: Taking taylor expansion of -1/2 in U 27.282 * [backup-simplify]: Simplify -1/2 into -1/2 27.282 * [taylor]: Taking taylor expansion of K in U 27.282 * [backup-simplify]: Simplify K into K 27.282 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.282 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.282 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.282 * [taylor]: Taking taylor expansion of U in U 27.282 * [backup-simplify]: Simplify 0 into 0 27.282 * [backup-simplify]: Simplify 1 into 1 27.282 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.283 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.283 * [backup-simplify]: Simplify (- 0) into 0 27.283 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.283 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.283 * [backup-simplify]: Simplify (+ 0) into 0 27.284 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.284 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.284 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.285 * [backup-simplify]: Simplify (- 0) into 0 27.285 * [backup-simplify]: Simplify (+ 0 0) into 0 27.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.285 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.285 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.286 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.286 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 27.286 * [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))) 27.286 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.287 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.287 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.287 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.288 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.288 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.288 * [backup-simplify]: Simplify (- 0) into 0 27.289 * [backup-simplify]: Simplify (+ 0 0) into 0 27.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.289 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.291 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.291 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.292 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.292 * [backup-simplify]: Simplify (- 0) into 0 27.292 * [backup-simplify]: Simplify (+ 0 0) into 0 27.293 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.293 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.293 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 27.294 * [backup-simplify]: Simplify (+ 0 0) into 0 27.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 27.294 * [backup-simplify]: Simplify (sqrt 0) into 0 27.295 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 27.295 * [taylor]: Taking taylor expansion of 0 in J 27.295 * [backup-simplify]: Simplify 0 into 0 27.295 * [taylor]: Taking taylor expansion of 0 in K 27.295 * [backup-simplify]: Simplify 0 into 0 27.295 * [backup-simplify]: Simplify 0 into 0 27.295 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ -1/2 K)))) in J 27.295 * [taylor]: Taking taylor expansion of +nan.0 in J 27.295 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.295 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 27.295 * [taylor]: Taking taylor expansion of J in J 27.295 * [backup-simplify]: Simplify 0 into 0 27.295 * [backup-simplify]: Simplify 1 into 1 27.295 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.295 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.295 * [taylor]: Taking taylor expansion of -1/2 in J 27.295 * [backup-simplify]: Simplify -1/2 into -1/2 27.295 * [taylor]: Taking taylor expansion of K in J 27.295 * [backup-simplify]: Simplify K into K 27.295 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.295 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.295 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.295 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.295 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.296 * [backup-simplify]: Simplify (- 0) into 0 27.296 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.296 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 27.296 * [taylor]: Taking taylor expansion of 0 in K 27.296 * [backup-simplify]: Simplify 0 into 0 27.296 * [backup-simplify]: Simplify 0 into 0 27.296 * [backup-simplify]: Simplify 0 into 0 27.297 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 27.297 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 27.297 * [taylor]: Taking taylor expansion of +nan.0 in J 27.297 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.297 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 27.297 * [taylor]: Taking taylor expansion of (pow J 2) in J 27.297 * [taylor]: Taking taylor expansion of J in J 27.297 * [backup-simplify]: Simplify 0 into 0 27.297 * [backup-simplify]: Simplify 1 into 1 27.297 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 27.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.297 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.297 * [taylor]: Taking taylor expansion of -1/2 in J 27.297 * [backup-simplify]: Simplify -1/2 into -1/2 27.297 * [taylor]: Taking taylor expansion of K in J 27.297 * [backup-simplify]: Simplify K into K 27.298 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.298 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.298 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.298 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.298 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.298 * [backup-simplify]: Simplify (- 0) into 0 27.298 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.299 * [backup-simplify]: Simplify (* 1 1) into 1 27.299 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 27.299 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 27.299 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (cos (/ -1/2 K)))) into (/ +nan.0 (cos (/ -1/2 K))) 27.299 * [taylor]: Taking taylor expansion of (/ +nan.0 (cos (/ -1/2 K))) in K 27.299 * [taylor]: Taking taylor expansion of +nan.0 in K 27.299 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.299 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 27.299 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 27.299 * [taylor]: Taking taylor expansion of -1/2 in K 27.299 * [backup-simplify]: Simplify -1/2 into -1/2 27.299 * [taylor]: Taking taylor expansion of K in K 27.299 * [backup-simplify]: Simplify 0 into 0 27.299 * [backup-simplify]: Simplify 1 into 1 27.300 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 27.300 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.300 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) 27.300 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) 27.300 * [taylor]: Taking taylor expansion of 0 in K 27.300 * [backup-simplify]: Simplify 0 into 0 27.300 * [backup-simplify]: Simplify 0 into 0 27.300 * [backup-simplify]: Simplify 0 into 0 27.300 * [backup-simplify]: Simplify 0 into 0 27.301 * [backup-simplify]: Simplify (* 1 1) into 1 27.302 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.303 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.303 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.306 * [backup-simplify]: Simplify (- 0) into 0 27.306 * [backup-simplify]: Simplify (+ 0 0) into 0 27.307 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.307 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 27.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 27.309 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.310 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.310 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.312 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.313 * [backup-simplify]: Simplify (- 0) into 0 27.313 * [backup-simplify]: Simplify (+ 0 0) into 0 27.314 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.314 * [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 27.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 27.316 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 27.317 * [backup-simplify]: Simplify (+ 1 0) into 1 27.318 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 27.319 * [backup-simplify]: Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) 27.319 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) in J 27.319 * [taylor]: Taking taylor expansion of +nan.0 in J 27.319 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.319 * [taylor]: Taking taylor expansion of (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))) in J 27.319 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 27.319 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.319 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.319 * [taylor]: Taking taylor expansion of -1/2 in J 27.319 * [backup-simplify]: Simplify -1/2 into -1/2 27.319 * [taylor]: Taking taylor expansion of K in J 27.319 * [backup-simplify]: Simplify K into K 27.319 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.319 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.319 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.319 * [taylor]: Taking taylor expansion of J in J 27.319 * [backup-simplify]: Simplify 0 into 0 27.319 * [backup-simplify]: Simplify 1 into 1 27.319 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.319 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.320 * [backup-simplify]: Simplify (- 0) into 0 27.320 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.320 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.320 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))) in J 27.320 * [taylor]: Taking taylor expansion of +nan.0 in J 27.320 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.320 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)) in J 27.320 * [taylor]: Taking taylor expansion of (pow J 3) in J 27.320 * [taylor]: Taking taylor expansion of J in J 27.320 * [backup-simplify]: Simplify 0 into 0 27.320 * [backup-simplify]: Simplify 1 into 1 27.320 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in J 27.320 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.320 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.320 * [taylor]: Taking taylor expansion of -1/2 in J 27.320 * [backup-simplify]: Simplify -1/2 into -1/2 27.320 * [taylor]: Taking taylor expansion of K in J 27.320 * [backup-simplify]: Simplify K into K 27.321 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.321 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.321 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.321 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.321 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.321 * [backup-simplify]: Simplify (- 0) into 0 27.321 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.322 * [backup-simplify]: Simplify (* 1 1) into 1 27.322 * [backup-simplify]: Simplify (* 1 1) into 1 27.322 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 27.322 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3) 27.323 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 3)) into (/ 1 (pow (cos (/ -1/2 K)) 3)) 27.323 * [backup-simplify]: Simplify (+ 0) into 0 27.323 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.324 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.325 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.325 * [backup-simplify]: Simplify (- 0) into 0 27.326 * [backup-simplify]: Simplify (+ 0 0) into 0 27.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 27.327 * [backup-simplify]: Simplify (+ 0 0) into 0 27.327 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.328 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (cos (/ -1/2 K)))) into 0 27.328 * [taylor]: Taking taylor expansion of 0 in K 27.328 * [backup-simplify]: Simplify 0 into 0 27.328 * [backup-simplify]: Simplify 0 into 0 27.328 * [backup-simplify]: Simplify (+ 0) into 0 27.329 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.329 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.329 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.330 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.330 * [backup-simplify]: Simplify (- 0) into 0 27.331 * [backup-simplify]: Simplify (+ 0 0) into 0 27.331 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.332 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 27.332 * [taylor]: Taking taylor expansion of 0 in K 27.332 * [backup-simplify]: Simplify 0 into 0 27.332 * [backup-simplify]: Simplify 0 into 0 27.332 * [taylor]: Taking taylor expansion of 0 in K 27.332 * [backup-simplify]: Simplify 0 into 0 27.332 * [backup-simplify]: Simplify 0 into 0 27.332 * [backup-simplify]: Simplify (* (/ +nan.0 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) 27.332 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 27.332 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) 27.332 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in (U J K) around 0 27.333 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in K 27.333 * [taylor]: Taking taylor expansion of -2 in K 27.333 * [backup-simplify]: Simplify -2 into -2 27.333 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in K 27.333 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 27.333 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 27.333 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 27.333 * [taylor]: Taking taylor expansion of 1/2 in K 27.333 * [backup-simplify]: Simplify 1/2 into 1/2 27.333 * [taylor]: Taking taylor expansion of K in K 27.333 * [backup-simplify]: Simplify 0 into 0 27.333 * [backup-simplify]: Simplify 1 into 1 27.334 * [backup-simplify]: Simplify (* 1/2 0) into 0 27.334 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 27.334 * [taylor]: Taking taylor expansion of J in K 27.334 * [backup-simplify]: Simplify J into J 27.334 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 27.334 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 27.334 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 27.335 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 27.335 * [taylor]: Taking taylor expansion of (* 1 1) in K 27.335 * [taylor]: Taking taylor expansion of 1 in K 27.335 * [backup-simplify]: Simplify 1 into 1 27.335 * [taylor]: Taking taylor expansion of 1 in K 27.335 * [backup-simplify]: Simplify 1 into 1 27.335 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 27.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 27.335 * [taylor]: Taking taylor expansion of 1/2 in K 27.335 * [backup-simplify]: Simplify 1/2 into 1/2 27.335 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 27.335 * [taylor]: Taking taylor expansion of U in K 27.335 * [backup-simplify]: Simplify U into U 27.335 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 27.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 27.335 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 27.335 * [taylor]: Taking taylor expansion of 1/2 in K 27.335 * [backup-simplify]: Simplify 1/2 into 1/2 27.335 * [taylor]: Taking taylor expansion of K in K 27.335 * [backup-simplify]: Simplify 0 into 0 27.335 * [backup-simplify]: Simplify 1 into 1 27.336 * [backup-simplify]: Simplify (* 1/2 0) into 0 27.336 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 27.336 * [taylor]: Taking taylor expansion of J in K 27.336 * [backup-simplify]: Simplify J into J 27.336 * [backup-simplify]: Simplify (* 1 J) into J 27.337 * [backup-simplify]: Simplify (/ U J) into (/ U J) 27.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 27.337 * [taylor]: Taking taylor expansion of 1/2 in K 27.337 * [backup-simplify]: Simplify 1/2 into 1/2 27.337 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 27.337 * [taylor]: Taking taylor expansion of U in K 27.337 * [backup-simplify]: Simplify U into U 27.337 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 27.337 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 27.337 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 27.337 * [taylor]: Taking taylor expansion of 1/2 in K 27.337 * [backup-simplify]: Simplify 1/2 into 1/2 27.337 * [taylor]: Taking taylor expansion of K in K 27.337 * [backup-simplify]: Simplify 0 into 0 27.337 * [backup-simplify]: Simplify 1 into 1 27.337 * [backup-simplify]: Simplify (* 1/2 0) into 0 27.338 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 27.338 * [taylor]: Taking taylor expansion of J in K 27.338 * [backup-simplify]: Simplify J into J 27.338 * [backup-simplify]: Simplify (* 1 J) into J 27.338 * [backup-simplify]: Simplify (/ U J) into (/ U J) 27.339 * [backup-simplify]: Simplify (* 1 1) into 1 27.339 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 27.339 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 27.339 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 27.339 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 27.339 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 27.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.340 * [backup-simplify]: Simplify (+ 0) into 0 27.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 27.341 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 27.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 27.342 * [backup-simplify]: Simplify (+ 0) into 0 27.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 27.343 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 27.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 27.344 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 27.344 * [backup-simplify]: Simplify (+ 0 0) into 0 27.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 27.345 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 27.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 27.345 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in J 27.345 * [taylor]: Taking taylor expansion of -2 in J 27.345 * [backup-simplify]: Simplify -2 into -2 27.345 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in J 27.345 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 27.345 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.345 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.345 * [taylor]: Taking taylor expansion of 1/2 in J 27.345 * [backup-simplify]: Simplify 1/2 into 1/2 27.345 * [taylor]: Taking taylor expansion of K in J 27.345 * [backup-simplify]: Simplify K into K 27.345 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.345 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.345 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.345 * [taylor]: Taking taylor expansion of J in J 27.346 * [backup-simplify]: Simplify 0 into 0 27.346 * [backup-simplify]: Simplify 1 into 1 27.346 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 27.346 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 27.346 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 27.346 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 27.346 * [taylor]: Taking taylor expansion of (* 1 1) in J 27.346 * [taylor]: Taking taylor expansion of 1 in J 27.346 * [backup-simplify]: Simplify 1 into 1 27.346 * [taylor]: Taking taylor expansion of 1 in J 27.346 * [backup-simplify]: Simplify 1 into 1 27.346 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 27.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 27.346 * [taylor]: Taking taylor expansion of 1/2 in J 27.346 * [backup-simplify]: Simplify 1/2 into 1/2 27.346 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 27.346 * [taylor]: Taking taylor expansion of U in J 27.346 * [backup-simplify]: Simplify U into U 27.346 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 27.346 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.346 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.346 * [taylor]: Taking taylor expansion of 1/2 in J 27.346 * [backup-simplify]: Simplify 1/2 into 1/2 27.346 * [taylor]: Taking taylor expansion of K in J 27.346 * [backup-simplify]: Simplify K into K 27.346 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.346 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.346 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.346 * [taylor]: Taking taylor expansion of J in J 27.346 * [backup-simplify]: Simplify 0 into 0 27.346 * [backup-simplify]: Simplify 1 into 1 27.347 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.347 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.347 * [backup-simplify]: Simplify (- 0) into 0 27.347 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.347 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 27.348 * [backup-simplify]: Simplify (+ 0) into 0 27.348 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.350 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.350 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.350 * [backup-simplify]: Simplify (- 0) into 0 27.351 * [backup-simplify]: Simplify (+ 0 0) into 0 27.351 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 27.351 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 27.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 27.351 * [taylor]: Taking taylor expansion of 1/2 in J 27.351 * [backup-simplify]: Simplify 1/2 into 1/2 27.351 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 27.351 * [taylor]: Taking taylor expansion of U in J 27.352 * [backup-simplify]: Simplify U into U 27.352 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 27.352 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.352 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.352 * [taylor]: Taking taylor expansion of 1/2 in J 27.352 * [backup-simplify]: Simplify 1/2 into 1/2 27.352 * [taylor]: Taking taylor expansion of K in J 27.352 * [backup-simplify]: Simplify K into K 27.352 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.352 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.352 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.352 * [taylor]: Taking taylor expansion of J in J 27.352 * [backup-simplify]: Simplify 0 into 0 27.352 * [backup-simplify]: Simplify 1 into 1 27.352 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.352 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.353 * [backup-simplify]: Simplify (- 0) into 0 27.353 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.353 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 27.353 * [backup-simplify]: Simplify (+ 0) into 0 27.354 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.355 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.355 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.356 * [backup-simplify]: Simplify (- 0) into 0 27.356 * [backup-simplify]: Simplify (+ 0 0) into 0 27.356 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 27.357 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 27.357 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 27.357 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 27.357 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 27.357 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 27.358 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 27.359 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.360 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.361 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.362 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.362 * [backup-simplify]: Simplify (- 0) into 0 27.363 * [backup-simplify]: Simplify (+ 0 0) into 0 27.363 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.364 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 27.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 27.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.366 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.367 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.368 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.368 * [backup-simplify]: Simplify (- 0) into 0 27.369 * [backup-simplify]: Simplify (+ 0 0) into 0 27.370 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.370 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 27.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 27.371 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 27.371 * [backup-simplify]: Simplify (+ 0 0) into 0 27.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 27.372 * [backup-simplify]: Simplify (sqrt 0) into 0 27.372 * [backup-simplify]: Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K)))) 27.372 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in U 27.372 * [taylor]: Taking taylor expansion of -2 in U 27.372 * [backup-simplify]: Simplify -2 into -2 27.373 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in U 27.373 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.373 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.373 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.373 * [taylor]: Taking taylor expansion of 1/2 in U 27.373 * [backup-simplify]: Simplify 1/2 into 1/2 27.373 * [taylor]: Taking taylor expansion of K in U 27.373 * [backup-simplify]: Simplify K into K 27.373 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.373 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.373 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.373 * [taylor]: Taking taylor expansion of J in U 27.373 * [backup-simplify]: Simplify J into J 27.373 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 27.373 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 27.373 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 27.373 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 27.373 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.373 * [taylor]: Taking taylor expansion of 1 in U 27.373 * [backup-simplify]: Simplify 1 into 1 27.373 * [taylor]: Taking taylor expansion of 1 in U 27.373 * [backup-simplify]: Simplify 1 into 1 27.373 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 27.373 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 27.373 * [taylor]: Taking taylor expansion of 1/2 in U 27.373 * [backup-simplify]: Simplify 1/2 into 1/2 27.373 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 27.373 * [taylor]: Taking taylor expansion of U in U 27.373 * [backup-simplify]: Simplify 0 into 0 27.373 * [backup-simplify]: Simplify 1 into 1 27.373 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.373 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.373 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.373 * [taylor]: Taking taylor expansion of 1/2 in U 27.374 * [backup-simplify]: Simplify 1/2 into 1/2 27.374 * [taylor]: Taking taylor expansion of K in U 27.374 * [backup-simplify]: Simplify K into K 27.374 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.374 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.374 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.374 * [taylor]: Taking taylor expansion of J in U 27.374 * [backup-simplify]: Simplify J into J 27.374 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.374 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.374 * [backup-simplify]: Simplify (- 0) into 0 27.375 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.375 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.375 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 27.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 27.375 * [taylor]: Taking taylor expansion of 1/2 in U 27.375 * [backup-simplify]: Simplify 1/2 into 1/2 27.375 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 27.375 * [taylor]: Taking taylor expansion of U in U 27.375 * [backup-simplify]: Simplify 0 into 0 27.375 * [backup-simplify]: Simplify 1 into 1 27.375 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.375 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.375 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.375 * [taylor]: Taking taylor expansion of 1/2 in U 27.375 * [backup-simplify]: Simplify 1/2 into 1/2 27.375 * [taylor]: Taking taylor expansion of K in U 27.375 * [backup-simplify]: Simplify K into K 27.375 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.375 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.375 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.375 * [taylor]: Taking taylor expansion of J in U 27.375 * [backup-simplify]: Simplify J into J 27.375 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.375 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.376 * [backup-simplify]: Simplify (- 0) into 0 27.376 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.376 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.376 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 27.377 * [backup-simplify]: Simplify (* 1 1) into 1 27.379 * [backup-simplify]: Simplify (+ 1 0) into 1 27.379 * [backup-simplify]: Simplify (sqrt 1) into 1 27.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.380 * [backup-simplify]: Simplify (+ 0 0) into 0 27.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.381 * [backup-simplify]: Simplify (sqrt 1) into 1 27.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.382 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in U 27.382 * [taylor]: Taking taylor expansion of -2 in U 27.382 * [backup-simplify]: Simplify -2 into -2 27.382 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in U 27.382 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.382 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.382 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.382 * [taylor]: Taking taylor expansion of 1/2 in U 27.382 * [backup-simplify]: Simplify 1/2 into 1/2 27.382 * [taylor]: Taking taylor expansion of K in U 27.382 * [backup-simplify]: Simplify K into K 27.383 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.383 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.383 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.383 * [taylor]: Taking taylor expansion of J in U 27.383 * [backup-simplify]: Simplify J into J 27.383 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 27.383 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 27.383 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 27.383 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 27.383 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.383 * [taylor]: Taking taylor expansion of 1 in U 27.383 * [backup-simplify]: Simplify 1 into 1 27.383 * [taylor]: Taking taylor expansion of 1 in U 27.383 * [backup-simplify]: Simplify 1 into 1 27.383 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 27.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 27.383 * [taylor]: Taking taylor expansion of 1/2 in U 27.383 * [backup-simplify]: Simplify 1/2 into 1/2 27.383 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 27.383 * [taylor]: Taking taylor expansion of U in U 27.383 * [backup-simplify]: Simplify 0 into 0 27.383 * [backup-simplify]: Simplify 1 into 1 27.383 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.383 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.383 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.383 * [taylor]: Taking taylor expansion of 1/2 in U 27.383 * [backup-simplify]: Simplify 1/2 into 1/2 27.383 * [taylor]: Taking taylor expansion of K in U 27.383 * [backup-simplify]: Simplify K into K 27.383 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.384 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.384 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.384 * [taylor]: Taking taylor expansion of J in U 27.384 * [backup-simplify]: Simplify J into J 27.384 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.384 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.384 * [backup-simplify]: Simplify (- 0) into 0 27.384 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.384 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.385 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 27.385 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 27.385 * [taylor]: Taking taylor expansion of 1/2 in U 27.385 * [backup-simplify]: Simplify 1/2 into 1/2 27.385 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 27.385 * [taylor]: Taking taylor expansion of U in U 27.385 * [backup-simplify]: Simplify 0 into 0 27.385 * [backup-simplify]: Simplify 1 into 1 27.385 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.385 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.385 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.385 * [taylor]: Taking taylor expansion of 1/2 in U 27.385 * [backup-simplify]: Simplify 1/2 into 1/2 27.385 * [taylor]: Taking taylor expansion of K in U 27.385 * [backup-simplify]: Simplify K into K 27.385 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.385 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.385 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.385 * [taylor]: Taking taylor expansion of J in U 27.385 * [backup-simplify]: Simplify J into J 27.385 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.385 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.386 * [backup-simplify]: Simplify (- 0) into 0 27.386 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.386 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.386 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 27.386 * [backup-simplify]: Simplify (* 1 1) into 1 27.387 * [backup-simplify]: Simplify (+ 1 0) into 1 27.387 * [backup-simplify]: Simplify (sqrt 1) into 1 27.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.388 * [backup-simplify]: Simplify (+ 0 0) into 0 27.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.389 * [backup-simplify]: Simplify (sqrt 1) into 1 27.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.390 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.391 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.391 * [backup-simplify]: Simplify (- 0) into 0 27.391 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.391 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.391 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 27.391 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 27.391 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 27.391 * [taylor]: Taking taylor expansion of -2 in J 27.391 * [backup-simplify]: Simplify -2 into -2 27.391 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 27.391 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.391 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.392 * [taylor]: Taking taylor expansion of 1/2 in J 27.392 * [backup-simplify]: Simplify 1/2 into 1/2 27.392 * [taylor]: Taking taylor expansion of K in J 27.392 * [backup-simplify]: Simplify K into K 27.392 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.392 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.392 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.392 * [taylor]: Taking taylor expansion of J in J 27.392 * [backup-simplify]: Simplify 0 into 0 27.392 * [backup-simplify]: Simplify 1 into 1 27.392 * [backup-simplify]: Simplify (+ 0) into 0 27.393 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.395 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.395 * [backup-simplify]: Simplify (- 0) into 0 27.395 * [backup-simplify]: Simplify (+ 0 0) into 0 27.395 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 27.396 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 27.397 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 27.397 * [taylor]: Taking taylor expansion of 0 in J 27.397 * [backup-simplify]: Simplify 0 into 0 27.397 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.397 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.397 * [backup-simplify]: Simplify (- 0) into 0 27.397 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.397 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 27.398 * [backup-simplify]: Simplify (* -2 0) into 0 27.398 * [taylor]: Taking taylor expansion of 0 in K 27.398 * [backup-simplify]: Simplify 0 into 0 27.398 * [backup-simplify]: Simplify 0 into 0 27.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.399 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 27.399 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 27.399 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 27.399 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 27.400 * [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))) 27.401 * [backup-simplify]: Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 27.402 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.402 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.404 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.404 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.404 * [backup-simplify]: Simplify (- 0) into 0 27.404 * [backup-simplify]: Simplify (+ 0 0) into 0 27.405 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 27.405 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/16 (/ 1 (* (cos (* 1/2 K)) J))) 27.406 * [backup-simplify]: Simplify (+ (* -2 (* 1/16 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) 27.406 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) in J 27.406 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) in J 27.406 * [taylor]: Taking taylor expansion of 1/8 in J 27.406 * [backup-simplify]: Simplify 1/8 into 1/8 27.406 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 27.406 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 27.406 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.406 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.406 * [taylor]: Taking taylor expansion of 1/2 in J 27.406 * [backup-simplify]: Simplify 1/2 into 1/2 27.406 * [taylor]: Taking taylor expansion of K in J 27.406 * [backup-simplify]: Simplify K into K 27.406 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.406 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.406 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.406 * [taylor]: Taking taylor expansion of J in J 27.406 * [backup-simplify]: Simplify 0 into 0 27.406 * [backup-simplify]: Simplify 1 into 1 27.406 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.406 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.406 * [backup-simplify]: Simplify (- 0) into 0 27.406 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.406 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 27.407 * [backup-simplify]: Simplify (+ 0) into 0 27.407 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.408 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.408 * [backup-simplify]: Simplify (- 0) into 0 27.409 * [backup-simplify]: Simplify (+ 0 0) into 0 27.409 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 27.409 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 27.409 * [backup-simplify]: Simplify (* 1/8 (/ 1 (cos (* 1/2 K)))) into (/ 1/8 (cos (* 1/2 K))) 27.409 * [backup-simplify]: Simplify (- (/ 1/8 (cos (* 1/2 K)))) into (- (* 1/8 (/ 1 (cos (* 1/2 K))))) 27.409 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (cos (* 1/2 K))))) in K 27.409 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (cos (* 1/2 K)))) in K 27.409 * [taylor]: Taking taylor expansion of 1/8 in K 27.409 * [backup-simplify]: Simplify 1/8 into 1/8 27.409 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 27.409 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 27.409 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 27.409 * [taylor]: Taking taylor expansion of 1/2 in K 27.409 * [backup-simplify]: Simplify 1/2 into 1/2 27.409 * [taylor]: Taking taylor expansion of K in K 27.409 * [backup-simplify]: Simplify 0 into 0 27.409 * [backup-simplify]: Simplify 1 into 1 27.410 * [backup-simplify]: Simplify (* 1/2 0) into 0 27.410 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 27.410 * [backup-simplify]: Simplify (/ 1 1) into 1 27.411 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 27.411 * [backup-simplify]: Simplify (- 1/8) into -1/8 27.411 * [backup-simplify]: Simplify -1/8 into -1/8 27.411 * [taylor]: Taking taylor expansion of 0 in K 27.411 * [backup-simplify]: Simplify 0 into 0 27.411 * [backup-simplify]: Simplify 0 into 0 27.411 * [backup-simplify]: Simplify (+ 0) into 0 27.412 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.413 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.413 * [backup-simplify]: Simplify (- 0) into 0 27.413 * [backup-simplify]: Simplify (+ 0 0) into 0 27.413 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 27.414 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 27.414 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 27.414 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 27.414 * [taylor]: Taking taylor expansion of 2 in K 27.414 * [backup-simplify]: Simplify 2 into 2 27.414 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 27.414 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 27.414 * [taylor]: Taking taylor expansion of 1/2 in K 27.414 * [backup-simplify]: Simplify 1/2 into 1/2 27.414 * [taylor]: Taking taylor expansion of K in K 27.414 * [backup-simplify]: Simplify 0 into 0 27.414 * [backup-simplify]: Simplify 1 into 1 27.414 * [backup-simplify]: Simplify (* 1/2 0) into 0 27.415 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 27.415 * [backup-simplify]: Simplify (* 2 1) into 2 27.415 * [backup-simplify]: Simplify (- 2) into -2 27.415 * [backup-simplify]: Simplify -2 into -2 27.415 * [backup-simplify]: Simplify 0 into 0 27.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.416 * [backup-simplify]: Simplify (+ 0) into 0 27.416 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.417 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.418 * [backup-simplify]: Simplify (- 0) into 0 27.418 * [backup-simplify]: Simplify (+ 0 0) into 0 27.418 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 27.418 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 27.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 27.419 * [backup-simplify]: Simplify (+ 0) into 0 27.419 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.420 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.420 * [backup-simplify]: Simplify (- 0) into 0 27.421 * [backup-simplify]: Simplify (+ 0 0) into 0 27.421 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 27.421 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 27.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 27.421 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 27.422 * [backup-simplify]: Simplify (+ 0 0) into 0 27.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 27.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 27.423 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.424 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 27.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.426 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.426 * [backup-simplify]: Simplify (- 0) into 0 27.427 * [backup-simplify]: Simplify (+ 0 0) into 0 27.427 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 27.428 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 27.429 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/16 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 27.429 * [taylor]: Taking taylor expansion of 0 in J 27.429 * [backup-simplify]: Simplify 0 into 0 27.430 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.431 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.433 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.433 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.434 * [backup-simplify]: Simplify (- 0) into 0 27.434 * [backup-simplify]: Simplify (+ 0 0) into 0 27.435 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 27.436 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 27.436 * [backup-simplify]: Simplify (- 0) into 0 27.436 * [taylor]: Taking taylor expansion of 0 in K 27.436 * [backup-simplify]: Simplify 0 into 0 27.436 * [backup-simplify]: Simplify 0 into 0 27.436 * [taylor]: Taking taylor expansion of 0 in K 27.436 * [backup-simplify]: Simplify 0 into 0 27.436 * [backup-simplify]: Simplify 0 into 0 27.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.438 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.440 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.441 * [backup-simplify]: Simplify (- 0) into 0 27.441 * [backup-simplify]: Simplify (+ 0 0) into 0 27.442 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.443 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 27.443 * [taylor]: Taking taylor expansion of 0 in K 27.443 * [backup-simplify]: Simplify 0 into 0 27.443 * [backup-simplify]: Simplify 0 into 0 27.443 * [backup-simplify]: Simplify (+ 0) into 0 27.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.445 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 27.445 * [backup-simplify]: Simplify (- 0) into 0 27.445 * [backup-simplify]: Simplify 0 into 0 27.445 * [backup-simplify]: Simplify 0 into 0 27.445 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/8 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/8 (/ (pow U 2) J)))) 27.446 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) 27.446 * [approximate]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in (U J K) around 0 27.446 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in K 27.446 * [taylor]: Taking taylor expansion of -2 in K 27.446 * [backup-simplify]: Simplify -2 into -2 27.446 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) in K 27.446 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 27.446 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 27.446 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 27.446 * [taylor]: Taking taylor expansion of 1/2 in K 27.446 * [backup-simplify]: Simplify 1/2 into 1/2 27.446 * [taylor]: Taking taylor expansion of K in K 27.446 * [backup-simplify]: Simplify 0 into 0 27.446 * [backup-simplify]: Simplify 1 into 1 27.447 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 27.447 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.447 * [taylor]: Taking taylor expansion of J in K 27.447 * [backup-simplify]: Simplify J into J 27.447 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 27.447 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 27.447 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 27.447 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 27.447 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 27.447 * [taylor]: Taking taylor expansion of (* 1 1) in K 27.447 * [taylor]: Taking taylor expansion of 1 in K 27.447 * [backup-simplify]: Simplify 1 into 1 27.447 * [taylor]: Taking taylor expansion of 1 in K 27.447 * [backup-simplify]: Simplify 1 into 1 27.447 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 27.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 27.447 * [taylor]: Taking taylor expansion of 1/2 in K 27.447 * [backup-simplify]: Simplify 1/2 into 1/2 27.447 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 27.448 * [taylor]: Taking taylor expansion of J in K 27.448 * [backup-simplify]: Simplify J into J 27.448 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 27.448 * [taylor]: Taking taylor expansion of U in K 27.448 * [backup-simplify]: Simplify U into U 27.448 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 27.448 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 27.448 * [taylor]: Taking taylor expansion of 1/2 in K 27.448 * [backup-simplify]: Simplify 1/2 into 1/2 27.448 * [taylor]: Taking taylor expansion of K in K 27.448 * [backup-simplify]: Simplify 0 into 0 27.448 * [backup-simplify]: Simplify 1 into 1 27.448 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 27.448 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.448 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 27.449 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 27.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 27.449 * [taylor]: Taking taylor expansion of 1/2 in K 27.449 * [backup-simplify]: Simplify 1/2 into 1/2 27.449 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 27.449 * [taylor]: Taking taylor expansion of J in K 27.449 * [backup-simplify]: Simplify J into J 27.449 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 27.449 * [taylor]: Taking taylor expansion of U in K 27.449 * [backup-simplify]: Simplify U into U 27.449 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 27.449 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 27.449 * [taylor]: Taking taylor expansion of 1/2 in K 27.449 * [backup-simplify]: Simplify 1/2 into 1/2 27.449 * [taylor]: Taking taylor expansion of K in K 27.449 * [backup-simplify]: Simplify 0 into 0 27.449 * [backup-simplify]: Simplify 1 into 1 27.449 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 27.450 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.450 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 27.450 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 27.450 * [backup-simplify]: Simplify (* 1 1) into 1 27.450 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 27.450 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 27.451 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 27.451 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 27.451 * [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)) 27.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.452 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 27.453 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 27.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 27.454 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 27.454 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 27.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 27.455 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 27.455 * [backup-simplify]: Simplify (+ 0 0) into 0 27.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 27.456 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 27.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 27.457 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in J 27.457 * [taylor]: Taking taylor expansion of -2 in J 27.457 * [backup-simplify]: Simplify -2 into -2 27.457 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) in J 27.457 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 27.457 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.457 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.457 * [taylor]: Taking taylor expansion of 1/2 in J 27.457 * [backup-simplify]: Simplify 1/2 into 1/2 27.457 * [taylor]: Taking taylor expansion of K in J 27.457 * [backup-simplify]: Simplify K into K 27.458 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.458 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.458 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.458 * [taylor]: Taking taylor expansion of J in J 27.458 * [backup-simplify]: Simplify 0 into 0 27.458 * [backup-simplify]: Simplify 1 into 1 27.458 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.458 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.458 * [backup-simplify]: Simplify (- 0) into 0 27.459 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.459 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.459 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 27.459 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 27.459 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 27.459 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 27.459 * [taylor]: Taking taylor expansion of (* 1 1) in J 27.459 * [taylor]: Taking taylor expansion of 1 in J 27.459 * [backup-simplify]: Simplify 1 into 1 27.459 * [taylor]: Taking taylor expansion of 1 in J 27.459 * [backup-simplify]: Simplify 1 into 1 27.459 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 27.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 27.459 * [taylor]: Taking taylor expansion of 1/2 in J 27.459 * [backup-simplify]: Simplify 1/2 into 1/2 27.459 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 27.459 * [taylor]: Taking taylor expansion of J in J 27.459 * [backup-simplify]: Simplify 0 into 0 27.459 * [backup-simplify]: Simplify 1 into 1 27.459 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 27.459 * [taylor]: Taking taylor expansion of U in J 27.459 * [backup-simplify]: Simplify U into U 27.459 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.459 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.459 * [taylor]: Taking taylor expansion of 1/2 in J 27.459 * [backup-simplify]: Simplify 1/2 into 1/2 27.459 * [taylor]: Taking taylor expansion of K in J 27.459 * [backup-simplify]: Simplify K into K 27.459 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.460 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.460 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.460 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.460 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.460 * [backup-simplify]: Simplify (- 0) into 0 27.460 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.460 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 27.461 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 27.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 27.461 * [taylor]: Taking taylor expansion of 1/2 in J 27.461 * [backup-simplify]: Simplify 1/2 into 1/2 27.461 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 27.461 * [taylor]: Taking taylor expansion of J in J 27.461 * [backup-simplify]: Simplify 0 into 0 27.461 * [backup-simplify]: Simplify 1 into 1 27.461 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 27.461 * [taylor]: Taking taylor expansion of U in J 27.461 * [backup-simplify]: Simplify U into U 27.461 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.461 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.461 * [taylor]: Taking taylor expansion of 1/2 in J 27.461 * [backup-simplify]: Simplify 1/2 into 1/2 27.461 * [taylor]: Taking taylor expansion of K in J 27.461 * [backup-simplify]: Simplify K into K 27.461 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.461 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.461 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.461 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.461 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.462 * [backup-simplify]: Simplify (- 0) into 0 27.462 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.462 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 27.462 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 27.462 * [backup-simplify]: Simplify (* 1 1) into 1 27.463 * [backup-simplify]: Simplify (+ 1 0) into 1 27.463 * [backup-simplify]: Simplify (sqrt 1) into 1 27.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.464 * [backup-simplify]: Simplify (+ 0 0) into 0 27.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.465 * [backup-simplify]: Simplify (sqrt 1) into 1 27.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.466 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in U 27.466 * [taylor]: Taking taylor expansion of -2 in U 27.466 * [backup-simplify]: Simplify -2 into -2 27.466 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) in U 27.466 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 27.466 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.466 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.466 * [taylor]: Taking taylor expansion of 1/2 in U 27.466 * [backup-simplify]: Simplify 1/2 into 1/2 27.466 * [taylor]: Taking taylor expansion of K in U 27.466 * [backup-simplify]: Simplify K into K 27.467 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.467 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.467 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.467 * [taylor]: Taking taylor expansion of J in U 27.467 * [backup-simplify]: Simplify J into J 27.467 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.467 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.467 * [backup-simplify]: Simplify (- 0) into 0 27.467 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.468 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 27.468 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 27.468 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 27.468 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 27.468 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 27.468 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.468 * [taylor]: Taking taylor expansion of 1 in U 27.468 * [backup-simplify]: Simplify 1 into 1 27.468 * [taylor]: Taking taylor expansion of 1 in U 27.468 * [backup-simplify]: Simplify 1 into 1 27.468 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 27.468 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 27.468 * [taylor]: Taking taylor expansion of 1/2 in U 27.468 * [backup-simplify]: Simplify 1/2 into 1/2 27.468 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 27.468 * [taylor]: Taking taylor expansion of J in U 27.468 * [backup-simplify]: Simplify J into J 27.468 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 27.468 * [taylor]: Taking taylor expansion of U in U 27.468 * [backup-simplify]: Simplify 0 into 0 27.468 * [backup-simplify]: Simplify 1 into 1 27.468 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.468 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.468 * [taylor]: Taking taylor expansion of 1/2 in U 27.468 * [backup-simplify]: Simplify 1/2 into 1/2 27.468 * [taylor]: Taking taylor expansion of K in U 27.468 * [backup-simplify]: Simplify K into K 27.468 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.468 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.468 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.469 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.469 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.469 * [backup-simplify]: Simplify (- 0) into 0 27.469 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.469 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 27.470 * [backup-simplify]: Simplify (+ 0) into 0 27.470 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.470 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.471 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.472 * [backup-simplify]: Simplify (- 0) into 0 27.472 * [backup-simplify]: Simplify (+ 0 0) into 0 27.473 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 27.473 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 27.473 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 27.473 * [taylor]: Taking taylor expansion of 1/2 in U 27.473 * [backup-simplify]: Simplify 1/2 into 1/2 27.473 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 27.473 * [taylor]: Taking taylor expansion of J in U 27.473 * [backup-simplify]: Simplify J into J 27.473 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 27.473 * [taylor]: Taking taylor expansion of U in U 27.473 * [backup-simplify]: Simplify 0 into 0 27.473 * [backup-simplify]: Simplify 1 into 1 27.473 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.473 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.473 * [taylor]: Taking taylor expansion of 1/2 in U 27.473 * [backup-simplify]: Simplify 1/2 into 1/2 27.473 * [taylor]: Taking taylor expansion of K in U 27.473 * [backup-simplify]: Simplify K into K 27.473 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.474 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.474 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.474 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.474 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.474 * [backup-simplify]: Simplify (- 0) into 0 27.474 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.474 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 27.475 * [backup-simplify]: Simplify (+ 0) into 0 27.475 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.475 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.477 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.477 * [backup-simplify]: Simplify (- 0) into 0 27.477 * [backup-simplify]: Simplify (+ 0 0) into 0 27.478 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 27.478 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 27.478 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.478 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.478 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 27.479 * [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))) 27.479 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.480 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.480 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.481 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.481 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.482 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.482 * [backup-simplify]: Simplify (- 0) into 0 27.483 * [backup-simplify]: Simplify (+ 0 0) into 0 27.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 27.484 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 27.485 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.486 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.486 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.488 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.488 * [backup-simplify]: Simplify (- 0) into 0 27.488 * [backup-simplify]: Simplify (+ 0 0) into 0 27.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 27.489 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 27.490 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 27.491 * [backup-simplify]: Simplify (+ 0 0) into 0 27.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 27.491 * [backup-simplify]: Simplify (sqrt 0) into 0 27.492 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 27.492 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in U 27.492 * [taylor]: Taking taylor expansion of -2 in U 27.492 * [backup-simplify]: Simplify -2 into -2 27.492 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) in U 27.492 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 27.492 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.492 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.492 * [taylor]: Taking taylor expansion of 1/2 in U 27.492 * [backup-simplify]: Simplify 1/2 into 1/2 27.492 * [taylor]: Taking taylor expansion of K in U 27.492 * [backup-simplify]: Simplify K into K 27.492 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.492 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.492 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.492 * [taylor]: Taking taylor expansion of J in U 27.492 * [backup-simplify]: Simplify J into J 27.493 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.493 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.493 * [backup-simplify]: Simplify (- 0) into 0 27.493 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.493 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 27.493 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 27.493 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 27.493 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 27.493 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 27.493 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.493 * [taylor]: Taking taylor expansion of 1 in U 27.493 * [backup-simplify]: Simplify 1 into 1 27.493 * [taylor]: Taking taylor expansion of 1 in U 27.493 * [backup-simplify]: Simplify 1 into 1 27.494 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 27.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 27.494 * [taylor]: Taking taylor expansion of 1/2 in U 27.494 * [backup-simplify]: Simplify 1/2 into 1/2 27.494 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 27.494 * [taylor]: Taking taylor expansion of J in U 27.494 * [backup-simplify]: Simplify J into J 27.494 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 27.494 * [taylor]: Taking taylor expansion of U in U 27.494 * [backup-simplify]: Simplify 0 into 0 27.494 * [backup-simplify]: Simplify 1 into 1 27.494 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.494 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.494 * [taylor]: Taking taylor expansion of 1/2 in U 27.494 * [backup-simplify]: Simplify 1/2 into 1/2 27.494 * [taylor]: Taking taylor expansion of K in U 27.494 * [backup-simplify]: Simplify K into K 27.494 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.494 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.494 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.494 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.494 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.495 * [backup-simplify]: Simplify (- 0) into 0 27.495 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.495 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 27.495 * [backup-simplify]: Simplify (+ 0) into 0 27.496 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.496 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.497 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.498 * [backup-simplify]: Simplify (- 0) into 0 27.498 * [backup-simplify]: Simplify (+ 0 0) into 0 27.498 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 27.498 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 27.499 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 27.499 * [taylor]: Taking taylor expansion of 1/2 in U 27.499 * [backup-simplify]: Simplify 1/2 into 1/2 27.499 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 27.499 * [taylor]: Taking taylor expansion of J in U 27.499 * [backup-simplify]: Simplify J into J 27.499 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 27.499 * [taylor]: Taking taylor expansion of U in U 27.499 * [backup-simplify]: Simplify 0 into 0 27.499 * [backup-simplify]: Simplify 1 into 1 27.499 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.499 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.499 * [taylor]: Taking taylor expansion of 1/2 in U 27.499 * [backup-simplify]: Simplify 1/2 into 1/2 27.499 * [taylor]: Taking taylor expansion of K in U 27.499 * [backup-simplify]: Simplify K into K 27.499 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.499 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.499 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.499 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.499 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.500 * [backup-simplify]: Simplify (- 0) into 0 27.500 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.500 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 27.500 * [backup-simplify]: Simplify (+ 0) into 0 27.501 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.501 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.502 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.503 * [backup-simplify]: Simplify (- 0) into 0 27.503 * [backup-simplify]: Simplify (+ 0 0) into 0 27.504 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 27.504 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 27.504 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.504 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.504 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 27.505 * [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))) 27.505 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.506 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.507 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.507 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.508 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.508 * [backup-simplify]: Simplify (- 0) into 0 27.509 * [backup-simplify]: Simplify (+ 0 0) into 0 27.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 27.510 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 27.513 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.514 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.515 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.516 * [backup-simplify]: Simplify (- 0) into 0 27.517 * [backup-simplify]: Simplify (+ 0 0) into 0 27.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 27.518 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 27.519 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 27.519 * [backup-simplify]: Simplify (+ 0 0) into 0 27.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 27.520 * [backup-simplify]: Simplify (sqrt 0) into 0 27.521 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 27.521 * [backup-simplify]: Simplify (* (/ (cos (/ 1/2 K)) J) 0) into 0 27.521 * [backup-simplify]: Simplify (* -2 0) into 0 27.522 * [taylor]: Taking taylor expansion of 0 in J 27.522 * [backup-simplify]: Simplify 0 into 0 27.522 * [backup-simplify]: Simplify (+ 0) into 0 27.522 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.523 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.523 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.524 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.524 * [backup-simplify]: Simplify (- 0) into 0 27.525 * [backup-simplify]: Simplify (+ 0 0) into 0 27.525 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 27.525 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ J (cos (/ 1/2 K))))) (* 0 0)) into (- +nan.0) 27.527 * [backup-simplify]: Simplify (+ (* -2 (- +nan.0)) (* 0 0)) into (- +nan.0) 27.527 * [taylor]: Taking taylor expansion of (- +nan.0) in J 27.527 * [taylor]: Taking taylor expansion of +nan.0 in J 27.527 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.527 * [taylor]: Taking taylor expansion of 0 in K 27.528 * [backup-simplify]: Simplify 0 into 0 27.528 * [backup-simplify]: Simplify 0 into 0 27.529 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 27.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.530 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.530 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.531 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.532 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.532 * [backup-simplify]: Simplify (- 0) into 0 27.532 * [backup-simplify]: Simplify (+ 0 0) into 0 27.533 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 27.533 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 (* +nan.0 (/ J (cos (/ 1/2 K))))) (* 0 0))) into (- (* +nan.0 (/ J (cos (/ 1/2 K))))) 27.534 * [backup-simplify]: Simplify (+ (* -2 (- (* +nan.0 (/ J (cos (/ 1/2 K)))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (* +nan.0 (/ J (cos (/ 1/2 K))))) 27.534 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ J (cos (/ 1/2 K))))) in J 27.535 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ 1/2 K)))) in J 27.535 * [taylor]: Taking taylor expansion of +nan.0 in J 27.535 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.535 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 27.535 * [taylor]: Taking taylor expansion of J in J 27.535 * [backup-simplify]: Simplify 0 into 0 27.535 * [backup-simplify]: Simplify 1 into 1 27.535 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.535 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.535 * [taylor]: Taking taylor expansion of 1/2 in J 27.535 * [backup-simplify]: Simplify 1/2 into 1/2 27.535 * [taylor]: Taking taylor expansion of K in J 27.535 * [backup-simplify]: Simplify K into K 27.535 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.535 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.535 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.535 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.535 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.536 * [backup-simplify]: Simplify (- 0) into 0 27.536 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.536 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 27.536 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 27.536 * [taylor]: Taking taylor expansion of (- +nan.0) in K 27.536 * [taylor]: Taking taylor expansion of +nan.0 in K 27.536 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.537 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 27.537 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 27.537 * [taylor]: Taking taylor expansion of 0 in K 27.537 * [backup-simplify]: Simplify 0 into 0 27.537 * [backup-simplify]: Simplify 0 into 0 27.537 * [backup-simplify]: Simplify 0 into 0 27.538 * [backup-simplify]: Simplify (* 1 1) into 1 27.539 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.539 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.540 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.541 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.542 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.542 * [backup-simplify]: Simplify (- 0) into 0 27.543 * [backup-simplify]: Simplify (+ 0 0) into 0 27.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 27.544 * [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 27.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 27.546 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.547 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.547 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.549 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.550 * [backup-simplify]: Simplify (- 0) into 0 27.550 * [backup-simplify]: Simplify (+ 0 0) into 0 27.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 27.552 * [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 27.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 27.553 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 27.554 * [backup-simplify]: Simplify (+ 1 0) into 1 27.555 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 27.556 * [backup-simplify]: Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) 27.557 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.558 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.558 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.560 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.561 * [backup-simplify]: Simplify (- 0) into 0 27.561 * [backup-simplify]: Simplify (+ 0 0) into 0 27.561 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 27.563 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))))) (+ (* 0 (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 (* +nan.0 (/ J (cos (/ 1/2 K))))) (* 0 0)))) into (- (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) 27.565 * [backup-simplify]: Simplify (+ (* -2 (- (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (+ (* 0 (- (* +nan.0 (/ J (cos (/ 1/2 K)))))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) 27.565 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) in J 27.565 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) in J 27.565 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 27.565 * [taylor]: Taking taylor expansion of +nan.0 in J 27.565 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.565 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 27.565 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 27.565 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.565 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.565 * [taylor]: Taking taylor expansion of 1/2 in J 27.565 * [backup-simplify]: Simplify 1/2 into 1/2 27.565 * [taylor]: Taking taylor expansion of K in J 27.565 * [backup-simplify]: Simplify K into K 27.565 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.565 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.565 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.565 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.565 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.566 * [backup-simplify]: Simplify (- 0) into 0 27.566 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.566 * [taylor]: Taking taylor expansion of (pow J 2) in J 27.566 * [taylor]: Taking taylor expansion of J in J 27.566 * [backup-simplify]: Simplify 0 into 0 27.566 * [backup-simplify]: Simplify 1 into 1 27.566 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 27.566 * [backup-simplify]: Simplify (* 1 1) into 1 27.567 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 27.567 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 27.567 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 27.567 * [taylor]: Taking taylor expansion of +nan.0 in J 27.567 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.567 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 27.567 * [taylor]: Taking taylor expansion of (pow J 2) in J 27.567 * [taylor]: Taking taylor expansion of J in J 27.567 * [backup-simplify]: Simplify 0 into 0 27.567 * [backup-simplify]: Simplify 1 into 1 27.567 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 27.567 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.567 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.567 * [taylor]: Taking taylor expansion of 1/2 in J 27.567 * [backup-simplify]: Simplify 1/2 into 1/2 27.567 * [taylor]: Taking taylor expansion of K in J 27.567 * [backup-simplify]: Simplify K into K 27.567 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.567 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.567 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.567 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.567 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.568 * [backup-simplify]: Simplify (- 0) into 0 27.568 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.568 * [backup-simplify]: Simplify (* 1 1) into 1 27.568 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 27.569 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 27.569 * [backup-simplify]: Simplify (+ 0) into 0 27.569 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.570 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.570 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.571 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.571 * [backup-simplify]: Simplify (- 0) into 0 27.572 * [backup-simplify]: Simplify (+ 0 0) into 0 27.572 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 27.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 27.574 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 27.574 * [backup-simplify]: Simplify (+ 0 0) into 0 27.575 * [backup-simplify]: Simplify (- 0) into 0 27.575 * [taylor]: Taking taylor expansion of 0 in K 27.575 * [backup-simplify]: Simplify 0 into 0 27.575 * [backup-simplify]: Simplify 0 into 0 27.575 * [backup-simplify]: Simplify (- 0) into 0 27.575 * [taylor]: Taking taylor expansion of 0 in K 27.575 * [backup-simplify]: Simplify 0 into 0 27.575 * [backup-simplify]: Simplify 0 into 0 27.575 * [taylor]: Taking taylor expansion of 0 in K 27.575 * [backup-simplify]: Simplify 0 into 0 27.575 * [backup-simplify]: Simplify 0 into 0 27.576 * [backup-simplify]: Simplify (- 0) into 0 27.576 * [backup-simplify]: Simplify 0 into 0 27.576 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 27.577 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) 27.577 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in (U J K) around 0 27.577 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in K 27.577 * [taylor]: Taking taylor expansion of 2 in K 27.577 * [backup-simplify]: Simplify 2 into 2 27.577 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in K 27.577 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 27.577 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 27.577 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 27.577 * [taylor]: Taking taylor expansion of -1/2 in K 27.577 * [backup-simplify]: Simplify -1/2 into -1/2 27.577 * [taylor]: Taking taylor expansion of K in K 27.577 * [backup-simplify]: Simplify 0 into 0 27.577 * [backup-simplify]: Simplify 1 into 1 27.577 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 27.578 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.578 * [taylor]: Taking taylor expansion of J in K 27.578 * [backup-simplify]: Simplify J into J 27.578 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 27.578 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 27.578 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 27.578 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.578 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 27.578 * [taylor]: Taking taylor expansion of (* 1 1) in K 27.578 * [taylor]: Taking taylor expansion of 1 in K 27.578 * [backup-simplify]: Simplify 1 into 1 27.578 * [taylor]: Taking taylor expansion of 1 in K 27.578 * [backup-simplify]: Simplify 1 into 1 27.578 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 27.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 27.578 * [taylor]: Taking taylor expansion of 1/2 in K 27.578 * [backup-simplify]: Simplify 1/2 into 1/2 27.578 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 27.578 * [taylor]: Taking taylor expansion of J in K 27.578 * [backup-simplify]: Simplify J into J 27.578 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 27.578 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 27.578 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 27.578 * [taylor]: Taking taylor expansion of -1/2 in K 27.578 * [backup-simplify]: Simplify -1/2 into -1/2 27.578 * [taylor]: Taking taylor expansion of K in K 27.578 * [backup-simplify]: Simplify 0 into 0 27.578 * [backup-simplify]: Simplify 1 into 1 27.579 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 27.579 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.579 * [taylor]: Taking taylor expansion of U in K 27.579 * [backup-simplify]: Simplify U into U 27.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.579 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 27.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 27.579 * [taylor]: Taking taylor expansion of 1/2 in K 27.579 * [backup-simplify]: Simplify 1/2 into 1/2 27.579 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 27.579 * [taylor]: Taking taylor expansion of J in K 27.579 * [backup-simplify]: Simplify J into J 27.579 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 27.579 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 27.579 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 27.579 * [taylor]: Taking taylor expansion of -1/2 in K 27.579 * [backup-simplify]: Simplify -1/2 into -1/2 27.579 * [taylor]: Taking taylor expansion of K in K 27.579 * [backup-simplify]: Simplify 0 into 0 27.580 * [backup-simplify]: Simplify 1 into 1 27.580 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 27.580 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.580 * [taylor]: Taking taylor expansion of U in K 27.580 * [backup-simplify]: Simplify U into U 27.580 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.580 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 27.581 * [backup-simplify]: Simplify (* 1 1) into 1 27.581 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 27.581 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 27.581 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 27.582 * [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))))) 27.582 * [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)))))) 27.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 27.583 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 27.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 27.584 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 27.584 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 27.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 27.585 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 27.586 * [backup-simplify]: Simplify (+ 0 0) into 0 27.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 27.586 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 27.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 27.587 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in J 27.587 * [taylor]: Taking taylor expansion of 2 in J 27.587 * [backup-simplify]: Simplify 2 into 2 27.587 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in J 27.587 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 27.587 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.587 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.587 * [taylor]: Taking taylor expansion of -1/2 in J 27.587 * [backup-simplify]: Simplify -1/2 into -1/2 27.587 * [taylor]: Taking taylor expansion of K in J 27.587 * [backup-simplify]: Simplify K into K 27.587 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.587 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.587 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.587 * [taylor]: Taking taylor expansion of J in J 27.587 * [backup-simplify]: Simplify 0 into 0 27.588 * [backup-simplify]: Simplify 1 into 1 27.588 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.588 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.588 * [backup-simplify]: Simplify (- 0) into 0 27.588 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.588 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.588 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 27.588 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 27.588 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.588 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 27.589 * [taylor]: Taking taylor expansion of (* 1 1) in J 27.589 * [taylor]: Taking taylor expansion of 1 in J 27.589 * [backup-simplify]: Simplify 1 into 1 27.589 * [taylor]: Taking taylor expansion of 1 in J 27.589 * [backup-simplify]: Simplify 1 into 1 27.589 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 27.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 27.589 * [taylor]: Taking taylor expansion of 1/2 in J 27.589 * [backup-simplify]: Simplify 1/2 into 1/2 27.589 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 27.589 * [taylor]: Taking taylor expansion of J in J 27.589 * [backup-simplify]: Simplify 0 into 0 27.589 * [backup-simplify]: Simplify 1 into 1 27.589 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 27.589 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.589 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.589 * [taylor]: Taking taylor expansion of -1/2 in J 27.589 * [backup-simplify]: Simplify -1/2 into -1/2 27.589 * [taylor]: Taking taylor expansion of K in J 27.589 * [backup-simplify]: Simplify K into K 27.589 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.589 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.589 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.589 * [taylor]: Taking taylor expansion of U in J 27.589 * [backup-simplify]: Simplify U into U 27.589 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.589 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.590 * [backup-simplify]: Simplify (- 0) into 0 27.590 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.590 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.590 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 27.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 27.590 * [taylor]: Taking taylor expansion of 1/2 in J 27.590 * [backup-simplify]: Simplify 1/2 into 1/2 27.590 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 27.590 * [taylor]: Taking taylor expansion of J in J 27.590 * [backup-simplify]: Simplify 0 into 0 27.590 * [backup-simplify]: Simplify 1 into 1 27.590 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 27.590 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.590 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.590 * [taylor]: Taking taylor expansion of -1/2 in J 27.590 * [backup-simplify]: Simplify -1/2 into -1/2 27.590 * [taylor]: Taking taylor expansion of K in J 27.591 * [backup-simplify]: Simplify K into K 27.591 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.591 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.591 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.591 * [taylor]: Taking taylor expansion of U in J 27.591 * [backup-simplify]: Simplify U into U 27.591 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.591 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.591 * [backup-simplify]: Simplify (- 0) into 0 27.591 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.592 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.592 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 27.592 * [backup-simplify]: Simplify (* 1 1) into 1 27.592 * [backup-simplify]: Simplify (+ 1 0) into 1 27.593 * [backup-simplify]: Simplify (sqrt 1) into 1 27.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.594 * [backup-simplify]: Simplify (+ 0 0) into 0 27.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.595 * [backup-simplify]: Simplify (sqrt 1) into 1 27.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.596 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in U 27.596 * [taylor]: Taking taylor expansion of 2 in U 27.596 * [backup-simplify]: Simplify 2 into 2 27.596 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in U 27.596 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 27.596 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.596 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.596 * [taylor]: Taking taylor expansion of -1/2 in U 27.596 * [backup-simplify]: Simplify -1/2 into -1/2 27.596 * [taylor]: Taking taylor expansion of K in U 27.596 * [backup-simplify]: Simplify K into K 27.596 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.596 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.596 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.596 * [taylor]: Taking taylor expansion of J in U 27.596 * [backup-simplify]: Simplify J into J 27.596 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.597 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.597 * [backup-simplify]: Simplify (- 0) into 0 27.597 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.597 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 27.597 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.597 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.597 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.597 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.597 * [taylor]: Taking taylor expansion of 1 in U 27.597 * [backup-simplify]: Simplify 1 into 1 27.597 * [taylor]: Taking taylor expansion of 1 in U 27.597 * [backup-simplify]: Simplify 1 into 1 27.597 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.598 * [taylor]: Taking taylor expansion of 1/2 in U 27.598 * [backup-simplify]: Simplify 1/2 into 1/2 27.598 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.598 * [taylor]: Taking taylor expansion of J in U 27.598 * [backup-simplify]: Simplify J into J 27.598 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.598 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.598 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.598 * [taylor]: Taking taylor expansion of -1/2 in U 27.598 * [backup-simplify]: Simplify -1/2 into -1/2 27.598 * [taylor]: Taking taylor expansion of K in U 27.598 * [backup-simplify]: Simplify K into K 27.598 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.598 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.598 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.598 * [taylor]: Taking taylor expansion of U in U 27.598 * [backup-simplify]: Simplify 0 into 0 27.598 * [backup-simplify]: Simplify 1 into 1 27.598 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.598 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.599 * [backup-simplify]: Simplify (- 0) into 0 27.599 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.599 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.599 * [backup-simplify]: Simplify (+ 0) into 0 27.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.600 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.602 * [backup-simplify]: Simplify (- 0) into 0 27.602 * [backup-simplify]: Simplify (+ 0 0) into 0 27.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.603 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.603 * [taylor]: Taking taylor expansion of 1/2 in U 27.603 * [backup-simplify]: Simplify 1/2 into 1/2 27.603 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.603 * [taylor]: Taking taylor expansion of J in U 27.603 * [backup-simplify]: Simplify J into J 27.603 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.603 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.603 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.603 * [taylor]: Taking taylor expansion of -1/2 in U 27.603 * [backup-simplify]: Simplify -1/2 into -1/2 27.603 * [taylor]: Taking taylor expansion of K in U 27.603 * [backup-simplify]: Simplify K into K 27.603 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.603 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.603 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.603 * [taylor]: Taking taylor expansion of U in U 27.603 * [backup-simplify]: Simplify 0 into 0 27.603 * [backup-simplify]: Simplify 1 into 1 27.603 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.603 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.604 * [backup-simplify]: Simplify (- 0) into 0 27.604 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.604 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.605 * [backup-simplify]: Simplify (+ 0) into 0 27.605 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.605 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.607 * [backup-simplify]: Simplify (- 0) into 0 27.607 * [backup-simplify]: Simplify (+ 0 0) into 0 27.608 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.608 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.608 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.608 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.608 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 27.609 * [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))) 27.609 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.610 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.610 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.611 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.611 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.612 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.612 * [backup-simplify]: Simplify (- 0) into 0 27.613 * [backup-simplify]: Simplify (+ 0 0) into 0 27.614 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.614 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.615 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.616 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.616 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.617 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.618 * [backup-simplify]: Simplify (- 0) into 0 27.618 * [backup-simplify]: Simplify (+ 0 0) into 0 27.619 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.619 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.620 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 27.620 * [backup-simplify]: Simplify (+ 0 0) into 0 27.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 27.621 * [backup-simplify]: Simplify (sqrt 0) into 0 27.622 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 27.622 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in U 27.622 * [taylor]: Taking taylor expansion of 2 in U 27.622 * [backup-simplify]: Simplify 2 into 2 27.622 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in U 27.622 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 27.622 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.622 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.622 * [taylor]: Taking taylor expansion of -1/2 in U 27.622 * [backup-simplify]: Simplify -1/2 into -1/2 27.622 * [taylor]: Taking taylor expansion of K in U 27.622 * [backup-simplify]: Simplify K into K 27.622 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.622 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.623 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.623 * [taylor]: Taking taylor expansion of J in U 27.623 * [backup-simplify]: Simplify J into J 27.623 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.623 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.623 * [backup-simplify]: Simplify (- 0) into 0 27.623 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.623 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 27.623 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.623 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.623 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.623 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.624 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.624 * [taylor]: Taking taylor expansion of 1 in U 27.624 * [backup-simplify]: Simplify 1 into 1 27.624 * [taylor]: Taking taylor expansion of 1 in U 27.624 * [backup-simplify]: Simplify 1 into 1 27.624 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.624 * [taylor]: Taking taylor expansion of 1/2 in U 27.624 * [backup-simplify]: Simplify 1/2 into 1/2 27.624 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.624 * [taylor]: Taking taylor expansion of J in U 27.624 * [backup-simplify]: Simplify J into J 27.624 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.624 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.624 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.624 * [taylor]: Taking taylor expansion of -1/2 in U 27.624 * [backup-simplify]: Simplify -1/2 into -1/2 27.624 * [taylor]: Taking taylor expansion of K in U 27.624 * [backup-simplify]: Simplify K into K 27.624 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.624 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.624 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.624 * [taylor]: Taking taylor expansion of U in U 27.624 * [backup-simplify]: Simplify 0 into 0 27.624 * [backup-simplify]: Simplify 1 into 1 27.624 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.624 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.625 * [backup-simplify]: Simplify (- 0) into 0 27.625 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.625 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.625 * [backup-simplify]: Simplify (+ 0) into 0 27.626 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.626 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.627 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.627 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.628 * [backup-simplify]: Simplify (- 0) into 0 27.628 * [backup-simplify]: Simplify (+ 0 0) into 0 27.629 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.629 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.629 * [taylor]: Taking taylor expansion of 1/2 in U 27.629 * [backup-simplify]: Simplify 1/2 into 1/2 27.629 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.629 * [taylor]: Taking taylor expansion of J in U 27.629 * [backup-simplify]: Simplify J into J 27.629 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.629 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.629 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.629 * [taylor]: Taking taylor expansion of -1/2 in U 27.629 * [backup-simplify]: Simplify -1/2 into -1/2 27.629 * [taylor]: Taking taylor expansion of K in U 27.629 * [backup-simplify]: Simplify K into K 27.629 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.629 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.629 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.629 * [taylor]: Taking taylor expansion of U in U 27.629 * [backup-simplify]: Simplify 0 into 0 27.629 * [backup-simplify]: Simplify 1 into 1 27.629 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.629 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.630 * [backup-simplify]: Simplify (- 0) into 0 27.630 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.630 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.630 * [backup-simplify]: Simplify (+ 0) into 0 27.631 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.631 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.632 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.633 * [backup-simplify]: Simplify (- 0) into 0 27.633 * [backup-simplify]: Simplify (+ 0 0) into 0 27.634 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.634 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.634 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.634 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.634 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 27.635 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 27.635 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.636 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.636 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.637 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.637 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.638 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.638 * [backup-simplify]: Simplify (- 0) into 0 27.639 * [backup-simplify]: Simplify (+ 0 0) into 0 27.639 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.640 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.642 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.643 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.644 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.644 * [backup-simplify]: Simplify (- 0) into 0 27.644 * [backup-simplify]: Simplify (+ 0 0) into 0 27.645 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.645 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.646 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 27.646 * [backup-simplify]: Simplify (+ 0 0) into 0 27.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 27.647 * [backup-simplify]: Simplify (sqrt 0) into 0 27.648 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 27.648 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) 0) into 0 27.648 * [backup-simplify]: Simplify (* 2 0) into 0 27.648 * [taylor]: Taking taylor expansion of 0 in J 27.649 * [backup-simplify]: Simplify 0 into 0 27.649 * [backup-simplify]: Simplify (+ 0) into 0 27.649 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.650 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.650 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.651 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.651 * [backup-simplify]: Simplify (- 0) into 0 27.652 * [backup-simplify]: Simplify (+ 0 0) into 0 27.652 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 27.652 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ J (cos (/ -1/2 K))))) (* 0 0)) into (- +nan.0) 27.655 * [backup-simplify]: Simplify (+ (* 2 (- +nan.0)) (* 0 0)) into (- +nan.0) 27.655 * [taylor]: Taking taylor expansion of (- +nan.0) in J 27.655 * [taylor]: Taking taylor expansion of +nan.0 in J 27.655 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.655 * [taylor]: Taking taylor expansion of 0 in K 27.655 * [backup-simplify]: Simplify 0 into 0 27.655 * [backup-simplify]: Simplify 0 into 0 27.656 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 27.657 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.658 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.658 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.659 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.659 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.662 * [backup-simplify]: Simplify (- 0) into 0 27.662 * [backup-simplify]: Simplify (+ 0 0) into 0 27.662 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 27.663 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 (* +nan.0 (/ J (cos (/ -1/2 K))))) (* 0 0))) into (- (* +nan.0 (/ J (cos (/ -1/2 K))))) 27.664 * [backup-simplify]: Simplify (+ (* 2 (- (* +nan.0 (/ J (cos (/ -1/2 K)))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (* +nan.0 (/ J (cos (/ -1/2 K))))) 27.664 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ J (cos (/ -1/2 K))))) in J 27.664 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ -1/2 K)))) in J 27.664 * [taylor]: Taking taylor expansion of +nan.0 in J 27.664 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.664 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 27.664 * [taylor]: Taking taylor expansion of J in J 27.664 * [backup-simplify]: Simplify 0 into 0 27.665 * [backup-simplify]: Simplify 1 into 1 27.665 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.665 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.665 * [taylor]: Taking taylor expansion of -1/2 in J 27.665 * [backup-simplify]: Simplify -1/2 into -1/2 27.665 * [taylor]: Taking taylor expansion of K in J 27.665 * [backup-simplify]: Simplify K into K 27.665 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.665 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.665 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.665 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.665 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.666 * [backup-simplify]: Simplify (- 0) into 0 27.666 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.666 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 27.666 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 27.666 * [taylor]: Taking taylor expansion of (- +nan.0) in K 27.666 * [taylor]: Taking taylor expansion of +nan.0 in K 27.666 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.667 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 27.667 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 27.667 * [taylor]: Taking taylor expansion of 0 in K 27.667 * [backup-simplify]: Simplify 0 into 0 27.667 * [backup-simplify]: Simplify 0 into 0 27.667 * [backup-simplify]: Simplify 0 into 0 27.668 * [backup-simplify]: Simplify (* 1 1) into 1 27.669 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.670 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.672 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.672 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.673 * [backup-simplify]: Simplify (- 0) into 0 27.673 * [backup-simplify]: Simplify (+ 0 0) into 0 27.674 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.674 * [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 27.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 27.676 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.677 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.677 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.679 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.680 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.680 * [backup-simplify]: Simplify (- 0) into 0 27.680 * [backup-simplify]: Simplify (+ 0 0) into 0 27.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.682 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 27.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 27.683 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 27.683 * [backup-simplify]: Simplify (+ 1 0) into 1 27.684 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 27.685 * [backup-simplify]: Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) 27.685 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.686 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.686 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.687 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.687 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.687 * [backup-simplify]: Simplify (- 0) into 0 27.688 * [backup-simplify]: Simplify (+ 0 0) into 0 27.688 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 27.688 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))))) (+ (* 0 (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 (* +nan.0 (/ J (cos (/ -1/2 K))))) (* 0 0)))) into (- (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) 27.690 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (+ (* 0 (- (* +nan.0 (/ J (cos (/ -1/2 K)))))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) 27.690 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) in J 27.690 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) in J 27.690 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 27.690 * [taylor]: Taking taylor expansion of +nan.0 in J 27.690 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.690 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 27.690 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 27.690 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.690 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.690 * [taylor]: Taking taylor expansion of -1/2 in J 27.690 * [backup-simplify]: Simplify -1/2 into -1/2 27.690 * [taylor]: Taking taylor expansion of K in J 27.690 * [backup-simplify]: Simplify K into K 27.690 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.690 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.690 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.690 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.690 * [backup-simplify]: Simplify (- 0) into 0 27.690 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.690 * [taylor]: Taking taylor expansion of (pow J 2) in J 27.690 * [taylor]: Taking taylor expansion of J in J 27.690 * [backup-simplify]: Simplify 0 into 0 27.690 * [backup-simplify]: Simplify 1 into 1 27.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 27.691 * [backup-simplify]: Simplify (* 1 1) into 1 27.691 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 27.691 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 27.691 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 27.691 * [taylor]: Taking taylor expansion of +nan.0 in J 27.691 * [backup-simplify]: Simplify +nan.0 into +nan.0 27.691 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 27.691 * [taylor]: Taking taylor expansion of (pow J 2) in J 27.691 * [taylor]: Taking taylor expansion of J in J 27.691 * [backup-simplify]: Simplify 0 into 0 27.691 * [backup-simplify]: Simplify 1 into 1 27.691 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 27.691 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.691 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.691 * [taylor]: Taking taylor expansion of -1/2 in J 27.691 * [backup-simplify]: Simplify -1/2 into -1/2 27.691 * [taylor]: Taking taylor expansion of K in J 27.691 * [backup-simplify]: Simplify K into K 27.691 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.691 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.691 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.691 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.691 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.692 * [backup-simplify]: Simplify (- 0) into 0 27.692 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.692 * [backup-simplify]: Simplify (* 1 1) into 1 27.692 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 27.692 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 27.692 * [backup-simplify]: Simplify (+ 0) into 0 27.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.693 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.693 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.694 * [backup-simplify]: Simplify (- 0) into 0 27.694 * [backup-simplify]: Simplify (+ 0 0) into 0 27.694 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 27.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 27.695 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 27.696 * [backup-simplify]: Simplify (+ 0 0) into 0 27.696 * [backup-simplify]: Simplify (- 0) into 0 27.696 * [taylor]: Taking taylor expansion of 0 in K 27.696 * [backup-simplify]: Simplify 0 into 0 27.696 * [backup-simplify]: Simplify 0 into 0 27.696 * [backup-simplify]: Simplify (- 0) into 0 27.696 * [taylor]: Taking taylor expansion of 0 in K 27.696 * [backup-simplify]: Simplify 0 into 0 27.696 * [backup-simplify]: Simplify 0 into 0 27.696 * [taylor]: Taking taylor expansion of 0 in K 27.696 * [backup-simplify]: Simplify 0 into 0 27.696 * [backup-simplify]: Simplify 0 into 0 27.697 * [backup-simplify]: Simplify (- 0) into 0 27.697 * [backup-simplify]: Simplify 0 into 0 27.697 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 27.697 * * * * [progress]: [ 4 / 4 ] generating series at (2) 27.697 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 27.697 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 27.697 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 27.697 * [taylor]: Taking taylor expansion of -2 in K 27.697 * [backup-simplify]: Simplify -2 into -2 27.697 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 27.697 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 27.697 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 27.697 * [taylor]: Taking taylor expansion of 1/2 in K 27.697 * [backup-simplify]: Simplify 1/2 into 1/2 27.697 * [taylor]: Taking taylor expansion of K in K 27.697 * [backup-simplify]: Simplify 0 into 0 27.697 * [backup-simplify]: Simplify 1 into 1 27.698 * [backup-simplify]: Simplify (* 1/2 0) into 0 27.698 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 27.698 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 27.698 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 27.698 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 27.698 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 27.698 * [taylor]: Taking taylor expansion of (* 1 1) in K 27.698 * [taylor]: Taking taylor expansion of 1 in K 27.698 * [backup-simplify]: Simplify 1 into 1 27.698 * [taylor]: Taking taylor expansion of 1 in K 27.698 * [backup-simplify]: Simplify 1 into 1 27.698 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 27.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 27.698 * [taylor]: Taking taylor expansion of 1/2 in K 27.698 * [backup-simplify]: Simplify 1/2 into 1/2 27.698 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 27.699 * [taylor]: Taking taylor expansion of U in K 27.699 * [backup-simplify]: Simplify U into U 27.699 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 27.699 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 27.699 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 27.699 * [taylor]: Taking taylor expansion of 1/2 in K 27.699 * [backup-simplify]: Simplify 1/2 into 1/2 27.699 * [taylor]: Taking taylor expansion of K in K 27.699 * [backup-simplify]: Simplify 0 into 0 27.699 * [backup-simplify]: Simplify 1 into 1 27.699 * [backup-simplify]: Simplify (* 1/2 0) into 0 27.699 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 27.699 * [taylor]: Taking taylor expansion of J in K 27.699 * [backup-simplify]: Simplify J into J 27.699 * [backup-simplify]: Simplify (* 1 J) into J 27.700 * [backup-simplify]: Simplify (/ U J) into (/ U J) 27.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 27.700 * [taylor]: Taking taylor expansion of 1/2 in K 27.700 * [backup-simplify]: Simplify 1/2 into 1/2 27.700 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 27.700 * [taylor]: Taking taylor expansion of U in K 27.700 * [backup-simplify]: Simplify U into U 27.700 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 27.700 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 27.700 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 27.700 * [taylor]: Taking taylor expansion of 1/2 in K 27.700 * [backup-simplify]: Simplify 1/2 into 1/2 27.700 * [taylor]: Taking taylor expansion of K in K 27.700 * [backup-simplify]: Simplify 0 into 0 27.700 * [backup-simplify]: Simplify 1 into 1 27.700 * [backup-simplify]: Simplify (* 1/2 0) into 0 27.701 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 27.701 * [taylor]: Taking taylor expansion of J in K 27.701 * [backup-simplify]: Simplify J into J 27.701 * [backup-simplify]: Simplify (* 1 J) into J 27.701 * [backup-simplify]: Simplify (/ U J) into (/ U J) 27.701 * [backup-simplify]: Simplify (* 1 1) into 1 27.701 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 27.701 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 27.701 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 27.701 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 27.701 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 27.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.702 * [backup-simplify]: Simplify (+ 0) into 0 27.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 27.703 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 27.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 27.703 * [backup-simplify]: Simplify (+ 0) into 0 27.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 27.704 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 27.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 27.704 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 27.705 * [backup-simplify]: Simplify (+ 0 0) into 0 27.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 27.705 * [taylor]: Taking taylor expansion of J in K 27.705 * [backup-simplify]: Simplify J into J 27.705 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 27.705 * [taylor]: Taking taylor expansion of -2 in J 27.705 * [backup-simplify]: Simplify -2 into -2 27.705 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 27.705 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.705 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.705 * [taylor]: Taking taylor expansion of 1/2 in J 27.705 * [backup-simplify]: Simplify 1/2 into 1/2 27.705 * [taylor]: Taking taylor expansion of K in J 27.705 * [backup-simplify]: Simplify K into K 27.705 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.705 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.706 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.706 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 27.706 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 27.706 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 27.706 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 27.706 * [taylor]: Taking taylor expansion of (* 1 1) in J 27.706 * [taylor]: Taking taylor expansion of 1 in J 27.706 * [backup-simplify]: Simplify 1 into 1 27.706 * [taylor]: Taking taylor expansion of 1 in J 27.706 * [backup-simplify]: Simplify 1 into 1 27.706 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 27.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 27.706 * [taylor]: Taking taylor expansion of 1/2 in J 27.706 * [backup-simplify]: Simplify 1/2 into 1/2 27.706 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 27.706 * [taylor]: Taking taylor expansion of U in J 27.706 * [backup-simplify]: Simplify U into U 27.706 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 27.706 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.706 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.706 * [taylor]: Taking taylor expansion of 1/2 in J 27.706 * [backup-simplify]: Simplify 1/2 into 1/2 27.706 * [taylor]: Taking taylor expansion of K in J 27.706 * [backup-simplify]: Simplify K into K 27.706 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.706 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.706 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.706 * [taylor]: Taking taylor expansion of J in J 27.706 * [backup-simplify]: Simplify 0 into 0 27.706 * [backup-simplify]: Simplify 1 into 1 27.706 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.706 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.706 * [backup-simplify]: Simplify (- 0) into 0 27.706 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.707 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 27.707 * [backup-simplify]: Simplify (+ 0) into 0 27.707 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.708 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.708 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.708 * [backup-simplify]: Simplify (- 0) into 0 27.709 * [backup-simplify]: Simplify (+ 0 0) into 0 27.709 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 27.709 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 27.709 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 27.709 * [taylor]: Taking taylor expansion of 1/2 in J 27.709 * [backup-simplify]: Simplify 1/2 into 1/2 27.709 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 27.709 * [taylor]: Taking taylor expansion of U in J 27.709 * [backup-simplify]: Simplify U into U 27.709 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 27.709 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.709 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.709 * [taylor]: Taking taylor expansion of 1/2 in J 27.709 * [backup-simplify]: Simplify 1/2 into 1/2 27.709 * [taylor]: Taking taylor expansion of K in J 27.709 * [backup-simplify]: Simplify K into K 27.709 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.709 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.709 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.709 * [taylor]: Taking taylor expansion of J in J 27.709 * [backup-simplify]: Simplify 0 into 0 27.709 * [backup-simplify]: Simplify 1 into 1 27.709 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.710 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.710 * [backup-simplify]: Simplify (- 0) into 0 27.710 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.710 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 27.710 * [backup-simplify]: Simplify (+ 0) into 0 27.710 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.711 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.712 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.712 * [backup-simplify]: Simplify (- 0) into 0 27.713 * [backup-simplify]: Simplify (+ 0 0) into 0 27.713 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 27.713 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 27.713 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 27.713 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 27.714 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 27.714 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 27.714 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 27.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.716 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.717 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.718 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.718 * [backup-simplify]: Simplify (- 0) into 0 27.719 * [backup-simplify]: Simplify (+ 0 0) into 0 27.719 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.720 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 27.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 27.721 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.722 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.723 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.724 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.724 * [backup-simplify]: Simplify (- 0) into 0 27.725 * [backup-simplify]: Simplify (+ 0 0) into 0 27.726 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.726 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 27.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 27.727 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 27.727 * [backup-simplify]: Simplify (+ 0 0) into 0 27.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 27.728 * [taylor]: Taking taylor expansion of J in J 27.728 * [backup-simplify]: Simplify 0 into 0 27.728 * [backup-simplify]: Simplify 1 into 1 27.728 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 27.728 * [taylor]: Taking taylor expansion of -2 in U 27.728 * [backup-simplify]: Simplify -2 into -2 27.728 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 27.728 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.728 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.728 * [taylor]: Taking taylor expansion of 1/2 in U 27.728 * [backup-simplify]: Simplify 1/2 into 1/2 27.728 * [taylor]: Taking taylor expansion of K in U 27.728 * [backup-simplify]: Simplify K into K 27.728 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.728 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.728 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.728 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 27.728 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 27.728 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 27.728 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 27.728 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.728 * [taylor]: Taking taylor expansion of 1 in U 27.728 * [backup-simplify]: Simplify 1 into 1 27.728 * [taylor]: Taking taylor expansion of 1 in U 27.728 * [backup-simplify]: Simplify 1 into 1 27.728 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 27.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 27.729 * [taylor]: Taking taylor expansion of 1/2 in U 27.729 * [backup-simplify]: Simplify 1/2 into 1/2 27.729 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 27.729 * [taylor]: Taking taylor expansion of U in U 27.729 * [backup-simplify]: Simplify 0 into 0 27.729 * [backup-simplify]: Simplify 1 into 1 27.729 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.729 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.729 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.729 * [taylor]: Taking taylor expansion of 1/2 in U 27.729 * [backup-simplify]: Simplify 1/2 into 1/2 27.729 * [taylor]: Taking taylor expansion of K in U 27.729 * [backup-simplify]: Simplify K into K 27.729 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.729 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.729 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.729 * [taylor]: Taking taylor expansion of J in U 27.729 * [backup-simplify]: Simplify J into J 27.729 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.729 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.730 * [backup-simplify]: Simplify (- 0) into 0 27.730 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.730 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.730 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 27.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 27.730 * [taylor]: Taking taylor expansion of 1/2 in U 27.730 * [backup-simplify]: Simplify 1/2 into 1/2 27.730 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 27.730 * [taylor]: Taking taylor expansion of U in U 27.730 * [backup-simplify]: Simplify 0 into 0 27.730 * [backup-simplify]: Simplify 1 into 1 27.730 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.730 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.731 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.731 * [taylor]: Taking taylor expansion of 1/2 in U 27.731 * [backup-simplify]: Simplify 1/2 into 1/2 27.731 * [taylor]: Taking taylor expansion of K in U 27.731 * [backup-simplify]: Simplify K into K 27.731 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.731 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.731 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.731 * [taylor]: Taking taylor expansion of J in U 27.731 * [backup-simplify]: Simplify J into J 27.731 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.731 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.731 * [backup-simplify]: Simplify (- 0) into 0 27.732 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.732 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.732 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 27.732 * [backup-simplify]: Simplify (* 1 1) into 1 27.733 * [backup-simplify]: Simplify (+ 1 0) into 1 27.733 * [backup-simplify]: Simplify (sqrt 1) into 1 27.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.734 * [backup-simplify]: Simplify (+ 0 0) into 0 27.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.735 * [taylor]: Taking taylor expansion of J in U 27.735 * [backup-simplify]: Simplify J into J 27.735 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 27.735 * [taylor]: Taking taylor expansion of -2 in U 27.735 * [backup-simplify]: Simplify -2 into -2 27.735 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 27.735 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.735 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.735 * [taylor]: Taking taylor expansion of 1/2 in U 27.735 * [backup-simplify]: Simplify 1/2 into 1/2 27.735 * [taylor]: Taking taylor expansion of K in U 27.735 * [backup-simplify]: Simplify K into K 27.735 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.735 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.735 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.735 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 27.735 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 27.736 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 27.736 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 27.736 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.736 * [taylor]: Taking taylor expansion of 1 in U 27.736 * [backup-simplify]: Simplify 1 into 1 27.736 * [taylor]: Taking taylor expansion of 1 in U 27.736 * [backup-simplify]: Simplify 1 into 1 27.736 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 27.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 27.736 * [taylor]: Taking taylor expansion of 1/2 in U 27.736 * [backup-simplify]: Simplify 1/2 into 1/2 27.736 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 27.736 * [taylor]: Taking taylor expansion of U in U 27.736 * [backup-simplify]: Simplify 0 into 0 27.736 * [backup-simplify]: Simplify 1 into 1 27.736 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.736 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.736 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.736 * [taylor]: Taking taylor expansion of 1/2 in U 27.736 * [backup-simplify]: Simplify 1/2 into 1/2 27.736 * [taylor]: Taking taylor expansion of K in U 27.736 * [backup-simplify]: Simplify K into K 27.736 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.736 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.736 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.736 * [taylor]: Taking taylor expansion of J in U 27.736 * [backup-simplify]: Simplify J into J 27.736 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.737 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.737 * [backup-simplify]: Simplify (- 0) into 0 27.737 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.737 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.737 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 27.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 27.737 * [taylor]: Taking taylor expansion of 1/2 in U 27.737 * [backup-simplify]: Simplify 1/2 into 1/2 27.737 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 27.737 * [taylor]: Taking taylor expansion of U in U 27.737 * [backup-simplify]: Simplify 0 into 0 27.737 * [backup-simplify]: Simplify 1 into 1 27.737 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 27.737 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 27.737 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 27.738 * [taylor]: Taking taylor expansion of 1/2 in U 27.738 * [backup-simplify]: Simplify 1/2 into 1/2 27.738 * [taylor]: Taking taylor expansion of K in U 27.738 * [backup-simplify]: Simplify K into K 27.738 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.738 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.738 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.738 * [taylor]: Taking taylor expansion of J in U 27.738 * [backup-simplify]: Simplify J into J 27.738 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.738 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.738 * [backup-simplify]: Simplify (- 0) into 0 27.738 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.739 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.739 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 27.739 * [backup-simplify]: Simplify (* 1 1) into 1 27.739 * [backup-simplify]: Simplify (+ 1 0) into 1 27.740 * [backup-simplify]: Simplify (sqrt 1) into 1 27.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.741 * [backup-simplify]: Simplify (+ 0 0) into 0 27.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.742 * [taylor]: Taking taylor expansion of J in U 27.742 * [backup-simplify]: Simplify J into J 27.742 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.742 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.742 * [backup-simplify]: Simplify (- 0) into 0 27.742 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.742 * [backup-simplify]: Simplify (* 1 J) into J 27.743 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 27.743 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 27.743 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 27.743 * [taylor]: Taking taylor expansion of -2 in J 27.743 * [backup-simplify]: Simplify -2 into -2 27.743 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 27.743 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.743 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.743 * [taylor]: Taking taylor expansion of 1/2 in J 27.743 * [backup-simplify]: Simplify 1/2 into 1/2 27.743 * [taylor]: Taking taylor expansion of K in J 27.743 * [backup-simplify]: Simplify K into K 27.743 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.743 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.743 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.743 * [taylor]: Taking taylor expansion of J in J 27.743 * [backup-simplify]: Simplify 0 into 0 27.743 * [backup-simplify]: Simplify 1 into 1 27.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 27.744 * [backup-simplify]: Simplify (+ 0) into 0 27.745 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.746 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.747 * [backup-simplify]: Simplify (- 0) into 0 27.747 * [backup-simplify]: Simplify (+ 0 0) into 0 27.747 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 27.748 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 27.748 * [taylor]: Taking taylor expansion of 0 in J 27.748 * [backup-simplify]: Simplify 0 into 0 27.748 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.748 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.748 * [backup-simplify]: Simplify (- 0) into 0 27.748 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.749 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 27.749 * [backup-simplify]: Simplify (* -2 0) into 0 27.749 * [taylor]: Taking taylor expansion of 0 in K 27.749 * [backup-simplify]: Simplify 0 into 0 27.749 * [backup-simplify]: Simplify 0 into 0 27.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.750 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 27.750 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 27.751 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 27.751 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 27.752 * [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))) 27.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 27.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.755 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.757 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.757 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.758 * [backup-simplify]: Simplify (- 0) into 0 27.758 * [backup-simplify]: Simplify (+ 0 0) into 0 27.759 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 27.759 * [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)))) 27.759 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 27.759 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 27.759 * [taylor]: Taking taylor expansion of 1/4 in J 27.759 * [backup-simplify]: Simplify 1/4 into 1/4 27.759 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 27.759 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 27.759 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 27.759 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 27.759 * [taylor]: Taking taylor expansion of 1/2 in J 27.760 * [backup-simplify]: Simplify 1/2 into 1/2 27.760 * [taylor]: Taking taylor expansion of K in J 27.760 * [backup-simplify]: Simplify K into K 27.760 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 27.760 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 27.760 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 27.760 * [taylor]: Taking taylor expansion of J in J 27.760 * [backup-simplify]: Simplify 0 into 0 27.760 * [backup-simplify]: Simplify 1 into 1 27.760 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 27.760 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 27.760 * [backup-simplify]: Simplify (- 0) into 0 27.760 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 27.761 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 27.761 * [backup-simplify]: Simplify (+ 0) into 0 27.761 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.763 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.764 * [backup-simplify]: Simplify (- 0) into 0 27.764 * [backup-simplify]: Simplify (+ 0 0) into 0 27.764 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 27.765 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 27.765 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 27.765 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 27.765 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 27.765 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 27.765 * [taylor]: Taking taylor expansion of 1/4 in K 27.765 * [backup-simplify]: Simplify 1/4 into 1/4 27.765 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 27.765 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 27.765 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 27.765 * [taylor]: Taking taylor expansion of 1/2 in K 27.765 * [backup-simplify]: Simplify 1/2 into 1/2 27.765 * [taylor]: Taking taylor expansion of K in K 27.765 * [backup-simplify]: Simplify 0 into 0 27.765 * [backup-simplify]: Simplify 1 into 1 27.766 * [backup-simplify]: Simplify (* 1/2 0) into 0 27.767 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 27.767 * [backup-simplify]: Simplify (/ 1 1) into 1 27.767 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 27.768 * [backup-simplify]: Simplify (- 1/4) into -1/4 27.768 * [backup-simplify]: Simplify -1/4 into -1/4 27.768 * [taylor]: Taking taylor expansion of 0 in K 27.768 * [backup-simplify]: Simplify 0 into 0 27.768 * [backup-simplify]: Simplify 0 into 0 27.768 * [backup-simplify]: Simplify (+ 0) into 0 27.768 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.769 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.769 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.770 * [backup-simplify]: Simplify (- 0) into 0 27.770 * [backup-simplify]: Simplify (+ 0 0) into 0 27.770 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 27.771 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 27.771 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 27.771 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 27.771 * [taylor]: Taking taylor expansion of 2 in K 27.771 * [backup-simplify]: Simplify 2 into 2 27.771 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 27.771 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 27.771 * [taylor]: Taking taylor expansion of 1/2 in K 27.771 * [backup-simplify]: Simplify 1/2 into 1/2 27.771 * [taylor]: Taking taylor expansion of K in K 27.771 * [backup-simplify]: Simplify 0 into 0 27.771 * [backup-simplify]: Simplify 1 into 1 27.771 * [backup-simplify]: Simplify (* 1/2 0) into 0 27.772 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 27.772 * [backup-simplify]: Simplify (* 2 1) into 2 27.772 * [backup-simplify]: Simplify (- 2) into -2 27.772 * [backup-simplify]: Simplify -2 into -2 27.772 * [backup-simplify]: Simplify 0 into 0 27.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.773 * [backup-simplify]: Simplify (+ 0) into 0 27.773 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.774 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.775 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.775 * [backup-simplify]: Simplify (- 0) into 0 27.775 * [backup-simplify]: Simplify (+ 0 0) into 0 27.775 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 27.775 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 27.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 27.776 * [backup-simplify]: Simplify (+ 0) into 0 27.776 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 27.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 27.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.777 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 27.778 * [backup-simplify]: Simplify (- 0) into 0 27.778 * [backup-simplify]: Simplify (+ 0 0) into 0 27.778 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 27.778 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 27.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 27.779 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 27.779 * [backup-simplify]: Simplify (+ 0 0) into 0 27.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 27.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 27.781 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.781 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 27.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.783 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.784 * [backup-simplify]: Simplify (- 0) into 0 27.785 * [backup-simplify]: Simplify (+ 0 0) into 0 27.786 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 27.786 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 27.787 * [taylor]: Taking taylor expansion of 0 in J 27.787 * [backup-simplify]: Simplify 0 into 0 27.787 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.788 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.789 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.789 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.789 * [backup-simplify]: Simplify (- 0) into 0 27.790 * [backup-simplify]: Simplify (+ 0 0) into 0 27.790 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 27.791 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 27.791 * [backup-simplify]: Simplify (- 0) into 0 27.791 * [taylor]: Taking taylor expansion of 0 in K 27.791 * [backup-simplify]: Simplify 0 into 0 27.791 * [backup-simplify]: Simplify 0 into 0 27.791 * [taylor]: Taking taylor expansion of 0 in K 27.791 * [backup-simplify]: Simplify 0 into 0 27.791 * [backup-simplify]: Simplify 0 into 0 27.791 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.792 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 27.793 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.793 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.793 * [backup-simplify]: Simplify (- 0) into 0 27.794 * [backup-simplify]: Simplify (+ 0 0) into 0 27.794 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.795 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 27.795 * [taylor]: Taking taylor expansion of 0 in K 27.795 * [backup-simplify]: Simplify 0 into 0 27.795 * [backup-simplify]: Simplify 0 into 0 27.795 * [backup-simplify]: Simplify (+ 0) into 0 27.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.796 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 27.796 * [backup-simplify]: Simplify (- 0) into 0 27.796 * [backup-simplify]: Simplify 0 into 0 27.796 * [backup-simplify]: Simplify 0 into 0 27.796 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 27.797 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))))) (* (sqrt (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 27.797 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 27.797 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 27.797 * [taylor]: Taking taylor expansion of -2 in K 27.797 * [backup-simplify]: Simplify -2 into -2 27.797 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 27.797 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 27.797 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 27.797 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 27.797 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 27.797 * [taylor]: Taking taylor expansion of (* 1 1) in K 27.797 * [taylor]: Taking taylor expansion of 1 in K 27.797 * [backup-simplify]: Simplify 1 into 1 27.797 * [taylor]: Taking taylor expansion of 1 in K 27.797 * [backup-simplify]: Simplify 1 into 1 27.797 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 27.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 27.797 * [taylor]: Taking taylor expansion of 1/2 in K 27.797 * [backup-simplify]: Simplify 1/2 into 1/2 27.797 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 27.797 * [taylor]: Taking taylor expansion of J in K 27.797 * [backup-simplify]: Simplify J into J 27.797 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 27.797 * [taylor]: Taking taylor expansion of U in K 27.797 * [backup-simplify]: Simplify U into U 27.797 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 27.797 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 27.797 * [taylor]: Taking taylor expansion of 1/2 in K 27.797 * [backup-simplify]: Simplify 1/2 into 1/2 27.797 * [taylor]: Taking taylor expansion of K in K 27.797 * [backup-simplify]: Simplify 0 into 0 27.797 * [backup-simplify]: Simplify 1 into 1 27.798 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 27.798 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.798 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 27.798 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 27.798 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 27.798 * [taylor]: Taking taylor expansion of 1/2 in K 27.798 * [backup-simplify]: Simplify 1/2 into 1/2 27.798 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 27.798 * [taylor]: Taking taylor expansion of J in K 27.798 * [backup-simplify]: Simplify J into J 27.798 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 27.798 * [taylor]: Taking taylor expansion of U in K 27.798 * [backup-simplify]: Simplify U into U 27.798 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 27.798 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 27.798 * [taylor]: Taking taylor expansion of 1/2 in K 27.798 * [backup-simplify]: Simplify 1/2 into 1/2 27.798 * [taylor]: Taking taylor expansion of K in K 27.798 * [backup-simplify]: Simplify 0 into 0 27.798 * [backup-simplify]: Simplify 1 into 1 27.798 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 27.798 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.798 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 27.799 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 27.799 * [backup-simplify]: Simplify (* 1 1) into 1 27.799 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 27.799 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 27.799 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 27.799 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 27.800 * [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)) 27.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.800 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 27.800 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 27.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 27.801 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 27.801 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 27.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 27.801 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 27.802 * [backup-simplify]: Simplify (+ 0 0) into 0 27.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 27.802 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 27.802 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 27.802 * [taylor]: Taking taylor expansion of 1/2 in K 27.802 * [backup-simplify]: Simplify 1/2 into 1/2 27.802 * [taylor]: Taking taylor expansion of K in K 27.802 * [backup-simplify]: Simplify 0 into 0 27.802 * [backup-simplify]: Simplify 1 into 1 27.802 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 27.802 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.802 * [taylor]: Taking taylor expansion of J in K 27.802 * [backup-simplify]: Simplify J into J 27.803 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 27.803 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 27.803 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 27.803 * [taylor]: Taking taylor expansion of -2 in J 27.803 * [backup-simplify]: Simplify -2 into -2 27.803 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 27.803 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 27.803 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 27.803 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 27.803 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 27.803 * [taylor]: Taking taylor expansion of (* 1 1) in J 27.803 * [taylor]: Taking taylor expansion of 1 in J 27.803 * [backup-simplify]: Simplify 1 into 1 27.803 * [taylor]: Taking taylor expansion of 1 in J 27.803 * [backup-simplify]: Simplify 1 into 1 27.803 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 27.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 27.804 * [taylor]: Taking taylor expansion of 1/2 in J 27.804 * [backup-simplify]: Simplify 1/2 into 1/2 27.804 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 27.804 * [taylor]: Taking taylor expansion of J in J 27.804 * [backup-simplify]: Simplify 0 into 0 27.804 * [backup-simplify]: Simplify 1 into 1 27.804 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 27.804 * [taylor]: Taking taylor expansion of U in J 27.804 * [backup-simplify]: Simplify U into U 27.804 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.804 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.804 * [taylor]: Taking taylor expansion of 1/2 in J 27.804 * [backup-simplify]: Simplify 1/2 into 1/2 27.804 * [taylor]: Taking taylor expansion of K in J 27.804 * [backup-simplify]: Simplify K into K 27.804 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.804 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.804 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.804 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.804 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.805 * [backup-simplify]: Simplify (- 0) into 0 27.805 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.805 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 27.805 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 27.805 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 27.805 * [taylor]: Taking taylor expansion of 1/2 in J 27.805 * [backup-simplify]: Simplify 1/2 into 1/2 27.805 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 27.805 * [taylor]: Taking taylor expansion of J in J 27.805 * [backup-simplify]: Simplify 0 into 0 27.805 * [backup-simplify]: Simplify 1 into 1 27.805 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 27.805 * [taylor]: Taking taylor expansion of U in J 27.805 * [backup-simplify]: Simplify U into U 27.806 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.806 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.806 * [taylor]: Taking taylor expansion of 1/2 in J 27.806 * [backup-simplify]: Simplify 1/2 into 1/2 27.806 * [taylor]: Taking taylor expansion of K in J 27.806 * [backup-simplify]: Simplify K into K 27.806 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.806 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.806 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.806 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.807 * [backup-simplify]: Simplify (- 0) into 0 27.807 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.807 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 27.807 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 27.807 * [backup-simplify]: Simplify (* 1 1) into 1 27.808 * [backup-simplify]: Simplify (+ 1 0) into 1 27.808 * [backup-simplify]: Simplify (sqrt 1) into 1 27.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.809 * [backup-simplify]: Simplify (+ 0 0) into 0 27.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.810 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.810 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.810 * [taylor]: Taking taylor expansion of 1/2 in J 27.810 * [backup-simplify]: Simplify 1/2 into 1/2 27.810 * [taylor]: Taking taylor expansion of K in J 27.810 * [backup-simplify]: Simplify K into K 27.810 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.810 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.810 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.810 * [taylor]: Taking taylor expansion of J in J 27.811 * [backup-simplify]: Simplify 0 into 0 27.811 * [backup-simplify]: Simplify 1 into 1 27.811 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.811 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.811 * [backup-simplify]: Simplify (- 0) into 0 27.811 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.811 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 27.811 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.811 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 27.811 * [taylor]: Taking taylor expansion of -2 in U 27.811 * [backup-simplify]: Simplify -2 into -2 27.811 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 27.811 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 27.812 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 27.812 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 27.812 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 27.812 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.812 * [taylor]: Taking taylor expansion of 1 in U 27.812 * [backup-simplify]: Simplify 1 into 1 27.812 * [taylor]: Taking taylor expansion of 1 in U 27.812 * [backup-simplify]: Simplify 1 into 1 27.812 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 27.812 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 27.812 * [taylor]: Taking taylor expansion of 1/2 in U 27.812 * [backup-simplify]: Simplify 1/2 into 1/2 27.812 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 27.812 * [taylor]: Taking taylor expansion of J in U 27.812 * [backup-simplify]: Simplify J into J 27.812 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 27.812 * [taylor]: Taking taylor expansion of U in U 27.812 * [backup-simplify]: Simplify 0 into 0 27.812 * [backup-simplify]: Simplify 1 into 1 27.812 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.812 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.812 * [taylor]: Taking taylor expansion of 1/2 in U 27.812 * [backup-simplify]: Simplify 1/2 into 1/2 27.812 * [taylor]: Taking taylor expansion of K in U 27.812 * [backup-simplify]: Simplify K into K 27.812 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.812 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.812 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.812 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.813 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.813 * [backup-simplify]: Simplify (- 0) into 0 27.813 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.813 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 27.814 * [backup-simplify]: Simplify (+ 0) into 0 27.814 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.814 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.815 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.816 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.816 * [backup-simplify]: Simplify (- 0) into 0 27.817 * [backup-simplify]: Simplify (+ 0 0) into 0 27.817 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 27.817 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 27.817 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 27.817 * [taylor]: Taking taylor expansion of 1/2 in U 27.817 * [backup-simplify]: Simplify 1/2 into 1/2 27.817 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 27.817 * [taylor]: Taking taylor expansion of J in U 27.817 * [backup-simplify]: Simplify J into J 27.817 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 27.817 * [taylor]: Taking taylor expansion of U in U 27.817 * [backup-simplify]: Simplify 0 into 0 27.817 * [backup-simplify]: Simplify 1 into 1 27.817 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.817 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.817 * [taylor]: Taking taylor expansion of 1/2 in U 27.818 * [backup-simplify]: Simplify 1/2 into 1/2 27.818 * [taylor]: Taking taylor expansion of K in U 27.818 * [backup-simplify]: Simplify K into K 27.818 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.818 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.818 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.818 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.818 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.818 * [backup-simplify]: Simplify (- 0) into 0 27.818 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.819 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 27.819 * [backup-simplify]: Simplify (+ 0) into 0 27.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.820 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.820 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.821 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.821 * [backup-simplify]: Simplify (- 0) into 0 27.822 * [backup-simplify]: Simplify (+ 0 0) into 0 27.822 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 27.822 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 27.822 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.822 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.823 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 27.823 * [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))) 27.823 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.824 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.825 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.825 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.826 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.826 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.827 * [backup-simplify]: Simplify (- 0) into 0 27.827 * [backup-simplify]: Simplify (+ 0 0) into 0 27.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 27.828 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 27.830 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.830 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.831 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.831 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.832 * [backup-simplify]: Simplify (- 0) into 0 27.833 * [backup-simplify]: Simplify (+ 0 0) into 0 27.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 27.834 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 27.835 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 27.835 * [backup-simplify]: Simplify (+ 0 0) into 0 27.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 27.835 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.835 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.835 * [taylor]: Taking taylor expansion of 1/2 in U 27.835 * [backup-simplify]: Simplify 1/2 into 1/2 27.835 * [taylor]: Taking taylor expansion of K in U 27.835 * [backup-simplify]: Simplify K into K 27.835 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.835 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.836 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.836 * [taylor]: Taking taylor expansion of J in U 27.836 * [backup-simplify]: Simplify J into J 27.836 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.836 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.836 * [backup-simplify]: Simplify (- 0) into 0 27.836 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.836 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 27.837 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 27.837 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 27.837 * [taylor]: Taking taylor expansion of -2 in U 27.837 * [backup-simplify]: Simplify -2 into -2 27.837 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 27.837 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 27.837 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 27.837 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 27.837 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 27.837 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.837 * [taylor]: Taking taylor expansion of 1 in U 27.837 * [backup-simplify]: Simplify 1 into 1 27.837 * [taylor]: Taking taylor expansion of 1 in U 27.837 * [backup-simplify]: Simplify 1 into 1 27.837 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 27.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 27.837 * [taylor]: Taking taylor expansion of 1/2 in U 27.837 * [backup-simplify]: Simplify 1/2 into 1/2 27.837 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 27.837 * [taylor]: Taking taylor expansion of J in U 27.837 * [backup-simplify]: Simplify J into J 27.837 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 27.837 * [taylor]: Taking taylor expansion of U in U 27.837 * [backup-simplify]: Simplify 0 into 0 27.837 * [backup-simplify]: Simplify 1 into 1 27.837 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.837 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.837 * [taylor]: Taking taylor expansion of 1/2 in U 27.837 * [backup-simplify]: Simplify 1/2 into 1/2 27.837 * [taylor]: Taking taylor expansion of K in U 27.837 * [backup-simplify]: Simplify K into K 27.837 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.838 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.838 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.838 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.838 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.838 * [backup-simplify]: Simplify (- 0) into 0 27.838 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.838 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 27.839 * [backup-simplify]: Simplify (+ 0) into 0 27.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.840 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.841 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.841 * [backup-simplify]: Simplify (- 0) into 0 27.842 * [backup-simplify]: Simplify (+ 0 0) into 0 27.842 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 27.842 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 27.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 27.842 * [taylor]: Taking taylor expansion of 1/2 in U 27.842 * [backup-simplify]: Simplify 1/2 into 1/2 27.842 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 27.842 * [taylor]: Taking taylor expansion of J in U 27.842 * [backup-simplify]: Simplify J into J 27.842 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 27.842 * [taylor]: Taking taylor expansion of U in U 27.842 * [backup-simplify]: Simplify 0 into 0 27.842 * [backup-simplify]: Simplify 1 into 1 27.842 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.842 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.842 * [taylor]: Taking taylor expansion of 1/2 in U 27.843 * [backup-simplify]: Simplify 1/2 into 1/2 27.843 * [taylor]: Taking taylor expansion of K in U 27.843 * [backup-simplify]: Simplify K into K 27.843 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.843 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.843 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.843 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.843 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.843 * [backup-simplify]: Simplify (- 0) into 0 27.843 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.844 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 27.844 * [backup-simplify]: Simplify (+ 0) into 0 27.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.845 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.846 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.846 * [backup-simplify]: Simplify (- 0) into 0 27.847 * [backup-simplify]: Simplify (+ 0 0) into 0 27.847 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 27.847 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 27.847 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.847 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.848 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 27.848 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 27.848 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 27.849 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.850 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.850 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.851 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.851 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.852 * [backup-simplify]: Simplify (- 0) into 0 27.852 * [backup-simplify]: Simplify (+ 0 0) into 0 27.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 27.853 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 27.855 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.855 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.855 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.856 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.857 * [backup-simplify]: Simplify (- 0) into 0 27.858 * [backup-simplify]: Simplify (+ 0 0) into 0 27.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 27.859 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 27.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 27.860 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 27.860 * [backup-simplify]: Simplify (+ 0 0) into 0 27.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 27.860 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 27.860 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 27.860 * [taylor]: Taking taylor expansion of 1/2 in U 27.860 * [backup-simplify]: Simplify 1/2 into 1/2 27.860 * [taylor]: Taking taylor expansion of K in U 27.860 * [backup-simplify]: Simplify K into K 27.861 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.861 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.861 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.861 * [taylor]: Taking taylor expansion of J in U 27.861 * [backup-simplify]: Simplify J into J 27.861 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.861 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.861 * [backup-simplify]: Simplify (- 0) into 0 27.861 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.862 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 27.862 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 27.862 * [backup-simplify]: Simplify (* -2 1/2) into -1 27.862 * [taylor]: Taking taylor expansion of -1 in J 27.862 * [backup-simplify]: Simplify -1 into -1 27.863 * [backup-simplify]: Simplify (+ 0) into 0 27.863 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.863 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.864 * [backup-simplify]: Simplify (- 0) into 0 27.864 * [backup-simplify]: Simplify (+ 0 0) into 0 27.865 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 27.865 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 27.865 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 27.865 * [taylor]: Taking taylor expansion of 0 in J 27.865 * [backup-simplify]: Simplify 0 into 0 27.865 * [taylor]: Taking taylor expansion of -1 in K 27.865 * [backup-simplify]: Simplify -1 into -1 27.865 * [backup-simplify]: Simplify -1 into -1 27.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.866 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.867 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.867 * [backup-simplify]: Simplify (- 0) into 0 27.868 * [backup-simplify]: Simplify (+ 0 0) into 0 27.868 * [backup-simplify]: Simplify (* 1 1) into 1 27.868 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.869 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.869 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.870 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.871 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.871 * [backup-simplify]: Simplify (- 0) into 0 27.871 * [backup-simplify]: Simplify (+ 0 0) into 0 27.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 27.872 * [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 27.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 27.873 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.874 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.874 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.875 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.876 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.876 * [backup-simplify]: Simplify (- 0) into 0 27.876 * [backup-simplify]: Simplify (+ 0 0) into 0 27.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 27.877 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 27.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 27.878 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 27.878 * [backup-simplify]: Simplify (+ 1 0) into 1 27.879 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 27.879 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 27.880 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 27.880 * [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)))) 27.880 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 27.880 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 27.880 * [taylor]: Taking taylor expansion of 2 in J 27.880 * [backup-simplify]: Simplify 2 into 2 27.880 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 27.880 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 27.880 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 27.880 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 27.880 * [taylor]: Taking taylor expansion of 1/2 in J 27.880 * [backup-simplify]: Simplify 1/2 into 1/2 27.880 * [taylor]: Taking taylor expansion of K in J 27.880 * [backup-simplify]: Simplify K into K 27.880 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 27.880 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 27.880 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 27.880 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 27.880 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 27.881 * [backup-simplify]: Simplify (- 0) into 0 27.881 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 27.881 * [taylor]: Taking taylor expansion of (pow J 2) in J 27.881 * [taylor]: Taking taylor expansion of J in J 27.881 * [backup-simplify]: Simplify 0 into 0 27.881 * [backup-simplify]: Simplify 1 into 1 27.881 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 27.881 * [backup-simplify]: Simplify (* 1 1) into 1 27.881 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 27.882 * [backup-simplify]: Simplify (+ 0) into 0 27.882 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 27.882 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 27.882 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 27.883 * [backup-simplify]: Simplify (- 0) into 0 27.883 * [backup-simplify]: Simplify (+ 0 0) into 0 27.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 27.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 27.885 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 27.885 * [backup-simplify]: Simplify (- 0) into 0 27.885 * [taylor]: Taking taylor expansion of 0 in K 27.885 * [backup-simplify]: Simplify 0 into 0 27.885 * [backup-simplify]: Simplify 0 into 0 27.885 * [taylor]: Taking taylor expansion of 0 in K 27.885 * [backup-simplify]: Simplify 0 into 0 27.885 * [backup-simplify]: Simplify 0 into 0 27.885 * [taylor]: Taking taylor expansion of 0 in K 27.885 * [backup-simplify]: Simplify 0 into 0 27.885 * [backup-simplify]: Simplify 0 into 0 27.885 * [backup-simplify]: Simplify 0 into 0 27.886 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.886 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.886 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.887 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.888 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.888 * [backup-simplify]: Simplify (- 0) into 0 27.888 * [backup-simplify]: Simplify (+ 0 0) into 0 27.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.890 * [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 27.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 27.891 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.892 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 27.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 27.892 * [backup-simplify]: Simplify (- 0) into 0 27.893 * [backup-simplify]: Simplify (+ 0 0) into 0 27.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 27.894 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 27.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 27.896 * [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 27.897 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 27.897 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.898 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 27.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 27.900 * [backup-simplify]: Simplify (- 0) into 0 27.900 * [backup-simplify]: Simplify (+ 0 0) into 0 27.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 27.902 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 27.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 27.903 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 27.903 * [backup-simplify]: Simplify (+ 0 0) into 0 27.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 27.904 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 27.904 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 27.905 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 27.905 * [taylor]: Taking taylor expansion of 0 in J 27.905 * [backup-simplify]: Simplify 0 into 0 27.905 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.906 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.906 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.906 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.907 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.907 * [backup-simplify]: Simplify (- 0) into 0 27.907 * [backup-simplify]: Simplify (+ 0 0) into 0 27.908 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 27.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 27.910 * [backup-simplify]: Simplify (- 0) into 0 27.910 * [taylor]: Taking taylor expansion of 0 in K 27.910 * [backup-simplify]: Simplify 0 into 0 27.910 * [backup-simplify]: Simplify 0 into 0 27.910 * [taylor]: Taking taylor expansion of 0 in K 27.910 * [backup-simplify]: Simplify 0 into 0 27.910 * [backup-simplify]: Simplify 0 into 0 27.910 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 27.911 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))))) (* (sqrt (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 27.911 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 27.911 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 27.911 * [taylor]: Taking taylor expansion of 2 in K 27.911 * [backup-simplify]: Simplify 2 into 2 27.911 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 27.911 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 27.911 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 27.911 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 27.911 * [taylor]: Taking taylor expansion of -1/2 in K 27.911 * [backup-simplify]: Simplify -1/2 into -1/2 27.911 * [taylor]: Taking taylor expansion of K in K 27.911 * [backup-simplify]: Simplify 0 into 0 27.911 * [backup-simplify]: Simplify 1 into 1 27.911 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 27.911 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.911 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 27.911 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.911 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 27.911 * [taylor]: Taking taylor expansion of (* 1 1) in K 27.911 * [taylor]: Taking taylor expansion of 1 in K 27.911 * [backup-simplify]: Simplify 1 into 1 27.911 * [taylor]: Taking taylor expansion of 1 in K 27.911 * [backup-simplify]: Simplify 1 into 1 27.911 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 27.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 27.911 * [taylor]: Taking taylor expansion of 1/2 in K 27.911 * [backup-simplify]: Simplify 1/2 into 1/2 27.911 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 27.911 * [taylor]: Taking taylor expansion of J in K 27.911 * [backup-simplify]: Simplify J into J 27.911 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 27.911 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 27.911 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 27.912 * [taylor]: Taking taylor expansion of -1/2 in K 27.912 * [backup-simplify]: Simplify -1/2 into -1/2 27.912 * [taylor]: Taking taylor expansion of K in K 27.912 * [backup-simplify]: Simplify 0 into 0 27.912 * [backup-simplify]: Simplify 1 into 1 27.912 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 27.912 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.912 * [taylor]: Taking taylor expansion of U in K 27.912 * [backup-simplify]: Simplify U into U 27.912 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.912 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 27.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 27.912 * [taylor]: Taking taylor expansion of 1/2 in K 27.912 * [backup-simplify]: Simplify 1/2 into 1/2 27.912 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 27.912 * [taylor]: Taking taylor expansion of J in K 27.912 * [backup-simplify]: Simplify J into J 27.912 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 27.912 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 27.912 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 27.912 * [taylor]: Taking taylor expansion of -1/2 in K 27.912 * [backup-simplify]: Simplify -1/2 into -1/2 27.912 * [taylor]: Taking taylor expansion of K in K 27.912 * [backup-simplify]: Simplify 0 into 0 27.912 * [backup-simplify]: Simplify 1 into 1 27.913 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 27.913 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.913 * [taylor]: Taking taylor expansion of U in K 27.913 * [backup-simplify]: Simplify U into U 27.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.913 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 27.913 * [backup-simplify]: Simplify (* 1 1) into 1 27.913 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 27.913 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 27.913 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 27.914 * [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))))) 27.914 * [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)))))) 27.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 27.914 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 27.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 27.915 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 27.915 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 27.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 27.916 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 27.916 * [backup-simplify]: Simplify (+ 0 0) into 0 27.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 27.916 * [taylor]: Taking taylor expansion of J in K 27.916 * [backup-simplify]: Simplify J into J 27.916 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 27.917 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 27.917 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 27.917 * [taylor]: Taking taylor expansion of 2 in J 27.917 * [backup-simplify]: Simplify 2 into 2 27.917 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 27.917 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 27.917 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.917 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.917 * [taylor]: Taking taylor expansion of -1/2 in J 27.917 * [backup-simplify]: Simplify -1/2 into -1/2 27.917 * [taylor]: Taking taylor expansion of K in J 27.917 * [backup-simplify]: Simplify K into K 27.917 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.917 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.917 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.917 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 27.917 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.917 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 27.917 * [taylor]: Taking taylor expansion of (* 1 1) in J 27.917 * [taylor]: Taking taylor expansion of 1 in J 27.917 * [backup-simplify]: Simplify 1 into 1 27.917 * [taylor]: Taking taylor expansion of 1 in J 27.917 * [backup-simplify]: Simplify 1 into 1 27.917 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 27.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 27.917 * [taylor]: Taking taylor expansion of 1/2 in J 27.917 * [backup-simplify]: Simplify 1/2 into 1/2 27.917 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 27.917 * [taylor]: Taking taylor expansion of J in J 27.917 * [backup-simplify]: Simplify 0 into 0 27.917 * [backup-simplify]: Simplify 1 into 1 27.917 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 27.917 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.917 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.917 * [taylor]: Taking taylor expansion of -1/2 in J 27.917 * [backup-simplify]: Simplify -1/2 into -1/2 27.917 * [taylor]: Taking taylor expansion of K in J 27.917 * [backup-simplify]: Simplify K into K 27.918 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.918 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.918 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.918 * [taylor]: Taking taylor expansion of U in J 27.918 * [backup-simplify]: Simplify U into U 27.918 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.918 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.918 * [backup-simplify]: Simplify (- 0) into 0 27.918 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.918 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.918 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 27.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 27.918 * [taylor]: Taking taylor expansion of 1/2 in J 27.918 * [backup-simplify]: Simplify 1/2 into 1/2 27.918 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 27.918 * [taylor]: Taking taylor expansion of J in J 27.918 * [backup-simplify]: Simplify 0 into 0 27.918 * [backup-simplify]: Simplify 1 into 1 27.918 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 27.918 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.918 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.918 * [taylor]: Taking taylor expansion of -1/2 in J 27.918 * [backup-simplify]: Simplify -1/2 into -1/2 27.918 * [taylor]: Taking taylor expansion of K in J 27.918 * [backup-simplify]: Simplify K into K 27.918 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.918 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.918 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.919 * [taylor]: Taking taylor expansion of U in J 27.919 * [backup-simplify]: Simplify U into U 27.919 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.919 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.919 * [backup-simplify]: Simplify (- 0) into 0 27.919 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.919 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 27.919 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 27.919 * [backup-simplify]: Simplify (* 1 1) into 1 27.920 * [backup-simplify]: Simplify (+ 1 0) into 1 27.920 * [backup-simplify]: Simplify (sqrt 1) into 1 27.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.920 * [backup-simplify]: Simplify (+ 0 0) into 0 27.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.921 * [taylor]: Taking taylor expansion of J in J 27.921 * [backup-simplify]: Simplify 0 into 0 27.921 * [backup-simplify]: Simplify 1 into 1 27.921 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.921 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.921 * [backup-simplify]: Simplify (- 0) into 0 27.921 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.921 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.922 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.922 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 27.922 * [taylor]: Taking taylor expansion of 2 in U 27.922 * [backup-simplify]: Simplify 2 into 2 27.922 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 27.922 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.922 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.922 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.922 * [taylor]: Taking taylor expansion of -1/2 in U 27.922 * [backup-simplify]: Simplify -1/2 into -1/2 27.922 * [taylor]: Taking taylor expansion of K in U 27.922 * [backup-simplify]: Simplify K into K 27.922 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.922 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.922 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.922 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.922 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.922 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.922 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.922 * [taylor]: Taking taylor expansion of 1 in U 27.922 * [backup-simplify]: Simplify 1 into 1 27.922 * [taylor]: Taking taylor expansion of 1 in U 27.922 * [backup-simplify]: Simplify 1 into 1 27.922 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.922 * [taylor]: Taking taylor expansion of 1/2 in U 27.922 * [backup-simplify]: Simplify 1/2 into 1/2 27.922 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.922 * [taylor]: Taking taylor expansion of J in U 27.922 * [backup-simplify]: Simplify J into J 27.922 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.922 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.922 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.922 * [taylor]: Taking taylor expansion of -1/2 in U 27.922 * [backup-simplify]: Simplify -1/2 into -1/2 27.922 * [taylor]: Taking taylor expansion of K in U 27.922 * [backup-simplify]: Simplify K into K 27.922 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.922 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.922 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.922 * [taylor]: Taking taylor expansion of U in U 27.922 * [backup-simplify]: Simplify 0 into 0 27.922 * [backup-simplify]: Simplify 1 into 1 27.922 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.922 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.923 * [backup-simplify]: Simplify (- 0) into 0 27.923 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.923 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.923 * [backup-simplify]: Simplify (+ 0) into 0 27.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.924 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.924 * [backup-simplify]: Simplify (- 0) into 0 27.925 * [backup-simplify]: Simplify (+ 0 0) into 0 27.925 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.925 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.925 * [taylor]: Taking taylor expansion of 1/2 in U 27.925 * [backup-simplify]: Simplify 1/2 into 1/2 27.925 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.925 * [taylor]: Taking taylor expansion of J in U 27.925 * [backup-simplify]: Simplify J into J 27.925 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.925 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.925 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.925 * [taylor]: Taking taylor expansion of -1/2 in U 27.925 * [backup-simplify]: Simplify -1/2 into -1/2 27.925 * [taylor]: Taking taylor expansion of K in U 27.925 * [backup-simplify]: Simplify K into K 27.925 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.925 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.925 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.925 * [taylor]: Taking taylor expansion of U in U 27.925 * [backup-simplify]: Simplify 0 into 0 27.925 * [backup-simplify]: Simplify 1 into 1 27.926 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.926 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.926 * [backup-simplify]: Simplify (- 0) into 0 27.926 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.926 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.926 * [backup-simplify]: Simplify (+ 0) into 0 27.927 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.927 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.927 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.928 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.928 * [backup-simplify]: Simplify (- 0) into 0 27.928 * [backup-simplify]: Simplify (+ 0 0) into 0 27.928 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.928 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.929 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.929 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.929 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 27.929 * [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))) 27.929 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.931 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.931 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.931 * [backup-simplify]: Simplify (- 0) into 0 27.932 * [backup-simplify]: Simplify (+ 0 0) into 0 27.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.932 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.933 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.933 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.934 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.934 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.934 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.935 * [backup-simplify]: Simplify (- 0) into 0 27.935 * [backup-simplify]: Simplify (+ 0 0) into 0 27.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.935 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.936 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 27.936 * [backup-simplify]: Simplify (+ 0 0) into 0 27.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 27.936 * [taylor]: Taking taylor expansion of J in U 27.936 * [backup-simplify]: Simplify J into J 27.936 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.937 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.937 * [backup-simplify]: Simplify (- 0) into 0 27.937 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.937 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 27.937 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 27.937 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 27.937 * [taylor]: Taking taylor expansion of 2 in U 27.937 * [backup-simplify]: Simplify 2 into 2 27.937 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 27.937 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.937 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.937 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.937 * [taylor]: Taking taylor expansion of -1/2 in U 27.937 * [backup-simplify]: Simplify -1/2 into -1/2 27.937 * [taylor]: Taking taylor expansion of K in U 27.937 * [backup-simplify]: Simplify K into K 27.937 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.937 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.937 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.937 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.937 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 27.937 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 27.937 * [taylor]: Taking taylor expansion of (* 1 1) in U 27.937 * [taylor]: Taking taylor expansion of 1 in U 27.937 * [backup-simplify]: Simplify 1 into 1 27.938 * [taylor]: Taking taylor expansion of 1 in U 27.938 * [backup-simplify]: Simplify 1 into 1 27.938 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 27.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.938 * [taylor]: Taking taylor expansion of 1/2 in U 27.938 * [backup-simplify]: Simplify 1/2 into 1/2 27.938 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.938 * [taylor]: Taking taylor expansion of J in U 27.938 * [backup-simplify]: Simplify J into J 27.938 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.938 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.938 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.938 * [taylor]: Taking taylor expansion of -1/2 in U 27.938 * [backup-simplify]: Simplify -1/2 into -1/2 27.938 * [taylor]: Taking taylor expansion of K in U 27.938 * [backup-simplify]: Simplify K into K 27.938 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.938 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.938 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.938 * [taylor]: Taking taylor expansion of U in U 27.938 * [backup-simplify]: Simplify 0 into 0 27.938 * [backup-simplify]: Simplify 1 into 1 27.938 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.938 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.938 * [backup-simplify]: Simplify (- 0) into 0 27.938 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.938 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.939 * [backup-simplify]: Simplify (+ 0) into 0 27.939 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.939 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.940 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.940 * [backup-simplify]: Simplify (- 0) into 0 27.941 * [backup-simplify]: Simplify (+ 0 0) into 0 27.941 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.941 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 27.941 * [taylor]: Taking taylor expansion of 1/2 in U 27.941 * [backup-simplify]: Simplify 1/2 into 1/2 27.941 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 27.941 * [taylor]: Taking taylor expansion of J in U 27.941 * [backup-simplify]: Simplify J into J 27.941 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 27.941 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 27.941 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 27.941 * [taylor]: Taking taylor expansion of -1/2 in U 27.941 * [backup-simplify]: Simplify -1/2 into -1/2 27.941 * [taylor]: Taking taylor expansion of K in U 27.941 * [backup-simplify]: Simplify K into K 27.941 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.941 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.941 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.941 * [taylor]: Taking taylor expansion of U in U 27.941 * [backup-simplify]: Simplify 0 into 0 27.941 * [backup-simplify]: Simplify 1 into 1 27.941 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.941 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.942 * [backup-simplify]: Simplify (- 0) into 0 27.942 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.942 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 27.942 * [backup-simplify]: Simplify (+ 0) into 0 27.942 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.942 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.943 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.943 * [backup-simplify]: Simplify (- 0) into 0 27.944 * [backup-simplify]: Simplify (+ 0 0) into 0 27.944 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 27.944 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 27.944 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.944 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.944 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 27.944 * [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))) 27.945 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 27.945 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.946 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.946 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.946 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.947 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.947 * [backup-simplify]: Simplify (- 0) into 0 27.947 * [backup-simplify]: Simplify (+ 0 0) into 0 27.948 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.948 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.949 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.950 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.950 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.951 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.952 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.952 * [backup-simplify]: Simplify (- 0) into 0 27.952 * [backup-simplify]: Simplify (+ 0 0) into 0 27.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 27.953 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 27.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 27.954 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 27.955 * [backup-simplify]: Simplify (+ 0 0) into 0 27.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 27.955 * [taylor]: Taking taylor expansion of J in U 27.955 * [backup-simplify]: Simplify J into J 27.955 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.955 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.956 * [backup-simplify]: Simplify (- 0) into 0 27.956 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.956 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 27.956 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 27.956 * [backup-simplify]: Simplify (* 2 1/2) into 1 27.957 * [taylor]: Taking taylor expansion of 1 in J 27.957 * [backup-simplify]: Simplify 1 into 1 27.957 * [backup-simplify]: Simplify (+ 0) into 0 27.957 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.958 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.958 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.959 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.959 * [backup-simplify]: Simplify (- 0) into 0 27.960 * [backup-simplify]: Simplify (+ 0 0) into 0 27.960 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 27.960 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 27.961 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 27.961 * [taylor]: Taking taylor expansion of 0 in J 27.961 * [backup-simplify]: Simplify 0 into 0 27.961 * [taylor]: Taking taylor expansion of 1 in K 27.961 * [backup-simplify]: Simplify 1 into 1 27.961 * [backup-simplify]: Simplify 1 into 1 27.961 * [backup-simplify]: Simplify (* 1 1) into 1 27.962 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.964 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.965 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.966 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.966 * [backup-simplify]: Simplify (- 0) into 0 27.967 * [backup-simplify]: Simplify (+ 0 0) into 0 27.967 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.968 * [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 27.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 27.970 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 27.970 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.971 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.972 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 27.973 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 27.973 * [backup-simplify]: Simplify (- 0) into 0 27.974 * [backup-simplify]: Simplify (+ 0 0) into 0 27.974 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.975 * [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 27.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 27.977 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 27.977 * [backup-simplify]: Simplify (+ 1 0) into 1 27.978 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 27.979 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 27.979 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 27.980 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.980 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 27.980 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 27.981 * [backup-simplify]: Simplify (- 0) into 0 27.981 * [backup-simplify]: Simplify (+ 0 0) into 0 27.982 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 27.982 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 27.982 * [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))) 27.982 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 27.982 * [taylor]: Taking taylor expansion of 2 in J 27.982 * [backup-simplify]: Simplify 2 into 2 27.982 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 27.982 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 27.982 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 27.982 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 27.982 * [taylor]: Taking taylor expansion of -1/2 in J 27.982 * [backup-simplify]: Simplify -1/2 into -1/2 27.983 * [taylor]: Taking taylor expansion of K in J 27.983 * [backup-simplify]: Simplify K into K 27.983 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 27.983 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 27.983 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 27.983 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 27.983 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 27.983 * [backup-simplify]: Simplify (- 0) into 0 27.983 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 27.983 * [taylor]: Taking taylor expansion of (pow J 2) in J 27.983 * [taylor]: Taking taylor expansion of J in J 27.983 * [backup-simplify]: Simplify 0 into 0 27.983 * [backup-simplify]: Simplify 1 into 1 27.983 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 27.983 * [backup-simplify]: Simplify (* 1 1) into 1 27.984 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 27.984 * [backup-simplify]: Simplify (+ 0) into 0 27.984 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 27.984 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 27.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 27.985 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 27.985 * [backup-simplify]: Simplify (- 0) into 0 27.986 * [backup-simplify]: Simplify (+ 0 0) into 0 27.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 27.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 27.987 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 27.987 * [taylor]: Taking taylor expansion of 0 in K 27.987 * [backup-simplify]: Simplify 0 into 0 27.987 * [backup-simplify]: Simplify 0 into 0 27.987 * [taylor]: Taking taylor expansion of 0 in K 27.987 * [backup-simplify]: Simplify 0 into 0 27.987 * [backup-simplify]: Simplify 0 into 0 27.987 * [taylor]: Taking taylor expansion of 0 in K 27.987 * [backup-simplify]: Simplify 0 into 0 27.987 * [backup-simplify]: Simplify 0 into 0 27.987 * [backup-simplify]: Simplify 0 into 0 27.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.989 * [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 27.990 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 27.990 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.991 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 27.991 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 27.992 * [backup-simplify]: Simplify (- 0) into 0 27.992 * [backup-simplify]: Simplify (+ 0 0) into 0 27.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 27.993 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 27.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 27.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 27.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 27.996 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 27.996 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 27.997 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 27.997 * [backup-simplify]: Simplify (- 0) into 0 27.997 * [backup-simplify]: Simplify (+ 0 0) into 0 27.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 27.998 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 27.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 28.000 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 28.000 * [backup-simplify]: Simplify (+ 0 0) into 0 28.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 28.001 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.004 * [backup-simplify]: Simplify (- 0) into 0 28.005 * [backup-simplify]: Simplify (+ 0 0) into 0 28.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 28.005 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 28.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 28.006 * [taylor]: Taking taylor expansion of 0 in J 28.006 * [backup-simplify]: Simplify 0 into 0 28.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.007 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.007 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.008 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.008 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.008 * [backup-simplify]: Simplify (- 0) into 0 28.008 * [backup-simplify]: Simplify (+ 0 0) into 0 28.009 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 28.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.011 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 28.011 * [taylor]: Taking taylor expansion of 0 in K 28.011 * [backup-simplify]: Simplify 0 into 0 28.011 * [backup-simplify]: Simplify 0 into 0 28.011 * [taylor]: Taking taylor expansion of 0 in K 28.011 * [backup-simplify]: Simplify 0 into 0 28.011 * [backup-simplify]: Simplify 0 into 0 28.011 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 28.011 * * * [progress]: simplifying candidates 28.011 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 28.011 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 28.011 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 28.011 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 28.011 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 28.011 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 28.011 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 28.011 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 28.011 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 28.012 * [simplify]: Simplifying (sqrt (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 28.012 * * [simplify]: iters left: 6 (14 enodes) 28.015 * * [simplify]: iters left: 5 (51 enodes) 28.028 * * [simplify]: iters left: 4 (71 enodes) 28.048 * * [simplify]: iters left: 3 (88 enodes) 28.061 * * [simplify]: iters left: 2 (93 enodes) 28.074 * * [simplify]: Extracting #0: cost 1 inf + 0 28.074 * * [simplify]: Extracting #1: cost 4 inf + 0 28.074 * * [simplify]: Extracting #2: cost 7 inf + 0 28.074 * * [simplify]: Extracting #3: cost 10 inf + 0 28.074 * * [simplify]: Extracting #4: cost 20 inf + 1 28.074 * * [simplify]: Extracting #5: cost 29 inf + 4 28.074 * * [simplify]: Extracting #6: cost 29 inf + 338 28.075 * * [simplify]: Extracting #7: cost 25 inf + 465 28.075 * * [simplify]: Extracting #8: cost 11 inf + 2524 28.077 * * [simplify]: Extracting #9: cost 2 inf + 5195 28.079 * * [simplify]: Extracting #10: cost 0 inf + 5995 28.082 * [simplify]: Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) 28.082 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) (sqrt (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (* (cos (/ K 2)) (* -2 J))))) 28.082 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 28.082 * [simplify]: Simplifying (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 28.082 * * [simplify]: iters left: 6 (13 enodes) 28.090 * * [simplify]: iters left: 5 (47 enodes) 28.105 * * [simplify]: iters left: 4 (67 enodes) 28.128 * * [simplify]: iters left: 3 (84 enodes) 28.150 * * [simplify]: iters left: 2 (89 enodes) 28.174 * * [simplify]: Extracting #0: cost 1 inf + 0 28.174 * * [simplify]: Extracting #1: cost 3 inf + 0 28.174 * * [simplify]: Extracting #2: cost 5 inf + 0 28.174 * * [simplify]: Extracting #3: cost 8 inf + 0 28.174 * * [simplify]: Extracting #4: cost 18 inf + 1 28.175 * * [simplify]: Extracting #5: cost 27 inf + 4 28.175 * * [simplify]: Extracting #6: cost 27 inf + 338 28.175 * * [simplify]: Extracting #7: cost 23 inf + 465 28.176 * * [simplify]: Extracting #8: cost 12 inf + 2056 28.178 * * [simplify]: Extracting #9: cost 1 inf + 4715 28.180 * * [simplify]: Extracting #10: cost 0 inf + 5035 28.181 * [simplify]: Simplified to (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 28.182 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (* (cos (/ K 2)) (* -2 J))))) 28.182 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 28.182 * [simplify]: Simplifying (sqrt 1) 28.182 * * [simplify]: iters left: 1 (2 enodes) 28.186 * * [simplify]: Extracting #0: cost 1 inf + 0 28.186 * * [simplify]: Extracting #1: cost 0 inf + 1 28.186 * [simplify]: Simplified to 1 28.186 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* 1 (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))) 28.186 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 28.186 * [simplify]: Simplifying (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) 28.186 * * [simplify]: iters left: 6 (11 enodes) 28.193 * * [simplify]: iters left: 5 (41 enodes) 28.201 * * [simplify]: iters left: 4 (61 enodes) 28.211 * * [simplify]: iters left: 3 (78 enodes) 28.223 * * [simplify]: iters left: 2 (83 enodes) 28.244 * * [simplify]: Extracting #0: cost 1 inf + 0 28.244 * * [simplify]: Extracting #1: cost 4 inf + 0 28.244 * * [simplify]: Extracting #2: cost 14 inf + 1 28.245 * * [simplify]: Extracting #3: cost 22 inf + 46 28.245 * * [simplify]: Extracting #4: cost 23 inf + 338 28.245 * * [simplify]: Extracting #5: cost 19 inf + 465 28.246 * * [simplify]: Extracting #6: cost 8 inf + 2055 28.248 * * [simplify]: Extracting #7: cost 0 inf + 3675 28.249 * [simplify]: Simplified to (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) 28.249 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (pow (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))))) 28.249 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 28.250 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 28.250 * [simplify]: Simplifying (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) 28.250 * * [simplify]: iters left: 6 (12 enodes) 28.259 * * [simplify]: iters left: 5 (44 enodes) 28.269 * * [simplify]: iters left: 4 (64 enodes) 28.279 * * [simplify]: iters left: 3 (81 enodes) 28.292 * * [simplify]: iters left: 2 (86 enodes) 28.315 * * [simplify]: Extracting #0: cost 1 inf + 0 28.315 * * [simplify]: Extracting #1: cost 3 inf + 0 28.315 * * [simplify]: Extracting #2: cost 6 inf + 0 28.315 * * [simplify]: Extracting #3: cost 16 inf + 1 28.315 * * [simplify]: Extracting #4: cost 25 inf + 4 28.315 * * [simplify]: Extracting #5: cost 26 inf + 255 28.316 * * [simplify]: Extracting #6: cost 21 inf + 465 28.317 * * [simplify]: Extracting #7: cost 7 inf + 2565 28.318 * * [simplify]: Extracting #8: cost 1 inf + 4035 28.320 * * [simplify]: Extracting #9: cost 0 inf + 4315 28.323 * [simplify]: Simplified to (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 28.323 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (fabs (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))))) 28.323 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 28.323 * * * * [progress]: [ 16 / 101 ] simplifiying candidate #real (real->posit16 (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (* (cos (/ K 2)) (* -2 J)))))> 28.323 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 28.323 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 28.323 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 28.323 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 28.323 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 28.324 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 28.324 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 28.324 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 28.324 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 28.324 * [simplify]: Simplifying (sqrt (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 28.324 * * [simplify]: iters left: 6 (14 enodes) 28.332 * * [simplify]: iters left: 5 (51 enodes) 28.348 * * [simplify]: iters left: 4 (71 enodes) 28.370 * * [simplify]: iters left: 3 (88 enodes) 28.396 * * [simplify]: iters left: 2 (93 enodes) 28.422 * * [simplify]: Extracting #0: cost 1 inf + 0 28.422 * * [simplify]: Extracting #1: cost 4 inf + 0 28.422 * * [simplify]: Extracting #2: cost 7 inf + 0 28.422 * * [simplify]: Extracting #3: cost 10 inf + 0 28.422 * * [simplify]: Extracting #4: cost 20 inf + 1 28.422 * * [simplify]: Extracting #5: cost 29 inf + 4 28.422 * * [simplify]: Extracting #6: cost 29 inf + 338 28.423 * * [simplify]: Extracting #7: cost 25 inf + 465 28.424 * * [simplify]: Extracting #8: cost 11 inf + 2524 28.426 * * [simplify]: Extracting #9: cost 2 inf + 5195 28.428 * * [simplify]: Extracting #10: cost 0 inf + 5995 28.430 * [simplify]: Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) 28.430 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) (sqrt (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 28.430 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 28.431 * [simplify]: Simplifying (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 28.431 * * [simplify]: iters left: 6 (13 enodes) 28.437 * * [simplify]: iters left: 5 (47 enodes) 28.445 * * [simplify]: iters left: 4 (67 enodes) 28.456 * * [simplify]: iters left: 3 (84 enodes) 28.468 * * [simplify]: iters left: 2 (89 enodes) 28.488 * * [simplify]: Extracting #0: cost 1 inf + 0 28.488 * * [simplify]: Extracting #1: cost 3 inf + 0 28.488 * * [simplify]: Extracting #2: cost 5 inf + 0 28.488 * * [simplify]: Extracting #3: cost 8 inf + 0 28.488 * * [simplify]: Extracting #4: cost 18 inf + 1 28.488 * * [simplify]: Extracting #5: cost 27 inf + 4 28.489 * * [simplify]: Extracting #6: cost 27 inf + 338 28.489 * * [simplify]: Extracting #7: cost 23 inf + 465 28.489 * * [simplify]: Extracting #8: cost 12 inf + 2056 28.490 * * [simplify]: Extracting #9: cost 1 inf + 4715 28.491 * * [simplify]: Extracting #10: cost 0 inf + 5035 28.492 * [simplify]: Simplified to (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 28.492 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 28.492 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 28.492 * [simplify]: Simplifying (sqrt 1) 28.493 * * [simplify]: iters left: 1 (2 enodes) 28.495 * * [simplify]: Extracting #0: cost 1 inf + 0 28.495 * * [simplify]: Extracting #1: cost 0 inf + 1 28.495 * [simplify]: Simplified to 1 28.495 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 28.495 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 28.495 * [simplify]: Simplifying (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) 28.495 * * [simplify]: iters left: 6 (11 enodes) 28.499 * * [simplify]: iters left: 5 (41 enodes) 28.507 * * [simplify]: iters left: 4 (61 enodes) 28.522 * * [simplify]: iters left: 3 (78 enodes) 28.543 * * [simplify]: iters left: 2 (83 enodes) 28.565 * * [simplify]: Extracting #0: cost 1 inf + 0 28.565 * * [simplify]: Extracting #1: cost 4 inf + 0 28.565 * * [simplify]: Extracting #2: cost 14 inf + 1 28.565 * * [simplify]: Extracting #3: cost 22 inf + 46 28.565 * * [simplify]: Extracting #4: cost 23 inf + 338 28.566 * * [simplify]: Extracting #5: cost 19 inf + 465 28.567 * * [simplify]: Extracting #6: cost 8 inf + 2055 28.568 * * [simplify]: Extracting #7: cost 0 inf + 3675 28.570 * [simplify]: Simplified to (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) 28.570 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (pow (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ 1 2)) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 28.570 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 28.570 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 28.570 * [simplify]: Simplifying (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) 28.570 * * [simplify]: iters left: 6 (12 enodes) 28.577 * * [simplify]: iters left: 5 (44 enodes) 28.592 * * [simplify]: iters left: 4 (64 enodes) 28.612 * * [simplify]: iters left: 3 (81 enodes) 28.634 * * [simplify]: iters left: 2 (86 enodes) 28.657 * * [simplify]: Extracting #0: cost 1 inf + 0 28.657 * * [simplify]: Extracting #1: cost 3 inf + 0 28.657 * * [simplify]: Extracting #2: cost 6 inf + 0 28.657 * * [simplify]: Extracting #3: cost 16 inf + 1 28.658 * * [simplify]: Extracting #4: cost 25 inf + 4 28.658 * * [simplify]: Extracting #5: cost 26 inf + 255 28.660 * * [simplify]: Extracting #6: cost 21 inf + 465 28.661 * * [simplify]: Extracting #7: cost 7 inf + 2565 28.663 * * [simplify]: Extracting #8: cost 1 inf + 4035 28.664 * * [simplify]: Extracting #9: cost 0 inf + 4315 28.666 * [simplify]: Simplified to (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 28.666 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (fabs (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 28.666 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 28.667 * * * * [progress]: [ 32 / 101 ] simplifiying candidate #real (real->posit16 (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))> 28.667 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 28.667 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 28.667 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 28.667 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) 28.667 * * [simplify]: iters left: 6 (16 enodes) 28.676 * * [simplify]: iters left: 5 (63 enodes) 28.698 * * [simplify]: iters left: 4 (105 enodes) 28.732 * * [simplify]: iters left: 3 (151 enodes) 28.756 * * [simplify]: iters left: 2 (172 enodes) 28.787 * * [simplify]: Extracting #0: cost 1 inf + 0 28.787 * * [simplify]: Extracting #1: cost 16 inf + 0 28.787 * * [simplify]: Extracting #2: cost 27 inf + 44 28.787 * * [simplify]: Extracting #3: cost 32 inf + 86 28.787 * * [simplify]: Extracting #4: cost 36 inf + 131 28.788 * * [simplify]: Extracting #5: cost 33 inf + 1583 28.788 * * [simplify]: Extracting #6: cost 23 inf + 3220 28.790 * * [simplify]: Extracting #7: cost 9 inf + 6976 28.792 * * [simplify]: Extracting #8: cost 0 inf + 10502 28.795 * [simplify]: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 28.795 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (pow (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))) 28.795 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 28.796 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) 28.796 * * [simplify]: iters left: 6 (16 enodes) 28.801 * * [simplify]: iters left: 5 (63 enodes) 28.820 * * [simplify]: iters left: 4 (105 enodes) 28.838 * * [simplify]: iters left: 3 (151 enodes) 28.874 * * [simplify]: iters left: 2 (172 enodes) 28.901 * * [simplify]: Extracting #0: cost 1 inf + 0 28.901 * * [simplify]: Extracting #1: cost 16 inf + 0 28.901 * * [simplify]: Extracting #2: cost 27 inf + 44 28.901 * * [simplify]: Extracting #3: cost 32 inf + 86 28.901 * * [simplify]: Extracting #4: cost 36 inf + 131 28.902 * * [simplify]: Extracting #5: cost 33 inf + 1583 28.903 * * [simplify]: Extracting #6: cost 23 inf + 3220 28.904 * * [simplify]: Extracting #7: cost 9 inf + 6976 28.907 * * [simplify]: Extracting #8: cost 0 inf + 10502 28.909 * [simplify]: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 28.909 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (pow (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))) 28.909 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 28.910 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) 28.910 * * [simplify]: iters left: 6 (16 enodes) 28.917 * * [simplify]: iters left: 5 (63 enodes) 28.938 * * [simplify]: iters left: 4 (105 enodes) 28.973 * * [simplify]: iters left: 3 (151 enodes) 29.014 * * [simplify]: iters left: 2 (172 enodes) 29.036 * * [simplify]: Extracting #0: cost 1 inf + 0 29.036 * * [simplify]: Extracting #1: cost 16 inf + 0 29.036 * * [simplify]: Extracting #2: cost 27 inf + 44 29.036 * * [simplify]: Extracting #3: cost 32 inf + 86 29.037 * * [simplify]: Extracting #4: cost 36 inf + 131 29.038 * * [simplify]: Extracting #5: cost 33 inf + 1583 29.039 * * [simplify]: Extracting #6: cost 23 inf + 3220 29.042 * * [simplify]: Extracting #7: cost 9 inf + 6976 29.047 * * [simplify]: Extracting #8: cost 0 inf + 10502 29.050 * [simplify]: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 29.050 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (pow (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))) 29.050 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 29.050 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 29.050 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) 29.050 * * [simplify]: iters left: 6 (20 enodes) 29.056 * * [simplify]: iters left: 5 (75 enodes) 29.072 * * [simplify]: iters left: 4 (119 enodes) 29.112 * * [simplify]: iters left: 3 (172 enodes) 29.162 * * [simplify]: iters left: 2 (193 enodes) 29.205 * * [simplify]: Extracting #0: cost 1 inf + 0 29.205 * * [simplify]: Extracting #1: cost 16 inf + 0 29.205 * * [simplify]: Extracting #2: cost 34 inf + 0 29.205 * * [simplify]: Extracting #3: cost 34 inf + 144 29.205 * * [simplify]: Extracting #4: cost 37 inf + 468 29.206 * * [simplify]: Extracting #5: cost 39 inf + 737 29.206 * * [simplify]: Extracting #6: cost 43 inf + 1572 29.207 * * [simplify]: Extracting #7: cost 22 inf + 6812 29.209 * * [simplify]: Extracting #8: cost 2 inf + 15115 29.212 * * [simplify]: Extracting #9: cost 0 inf + 16116 29.216 * [simplify]: Simplified to (+ (+ (log -2) (log J)) (+ (log (sqrt (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) (log (cos (/ K 2))))) 29.216 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (exp (+ (+ (log -2) (log J)) (+ (log (sqrt (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) (log (cos (/ K 2)))))))) 29.216 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 29.216 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) 29.216 * * [simplify]: iters left: 6 (19 enodes) 29.222 * * [simplify]: iters left: 5 (73 enodes) 29.238 * * [simplify]: iters left: 4 (112 enodes) 29.273 * * [simplify]: iters left: 3 (161 enodes) 29.315 * * [simplify]: iters left: 2 (197 enodes) 29.346 * * [simplify]: iters left: 1 (200 enodes) 29.395 * * [simplify]: Extracting #0: cost 1 inf + 0 29.395 * * [simplify]: Extracting #1: cost 17 inf + 0 29.395 * * [simplify]: Extracting #2: cost 36 inf + 0 29.396 * * [simplify]: Extracting #3: cost 36 inf + 227 29.396 * * [simplify]: Extracting #4: cost 37 inf + 594 29.397 * * [simplify]: Extracting #5: cost 39 inf + 783 29.397 * * [simplify]: Extracting #6: cost 40 inf + 2386 29.400 * * [simplify]: Extracting #7: cost 16 inf + 11613 29.403 * * [simplify]: Extracting #8: cost 0 inf + 16251 29.407 * [simplify]: Simplified to (+ (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (+ (log (cos (/ K 2))) (log (* J -2)))) 29.407 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (exp (+ (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (+ (log (cos (/ K 2))) (log (* J -2))))))) 29.407 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 29.408 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log (* (cos (/ K 2)) (* -2 J)))) 29.408 * * [simplify]: iters left: 6 (18 enodes) 29.412 * * [simplify]: iters left: 5 (70 enodes) 29.424 * * [simplify]: iters left: 4 (111 enodes) 29.451 * * [simplify]: iters left: 3 (159 enodes) 29.500 * * [simplify]: iters left: 2 (205 enodes) 29.552 * * [simplify]: iters left: 1 (219 enodes) 29.594 * * [simplify]: Extracting #0: cost 1 inf + 0 29.594 * * [simplify]: Extracting #1: cost 16 inf + 0 29.594 * * [simplify]: Extracting #2: cost 38 inf + 0 29.595 * * [simplify]: Extracting #3: cost 42 inf + 144 29.595 * * [simplify]: Extracting #4: cost 45 inf + 299 29.595 * * [simplify]: Extracting #5: cost 39 inf + 1720 29.596 * * [simplify]: Extracting #6: cost 34 inf + 4079 29.598 * * [simplify]: Extracting #7: cost 19 inf + 8020 29.602 * * [simplify]: Extracting #8: cost 0 inf + 15294 29.605 * [simplify]: Simplified to (+ (log (* (* (cos (/ K 2)) J) -2)) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) J) 2)))))) 29.605 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (exp (+ (log (* (* (cos (/ K 2)) J) -2)) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) J) 2))))))))) 29.605 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 29.606 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 29.606 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 29.606 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) 29.606 * * [simplify]: iters left: 6 (24 enodes) 29.615 * * [simplify]: iters left: 5 (98 enodes) 29.641 * * [simplify]: iters left: 4 (236 enodes) 29.742 * * [simplify]: Extracting #0: cost 1 inf + 0 29.742 * * [simplify]: Extracting #1: cost 58 inf + 0 29.743 * * [simplify]: Extracting #2: cost 244 inf + 330 29.744 * * [simplify]: Extracting #3: cost 260 inf + 1686 29.746 * * [simplify]: Extracting #4: cost 217 inf + 9830 29.752 * * [simplify]: Extracting #5: cost 143 inf + 27648 29.767 * * [simplify]: Extracting #6: cost 84 inf + 53465 29.796 * * [simplify]: Extracting #7: cost 6 inf + 92412 29.824 * * [simplify]: Extracting #8: cost 0 inf + 95494 29.869 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* (* -8 J) (* J J))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (cos (/ K 2)))) (cos (/ K 2)))) 29.869 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (* (* (cos (/ K 2)) (* (* -8 J) (* J J))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (cos (/ K 2)))) (cos (/ K 2))))))) 29.869 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 29.870 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) 29.870 * * [simplify]: iters left: 6 (22 enodes) 29.883 * * [simplify]: iters left: 5 (96 enodes) 29.918 * * [simplify]: iters left: 4 (236 enodes) 30.034 * * [simplify]: Extracting #0: cost 1 inf + 0 30.035 * * [simplify]: Extracting #1: cost 57 inf + 0 30.036 * * [simplify]: Extracting #2: cost 222 inf + 290 30.038 * * [simplify]: Extracting #3: cost 235 inf + 1850 30.042 * * [simplify]: Extracting #4: cost 195 inf + 12481 30.055 * * [simplify]: Extracting #5: cost 80 inf + 48724 30.083 * * [simplify]: Extracting #6: cost 4 inf + 86996 30.126 * * [simplify]: Extracting #7: cost 0 inf + 89239 30.168 * [simplify]: Simplified to (* (* (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))))) 30.168 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (* (* (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2)))))))) 30.168 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 30.169 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) 30.169 * * [simplify]: iters left: 6 (20 enodes) 30.175 * * [simplify]: iters left: 5 (86 enodes) 30.195 * * [simplify]: iters left: 4 (235 enodes) 30.337 * * [simplify]: Extracting #0: cost 1 inf + 0 30.337 * * [simplify]: Extracting #1: cost 52 inf + 0 30.339 * * [simplify]: Extracting #2: cost 260 inf + 85 30.341 * * [simplify]: Extracting #3: cost 280 inf + 663 30.344 * * [simplify]: Extracting #4: cost 260 inf + 4789 30.357 * * [simplify]: Extracting #5: cost 159 inf + 31274 30.381 * * [simplify]: Extracting #6: cost 89 inf + 58269 30.427 * * [simplify]: Extracting #7: cost 11 inf + 97468 30.475 * * [simplify]: Extracting #8: cost 0 inf + 103039 30.512 * [simplify]: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))))) (* (* J -2) (cos (/ K 2))))) 30.512 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))))) (* (* J -2) (cos (/ K 2)))))))) 30.512 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 30.512 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 30.512 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 30.512 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 30.512 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 30.512 * [simplify]: Simplifying (* -2 J) 30.512 * * [simplify]: iters left: 2 (3 enodes) 30.514 * * [simplify]: iters left: 1 (10 enodes) 30.515 * * [simplify]: Extracting #0: cost 1 inf + 0 30.515 * * [simplify]: Extracting #1: cost 4 inf + 0 30.515 * * [simplify]: Extracting #2: cost 2 inf + 2 30.515 * * [simplify]: Extracting #3: cost 0 inf + 86 30.515 * [simplify]: Simplified to (* -2 J) 30.515 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J)))) 30.516 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 30.516 * [simplify]: Simplifying (* (cbrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (cbrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 30.516 * * [simplify]: iters left: 6 (14 enodes) 30.519 * * [simplify]: iters left: 5 (50 enodes) 30.527 * * [simplify]: iters left: 4 (70 enodes) 30.545 * * [simplify]: iters left: 3 (87 enodes) 30.571 * * [simplify]: iters left: 2 (92 enodes) 30.595 * * [simplify]: Extracting #0: cost 1 inf + 0 30.596 * * [simplify]: Extracting #1: cost 3 inf + 0 30.596 * * [simplify]: Extracting #2: cost 5 inf + 0 30.596 * * [simplify]: Extracting #3: cost 7 inf + 0 30.596 * * [simplify]: Extracting #4: cost 10 inf + 0 30.596 * * [simplify]: Extracting #5: cost 20 inf + 1 30.596 * * [simplify]: Extracting #6: cost 27 inf + 129 30.596 * * [simplify]: Extracting #7: cost 29 inf + 338 30.597 * * [simplify]: Extracting #8: cost 25 inf + 465 30.597 * * [simplify]: Extracting #9: cost 15 inf + 1912 30.599 * * [simplify]: Extracting #10: cost 2 inf + 5155 30.601 * * [simplify]: Extracting #11: cost 0 inf + 5995 30.604 * [simplify]: Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) 30.604 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cbrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))))) 30.604 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 30.604 * [simplify]: Simplifying (sqrt (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 30.604 * * [simplify]: iters left: 6 (14 enodes) 30.611 * * [simplify]: iters left: 5 (51 enodes) 30.628 * * [simplify]: iters left: 4 (71 enodes) 30.649 * * [simplify]: iters left: 3 (88 enodes) 30.662 * * [simplify]: iters left: 2 (93 enodes) 30.674 * * [simplify]: Extracting #0: cost 1 inf + 0 30.674 * * [simplify]: Extracting #1: cost 4 inf + 0 30.674 * * [simplify]: Extracting #2: cost 7 inf + 0 30.674 * * [simplify]: Extracting #3: cost 10 inf + 0 30.674 * * [simplify]: Extracting #4: cost 20 inf + 1 30.674 * * [simplify]: Extracting #5: cost 29 inf + 4 30.675 * * [simplify]: Extracting #6: cost 29 inf + 338 30.675 * * [simplify]: Extracting #7: cost 25 inf + 465 30.675 * * [simplify]: Extracting #8: cost 11 inf + 2524 30.676 * * [simplify]: Extracting #9: cost 2 inf + 5195 30.678 * * [simplify]: Extracting #10: cost 0 inf + 5995 30.679 * [simplify]: Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) 30.679 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (sqrt (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))))) 30.679 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 30.679 * [simplify]: Simplifying (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 30.679 * * [simplify]: iters left: 6 (13 enodes) 30.686 * * [simplify]: iters left: 5 (47 enodes) 30.702 * * [simplify]: iters left: 4 (67 enodes) 30.715 * * [simplify]: iters left: 3 (84 enodes) 30.727 * * [simplify]: iters left: 2 (89 enodes) 30.738 * * [simplify]: Extracting #0: cost 1 inf + 0 30.739 * * [simplify]: Extracting #1: cost 3 inf + 0 30.739 * * [simplify]: Extracting #2: cost 5 inf + 0 30.739 * * [simplify]: Extracting #3: cost 8 inf + 0 30.739 * * [simplify]: Extracting #4: cost 18 inf + 1 30.739 * * [simplify]: Extracting #5: cost 27 inf + 4 30.739 * * [simplify]: Extracting #6: cost 27 inf + 338 30.739 * * [simplify]: Extracting #7: cost 23 inf + 465 30.740 * * [simplify]: Extracting #8: cost 12 inf + 2056 30.740 * * [simplify]: Extracting #9: cost 1 inf + 4715 30.741 * * [simplify]: Extracting #10: cost 0 inf + 5035 30.742 * [simplify]: Simplified to (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 30.742 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))))) 30.742 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 30.743 * [simplify]: Simplifying (sqrt 1) 30.743 * * [simplify]: iters left: 1 (2 enodes) 30.746 * * [simplify]: Extracting #0: cost 1 inf + 0 30.746 * * [simplify]: Extracting #1: cost 0 inf + 1 30.746 * [simplify]: Simplified to 1 30.746 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* 1 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))) 30.746 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 30.746 * [simplify]: Simplifying (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 30.746 * * [simplify]: iters left: 6 (13 enodes) 30.753 * * [simplify]: iters left: 5 (47 enodes) 30.764 * * [simplify]: iters left: 4 (67 enodes) 30.774 * * [simplify]: iters left: 3 (84 enodes) 30.788 * * [simplify]: iters left: 2 (89 enodes) 30.801 * * [simplify]: Extracting #0: cost 1 inf + 0 30.801 * * [simplify]: Extracting #1: cost 3 inf + 0 30.801 * * [simplify]: Extracting #2: cost 5 inf + 0 30.801 * * [simplify]: Extracting #3: cost 8 inf + 0 30.801 * * [simplify]: Extracting #4: cost 18 inf + 1 30.801 * * [simplify]: Extracting #5: cost 27 inf + 4 30.802 * * [simplify]: Extracting #6: cost 27 inf + 338 30.802 * * [simplify]: Extracting #7: cost 23 inf + 465 30.803 * * [simplify]: Extracting #8: cost 12 inf + 2056 30.805 * * [simplify]: Extracting #9: cost 1 inf + 4715 30.807 * * [simplify]: Extracting #10: cost 0 inf + 5035 30.808 * [simplify]: Simplified to (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 30.809 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))))) 30.809 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 30.809 * * * * [progress]: [ 58 / 101 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))))> 30.809 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 30.809 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 30.809 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 30.809 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 30.809 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 30.810 * * [simplify]: iters left: 6 (17 enodes) 30.819 * * [simplify]: iters left: 5 (69 enodes) 30.837 * * [simplify]: iters left: 4 (121 enodes) 30.859 * * [simplify]: iters left: 3 (201 enodes) 30.935 * * [simplify]: iters left: 2 (281 enodes) 31.018 * * [simplify]: iters left: 1 (291 enodes) 31.060 * * [simplify]: Extracting #0: cost 1 inf + 0 31.060 * * [simplify]: Extracting #1: cost 24 inf + 0 31.060 * * [simplify]: Extracting #2: cost 44 inf + 44 31.061 * * [simplify]: Extracting #3: cost 53 inf + 87 31.062 * * [simplify]: Extracting #4: cost 53 inf + 967 31.067 * * [simplify]: Extracting #5: cost 18 inf + 10287 31.077 * * [simplify]: Extracting #6: cost 0 inf + 15390 31.086 * [simplify]: Simplified to (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 31.087 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 1)) 31.087 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 31.087 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 31.087 * * [simplify]: iters left: 6 (17 enodes) 31.094 * * [simplify]: iters left: 5 (69 enodes) 31.107 * * [simplify]: iters left: 4 (121 enodes) 31.134 * * [simplify]: iters left: 3 (201 enodes) 31.182 * * [simplify]: iters left: 2 (281 enodes) 31.238 * * [simplify]: iters left: 1 (291 enodes) 31.311 * * [simplify]: Extracting #0: cost 1 inf + 0 31.311 * * [simplify]: Extracting #1: cost 24 inf + 0 31.312 * * [simplify]: Extracting #2: cost 44 inf + 44 31.312 * * [simplify]: Extracting #3: cost 53 inf + 87 31.313 * * [simplify]: Extracting #4: cost 53 inf + 967 31.318 * * [simplify]: Extracting #5: cost 18 inf + 10287 31.327 * * [simplify]: Extracting #6: cost 0 inf + 15390 31.336 * [simplify]: Simplified to (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 31.336 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 1)) 31.336 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 31.336 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 31.337 * * [simplify]: iters left: 6 (17 enodes) 31.345 * * [simplify]: iters left: 5 (69 enodes) 31.365 * * [simplify]: iters left: 4 (121 enodes) 31.396 * * [simplify]: iters left: 3 (201 enodes) 31.440 * * [simplify]: iters left: 2 (281 enodes) 31.492 * * [simplify]: iters left: 1 (291 enodes) 31.533 * * [simplify]: Extracting #0: cost 1 inf + 0 31.533 * * [simplify]: Extracting #1: cost 24 inf + 0 31.533 * * [simplify]: Extracting #2: cost 44 inf + 44 31.533 * * [simplify]: Extracting #3: cost 53 inf + 87 31.533 * * [simplify]: Extracting #4: cost 53 inf + 967 31.536 * * [simplify]: Extracting #5: cost 18 inf + 10287 31.541 * * [simplify]: Extracting #6: cost 0 inf + 15390 31.547 * [simplify]: Simplified to (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 31.547 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 1)) 31.547 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 31.547 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 31.547 * * [simplify]: iters left: 6 (17 enodes) 31.556 * * [simplify]: iters left: 5 (69 enodes) 31.583 * * [simplify]: iters left: 4 (121 enodes) 31.624 * * [simplify]: iters left: 3 (201 enodes) 31.675 * * [simplify]: iters left: 2 (281 enodes) 31.731 * * [simplify]: iters left: 1 (291 enodes) 31.805 * * [simplify]: Extracting #0: cost 1 inf + 0 31.806 * * [simplify]: Extracting #1: cost 24 inf + 0 31.806 * * [simplify]: Extracting #2: cost 44 inf + 44 31.806 * * [simplify]: Extracting #3: cost 53 inf + 87 31.807 * * [simplify]: Extracting #4: cost 53 inf + 967 31.812 * * [simplify]: Extracting #5: cost 18 inf + 10287 31.821 * * [simplify]: Extracting #6: cost 0 inf + 15390 31.830 * [simplify]: Simplified to (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 31.831 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 1)) 31.831 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 31.831 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 31.831 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))) 31.831 * * [simplify]: iters left: 6 (21 enodes) 31.843 * * [simplify]: iters left: 5 (81 enodes) 31.871 * * [simplify]: iters left: 4 (137 enodes) 31.917 * * [simplify]: iters left: 3 (226 enodes) 31.989 * * [simplify]: iters left: 2 (301 enodes) 32.054 * * [simplify]: iters left: 1 (316 enodes) 32.132 * * [simplify]: Extracting #0: cost 1 inf + 0 32.132 * * [simplify]: Extracting #1: cost 24 inf + 0 32.133 * * [simplify]: Extracting #2: cost 50 inf + 0 32.133 * * [simplify]: Extracting #3: cost 50 inf + 144 32.134 * * [simplify]: Extracting #4: cost 53 inf + 468 32.134 * * [simplify]: Extracting #5: cost 54 inf + 839 32.135 * * [simplify]: Extracting #6: cost 56 inf + 2118 32.138 * * [simplify]: Extracting #7: cost 34 inf + 10041 32.149 * * [simplify]: Extracting #8: cost 2 inf + 24453 32.162 * * [simplify]: Extracting #9: cost 0 inf + 25644 32.178 * [simplify]: Simplified to (+ (+ (+ (log J) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) (+ (log -2) (log (cos (/ K 2))))) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) 32.178 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log J) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) (+ (log -2) (log (cos (/ K 2))))) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))))) 32.178 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 32.179 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (cos (/ K 2))) (log (* -2 J))))) 32.179 * * [simplify]: iters left: 6 (20 enodes) 32.190 * * [simplify]: iters left: 5 (79 enodes) 32.218 * * [simplify]: iters left: 4 (128 enodes) 32.240 * * [simplify]: iters left: 3 (208 enodes) 32.296 * * [simplify]: iters left: 2 (300 enodes) 32.371 * * [simplify]: iters left: 1 (337 enodes) 32.432 * * [simplify]: Extracting #0: cost 1 inf + 0 32.433 * * [simplify]: Extracting #1: cost 24 inf + 0 32.433 * * [simplify]: Extracting #2: cost 51 inf + 0 32.433 * * [simplify]: Extracting #3: cost 51 inf + 227 32.433 * * [simplify]: Extracting #4: cost 52 inf + 594 32.434 * * [simplify]: Extracting #5: cost 54 inf + 783 32.434 * * [simplify]: Extracting #6: cost 55 inf + 2386 32.435 * * [simplify]: Extracting #7: cost 41 inf + 5850 32.437 * * [simplify]: Extracting #8: cost 23 inf + 11837 32.442 * * [simplify]: Extracting #9: cost 2 inf + 24017 32.449 * * [simplify]: Extracting #10: cost 0 inf + 24888 32.455 * [simplify]: Simplified to (+ (+ (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) (+ (log (cos (/ K 2))) (log (* J -2)))) 32.455 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) (+ (log (cos (/ K 2))) (log (* J -2)))))) 32.455 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 32.455 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log (* (cos (/ K 2)) (* -2 J))))) 32.456 * * [simplify]: iters left: 6 (19 enodes) 32.462 * * [simplify]: iters left: 5 (76 enodes) 32.488 * * [simplify]: iters left: 4 (122 enodes) 32.529 * * [simplify]: iters left: 3 (185 enodes) 32.565 * * [simplify]: iters left: 2 (279 enodes) 32.648 * * [simplify]: iters left: 1 (336 enodes) 32.702 * * [simplify]: Extracting #0: cost 1 inf + 0 32.703 * * [simplify]: Extracting #1: cost 24 inf + 0 32.703 * * [simplify]: Extracting #2: cost 54 inf + 0 32.703 * * [simplify]: Extracting #3: cost 58 inf + 144 32.703 * * [simplify]: Extracting #4: cost 59 inf + 692 32.704 * * [simplify]: Extracting #5: cost 58 inf + 1281 32.704 * * [simplify]: Extracting #6: cost 54 inf + 3356 32.706 * * [simplify]: Extracting #7: cost 43 inf + 5376 32.707 * * [simplify]: Extracting #8: cost 33 inf + 7183 32.709 * * [simplify]: Extracting #9: cost 20 inf + 13342 32.719 * * [simplify]: Extracting #10: cost 1 inf + 23541 32.731 * * [simplify]: Extracting #11: cost 0 inf + 24122 32.743 * [simplify]: Simplified to (+ (log (sqrt (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J)))))) (+ (log (* (* J -2) (cos (/ K 2)))) (log (sqrt (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J)))))))) 32.743 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J)))))) (+ (log (* (* J -2) (cos (/ K 2)))) (log (sqrt (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J)))))))))) 32.744 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 32.744 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 32.744 * * [simplify]: iters left: 6 (19 enodes) 32.755 * * [simplify]: iters left: 5 (75 enodes) 32.781 * * [simplify]: iters left: 4 (131 enodes) 32.809 * * [simplify]: iters left: 3 (213 enodes) 32.864 * * [simplify]: iters left: 2 (315 enodes) 32.915 * * [simplify]: iters left: 1 (378 enodes) 33.018 * * [simplify]: Extracting #0: cost 1 inf + 0 33.018 * * [simplify]: Extracting #1: cost 24 inf + 0 33.018 * * [simplify]: Extracting #2: cost 61 inf + 0 33.019 * * [simplify]: Extracting #3: cost 71 inf + 227 33.020 * * [simplify]: Extracting #4: cost 72 inf + 594 33.020 * * [simplify]: Extracting #5: cost 71 inf + 1383 33.022 * * [simplify]: Extracting #6: cost 64 inf + 4079 33.028 * * [simplify]: Extracting #7: cost 23 inf + 20043 33.037 * * [simplify]: Extracting #8: cost 1 inf + 27870 33.045 * * [simplify]: Extracting #9: cost 0 inf + 28270 33.053 * [simplify]: Simplified to (+ (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) J) 2))))) (+ (log (* (* (cos (/ K 2)) J) -2)) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) J) 2))))))) 33.053 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) J) 2))))) (+ (log (* (* (cos (/ K 2)) J) -2)) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) J) 2))))))))) 33.054 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 33.054 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 33.054 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 33.054 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))) 33.054 * * [simplify]: iters left: 6 (25 enodes) 33.062 * * [simplify]: iters left: 5 (106 enodes) 33.098 * * [simplify]: iters left: 4 (287 enodes) 33.271 * * [simplify]: Extracting #0: cost 1 inf + 0 33.272 * * [simplify]: Extracting #1: cost 61 inf + 0 33.272 * * [simplify]: Extracting #2: cost 320 inf + 247 33.274 * * [simplify]: Extracting #3: cost 366 inf + 1645 33.279 * * [simplify]: Extracting #4: cost 281 inf + 24399 33.309 * * [simplify]: Extracting #5: cost 94 inf + 103192 33.383 * * [simplify]: Extracting #6: cost 2 inf + 147718 33.424 * * [simplify]: Extracting #7: cost 0 inf + 148880 33.471 * [simplify]: Simplified to (* (* (* (* -8 (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* J J) J) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) 33.471 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* -8 (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* J J) J) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) 33.471 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 33.472 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))) 33.472 * * [simplify]: iters left: 6 (23 enodes) 33.479 * * [simplify]: iters left: 5 (104 enodes) 33.503 * * [simplify]: iters left: 4 (285 enodes) 33.650 * * [simplify]: Extracting #0: cost 1 inf + 0 33.650 * * [simplify]: Extracting #1: cost 65 inf + 0 33.652 * * [simplify]: Extracting #2: cost 302 inf + 2 33.655 * * [simplify]: Extracting #3: cost 345 inf + 906 33.659 * * [simplify]: Extracting #4: cost 334 inf + 2313 33.671 * * [simplify]: Extracting #5: cost 238 inf + 29983 33.722 * * [simplify]: Extracting #6: cost 80 inf + 100050 33.790 * * [simplify]: Extracting #7: cost 3 inf + 139298 33.840 * * [simplify]: Extracting #8: cost 0 inf + 140941 33.911 * [simplify]: Simplified to (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))))) 33.911 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))))))) 33.911 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 33.912 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))) 33.912 * * [simplify]: iters left: 6 (21 enodes) 33.918 * * [simplify]: iters left: 5 (94 enodes) 33.946 * * [simplify]: iters left: 4 (282 enodes) 34.109 * * [simplify]: Extracting #0: cost 1 inf + 0 34.109 * * [simplify]: Extracting #1: cost 60 inf + 0 34.110 * * [simplify]: Extracting #2: cost 319 inf + 167 34.112 * * [simplify]: Extracting #3: cost 357 inf + 1486 34.121 * * [simplify]: Extracting #4: cost 281 inf + 22659 34.151 * * [simplify]: Extracting #5: cost 107 inf + 92176 34.202 * * [simplify]: Extracting #6: cost 3 inf + 144828 34.261 * * [simplify]: Extracting #7: cost 0 inf + 146431 34.335 * [simplify]: Simplified to (* (* (* (* (* (* J -2) (cos (/ K 2))) (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) 34.335 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (* J -2) (cos (/ K 2))) (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) 34.335 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 34.336 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 34.336 * * [simplify]: iters left: 6 (21 enodes) 34.348 * * [simplify]: iters left: 5 (91 enodes) 34.386 * * [simplify]: iters left: 4 (264 enodes) 34.587 * * [simplify]: Extracting #0: cost 1 inf + 0 34.587 * * [simplify]: Extracting #1: cost 56 inf + 0 34.589 * * [simplify]: Extracting #2: cost 347 inf + 44 34.592 * * [simplify]: Extracting #3: cost 386 inf + 835 34.600 * * [simplify]: Extracting #4: cost 333 inf + 15438 34.640 * * [simplify]: Extracting #5: cost 150 inf + 94826 34.705 * * [simplify]: Extracting #6: cost 2 inf + 170860 34.795 * * [simplify]: Extracting #7: cost 0 inf + 171942 34.861 * [simplify]: Simplified to (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (* J -2) (cos (/ K 2)))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (* J -2) (cos (/ K 2))))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (* J -2) (cos (/ K 2))))) 34.861 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (* J -2) (cos (/ K 2)))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (* J -2) (cos (/ K 2))))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (* J -2) (cos (/ K 2))))))) 34.861 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 34.861 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 34.861 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 34.862 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 34.862 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 34.862 * [simplify]: Simplifying (* (cos (/ K 2)) (* -2 J)) 34.862 * * [simplify]: iters left: 5 (8 enodes) 34.867 * * [simplify]: iters left: 4 (28 enodes) 34.876 * * [simplify]: iters left: 3 (36 enodes) 34.888 * * [simplify]: iters left: 2 (42 enodes) 34.900 * * [simplify]: Extracting #0: cost 1 inf + 0 34.900 * * [simplify]: Extracting #1: cost 8 inf + 0 34.900 * * [simplify]: Extracting #2: cost 10 inf + 44 34.900 * * [simplify]: Extracting #3: cost 12 inf + 86 34.900 * * [simplify]: Extracting #4: cost 10 inf + 88 34.901 * * [simplify]: Extracting #5: cost 5 inf + 601 34.901 * * [simplify]: Extracting #6: cost 1 inf + 1173 34.902 * * [simplify]: Extracting #7: cost 0 inf + 1316 34.902 * [simplify]: Simplified to (* (cos (/ K 2)) (* -2 J)) 34.902 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 34.902 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 34.903 * [simplify]: Simplifying (* (cbrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (cbrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 34.903 * * [simplify]: iters left: 6 (14 enodes) 34.910 * * [simplify]: iters left: 5 (50 enodes) 34.926 * * [simplify]: iters left: 4 (70 enodes) 34.948 * * [simplify]: iters left: 3 (87 enodes) 34.974 * * [simplify]: iters left: 2 (92 enodes) 34.993 * * [simplify]: Extracting #0: cost 1 inf + 0 34.993 * * [simplify]: Extracting #1: cost 3 inf + 0 34.993 * * [simplify]: Extracting #2: cost 5 inf + 0 34.993 * * [simplify]: Extracting #3: cost 7 inf + 0 34.993 * * [simplify]: Extracting #4: cost 10 inf + 0 34.994 * * [simplify]: Extracting #5: cost 20 inf + 1 34.994 * * [simplify]: Extracting #6: cost 27 inf + 129 34.994 * * [simplify]: Extracting #7: cost 29 inf + 338 34.994 * * [simplify]: Extracting #8: cost 25 inf + 465 34.994 * * [simplify]: Extracting #9: cost 15 inf + 1912 34.995 * * [simplify]: Extracting #10: cost 2 inf + 5155 34.996 * * [simplify]: Extracting #11: cost 0 inf + 5995 34.997 * [simplify]: Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) 34.998 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cbrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))) 34.998 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 34.998 * [simplify]: Simplifying (sqrt (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 34.998 * * [simplify]: iters left: 6 (14 enodes) 35.002 * * [simplify]: iters left: 5 (51 enodes) 35.011 * * [simplify]: iters left: 4 (71 enodes) 35.025 * * [simplify]: iters left: 3 (88 enodes) 35.049 * * [simplify]: iters left: 2 (93 enodes) 35.073 * * [simplify]: Extracting #0: cost 1 inf + 0 35.073 * * [simplify]: Extracting #1: cost 4 inf + 0 35.073 * * [simplify]: Extracting #2: cost 7 inf + 0 35.073 * * [simplify]: Extracting #3: cost 10 inf + 0 35.073 * * [simplify]: Extracting #4: cost 20 inf + 1 35.073 * * [simplify]: Extracting #5: cost 29 inf + 4 35.074 * * [simplify]: Extracting #6: cost 29 inf + 338 35.074 * * [simplify]: Extracting #7: cost 25 inf + 465 35.075 * * [simplify]: Extracting #8: cost 11 inf + 2524 35.077 * * [simplify]: Extracting #9: cost 2 inf + 5195 35.079 * * [simplify]: Extracting #10: cost 0 inf + 5995 35.081 * [simplify]: Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) 35.081 * [simplify]: Simplified (2 1) to (λ (J K U) (* (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (sqrt (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))) 35.082 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 35.082 * [simplify]: Simplifying (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 35.082 * * [simplify]: iters left: 6 (13 enodes) 35.089 * * [simplify]: iters left: 5 (47 enodes) 35.106 * * [simplify]: iters left: 4 (67 enodes) 35.126 * * [simplify]: iters left: 3 (84 enodes) 35.149 * * [simplify]: iters left: 2 (89 enodes) 35.173 * * [simplify]: Extracting #0: cost 1 inf + 0 35.173 * * [simplify]: Extracting #1: cost 3 inf + 0 35.173 * * [simplify]: Extracting #2: cost 5 inf + 0 35.174 * * [simplify]: Extracting #3: cost 8 inf + 0 35.174 * * [simplify]: Extracting #4: cost 18 inf + 1 35.174 * * [simplify]: Extracting #5: cost 27 inf + 4 35.174 * * [simplify]: Extracting #6: cost 27 inf + 338 35.174 * * [simplify]: Extracting #7: cost 23 inf + 465 35.175 * * [simplify]: Extracting #8: cost 12 inf + 2056 35.177 * * [simplify]: Extracting #9: cost 1 inf + 4715 35.179 * * [simplify]: Extracting #10: cost 0 inf + 5035 35.180 * [simplify]: Simplified to (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 35.181 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))) 35.181 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 35.181 * [simplify]: Simplifying (sqrt 1) 35.181 * * [simplify]: iters left: 1 (2 enodes) 35.185 * * [simplify]: Extracting #0: cost 1 inf + 0 35.185 * * [simplify]: Extracting #1: cost 0 inf + 1 35.185 * [simplify]: Simplified to 1 35.185 * [simplify]: Simplified (2 1) to (λ (J K U) (* 1 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))) 35.185 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 35.185 * [simplify]: Simplifying (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 35.186 * * [simplify]: iters left: 6 (13 enodes) 35.193 * * [simplify]: iters left: 5 (47 enodes) 35.204 * * [simplify]: iters left: 4 (67 enodes) 35.215 * * [simplify]: iters left: 3 (84 enodes) 35.234 * * [simplify]: iters left: 2 (89 enodes) 35.259 * * [simplify]: Extracting #0: cost 1 inf + 0 35.259 * * [simplify]: Extracting #1: cost 3 inf + 0 35.259 * * [simplify]: Extracting #2: cost 5 inf + 0 35.259 * * [simplify]: Extracting #3: cost 8 inf + 0 35.260 * * [simplify]: Extracting #4: cost 18 inf + 1 35.260 * * [simplify]: Extracting #5: cost 27 inf + 4 35.260 * * [simplify]: Extracting #6: cost 27 inf + 338 35.260 * * [simplify]: Extracting #7: cost 23 inf + 465 35.261 * * [simplify]: Extracting #8: cost 12 inf + 2056 35.263 * * [simplify]: Extracting #9: cost 1 inf + 4715 35.265 * * [simplify]: Extracting #10: cost 0 inf + 5035 35.267 * [simplify]: Simplified to (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 35.267 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))) 35.267 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 35.267 * * * * [progress]: [ 88 / 101 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))))> 35.267 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 35.267 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 35.268 * [simplify]: Simplifying 1 35.268 * * [simplify]: iters left: 0 (1 enodes) 35.269 * * [simplify]: Extracting #0: cost 1 inf + 0 35.269 * * [simplify]: Extracting #1: cost 0 inf + 1 35.269 * [simplify]: Simplified to 1 35.269 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* 1 (* (cos (/ K 2)) (* -2 J))))) 35.269 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 35.269 * [simplify]: Simplifying (/ +nan.0 (* (cos (* 1/2 K)) J)) 35.269 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* +nan.0 (* (cos (/ K 2)) (* -2 J))))) 35.270 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 35.270 * [simplify]: Simplifying (/ +nan.0 (* (cos (* 1/2 K)) J)) 35.270 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* +nan.0 (* (cos (/ K 2)) (* -2 J))))) 35.270 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 35.270 * [simplify]: Simplifying 1 35.270 * * [simplify]: iters left: 0 (1 enodes) 35.272 * * [simplify]: Extracting #0: cost 1 inf + 0 35.272 * * [simplify]: Extracting #1: cost 0 inf + 1 35.272 * [simplify]: Simplified to 1 35.272 * [simplify]: Simplified (2 1) to (λ (J K U) (* 1 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 35.272 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 35.273 * [simplify]: Simplifying (/ +nan.0 (* (cos (* 1/2 K)) J)) 35.273 * [simplify]: Simplified (2 1) to (λ (J K U) (* +nan.0 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 35.273 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 35.273 * [simplify]: Simplifying (/ +nan.0 (* (cos (* 1/2 K)) J)) 35.273 * [simplify]: Simplified (2 1) to (λ (J K U) (* +nan.0 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 35.273 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 35.274 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/8 (/ (pow U 2) J)))) 35.274 * * [simplify]: iters left: 6 (10 enodes) 35.280 * * [simplify]: iters left: 5 (44 enodes) 35.297 * * [simplify]: iters left: 4 (83 enodes) 35.322 * * [simplify]: iters left: 3 (132 enodes) 35.342 * * [simplify]: iters left: 2 (186 enodes) 35.386 * * [simplify]: iters left: 1 (263 enodes) 35.443 * * [simplify]: Extracting #0: cost 1 inf + 0 35.443 * * [simplify]: Extracting #1: cost 23 inf + 0 35.444 * * [simplify]: Extracting #2: cost 44 inf + 89 35.446 * * [simplify]: Extracting #3: cost 21 inf + 2920 35.449 * * [simplify]: Extracting #4: cost 0 inf + 4598 35.453 * [simplify]: Simplified to (fma (/ -1/8 J) (* U U) (* J -2)) 35.453 * [simplify]: Simplified (2 2) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (fma (/ -1/8 J) (* U U) (* J -2)))) 35.453 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 35.453 * [simplify]: Simplifying (- +nan.0) 35.453 * [simplify]: Simplified (2 2) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) +nan.0)) 35.453 * * * * [progress]: [ 98 / 101 ] simplifiying candidate # 35.454 * [simplify]: Simplifying (- +nan.0) 35.454 * [simplify]: Simplified (2 2) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) +nan.0)) 35.454 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 35.454 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 35.454 * * [simplify]: iters left: 6 (10 enodes) 35.458 * * [simplify]: iters left: 5 (44 enodes) 35.467 * * [simplify]: iters left: 4 (83 enodes) 35.481 * * [simplify]: iters left: 3 (132 enodes) 35.510 * * [simplify]: iters left: 2 (186 enodes) 35.550 * * [simplify]: iters left: 1 (263 enodes) 35.622 * * [simplify]: Extracting #0: cost 1 inf + 0 35.622 * * [simplify]: Extracting #1: cost 23 inf + 0 35.622 * * [simplify]: Extracting #2: cost 44 inf + 89 35.623 * * [simplify]: Extracting #3: cost 21 inf + 2920 35.625 * * [simplify]: Extracting #4: cost 0 inf + 4598 35.627 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 35.627 * [simplify]: Simplified (2) to (λ (J K U) (fma (/ -1/4 J) (* U U) (* J -2))) 35.627 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 35.627 * [simplify]: Simplifying (* -1 U) 35.627 * * [simplify]: iters left: 2 (3 enodes) 35.628 * * [simplify]: iters left: 1 (11 enodes) 35.630 * * [simplify]: Extracting #0: cost 1 inf + 0 35.630 * * [simplify]: Extracting #1: cost 4 inf + 0 35.630 * * [simplify]: Extracting #2: cost 0 inf + 84 35.632 * [simplify]: Simplified to (- U) 35.632 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 35.632 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 35.632 * [simplify]: Simplifying (* -1 U) 35.632 * * [simplify]: iters left: 2 (3 enodes) 35.633 * * [simplify]: iters left: 1 (11 enodes) 35.635 * * [simplify]: Extracting #0: cost 1 inf + 0 35.635 * * [simplify]: Extracting #1: cost 4 inf + 0 35.635 * * [simplify]: Extracting #2: cost 0 inf + 84 35.635 * [simplify]: Simplified to (- U) 35.635 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 35.635 * * * [progress]: adding candidates to table 37.024 * * [progress]: iteration 4 / 4 37.024 * * * [progress]: picking best candidate 37.051 * * * * [pick]: Picked # 37.051 * * * [progress]: localizing error 37.091 * * * [progress]: generating rewritten candidates 37.091 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 37.221 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 37.234 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 37.251 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 37.305 * * * [progress]: generating series expansions 37.305 * * * * [progress]: [ 1 / 4 ] generating series at (2) 37.305 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 37.305 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 37.305 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 37.305 * [taylor]: Taking taylor expansion of -2 in K 37.305 * [backup-simplify]: Simplify -2 into -2 37.305 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 37.305 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 37.305 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 37.305 * [taylor]: Taking taylor expansion of 1/2 in K 37.305 * [backup-simplify]: Simplify 1/2 into 1/2 37.305 * [taylor]: Taking taylor expansion of K in K 37.305 * [backup-simplify]: Simplify 0 into 0 37.305 * [backup-simplify]: Simplify 1 into 1 37.306 * [backup-simplify]: Simplify (* 1/2 0) into 0 37.306 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 37.306 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 37.306 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 37.306 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 37.307 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 37.307 * [taylor]: Taking taylor expansion of (* 1 1) in K 37.307 * [taylor]: Taking taylor expansion of 1 in K 37.307 * [backup-simplify]: Simplify 1 into 1 37.307 * [taylor]: Taking taylor expansion of 1 in K 37.307 * [backup-simplify]: Simplify 1 into 1 37.307 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 37.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 37.307 * [taylor]: Taking taylor expansion of 1/2 in K 37.307 * [backup-simplify]: Simplify 1/2 into 1/2 37.307 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 37.307 * [taylor]: Taking taylor expansion of U in K 37.307 * [backup-simplify]: Simplify U into U 37.307 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 37.307 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 37.307 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 37.307 * [taylor]: Taking taylor expansion of 1/2 in K 37.307 * [backup-simplify]: Simplify 1/2 into 1/2 37.307 * [taylor]: Taking taylor expansion of K in K 37.307 * [backup-simplify]: Simplify 0 into 0 37.307 * [backup-simplify]: Simplify 1 into 1 37.307 * [backup-simplify]: Simplify (* 1/2 0) into 0 37.308 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 37.308 * [taylor]: Taking taylor expansion of J in K 37.308 * [backup-simplify]: Simplify J into J 37.308 * [backup-simplify]: Simplify (* 1 J) into J 37.308 * [backup-simplify]: Simplify (/ U J) into (/ U J) 37.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 37.308 * [taylor]: Taking taylor expansion of 1/2 in K 37.308 * [backup-simplify]: Simplify 1/2 into 1/2 37.308 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 37.308 * [taylor]: Taking taylor expansion of U in K 37.308 * [backup-simplify]: Simplify U into U 37.308 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 37.308 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 37.308 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 37.308 * [taylor]: Taking taylor expansion of 1/2 in K 37.308 * [backup-simplify]: Simplify 1/2 into 1/2 37.308 * [taylor]: Taking taylor expansion of K in K 37.308 * [backup-simplify]: Simplify 0 into 0 37.308 * [backup-simplify]: Simplify 1 into 1 37.308 * [backup-simplify]: Simplify (* 1/2 0) into 0 37.309 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 37.309 * [taylor]: Taking taylor expansion of J in K 37.309 * [backup-simplify]: Simplify J into J 37.309 * [backup-simplify]: Simplify (* 1 J) into J 37.309 * [backup-simplify]: Simplify (/ U J) into (/ U J) 37.309 * [backup-simplify]: Simplify (* 1 1) into 1 37.309 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 37.309 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 37.309 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 37.310 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 37.310 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 37.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.310 * [backup-simplify]: Simplify (+ 0) into 0 37.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 37.311 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 37.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 37.311 * [backup-simplify]: Simplify (+ 0) into 0 37.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 37.312 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 37.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 37.312 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 37.312 * [backup-simplify]: Simplify (+ 0 0) into 0 37.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 37.313 * [taylor]: Taking taylor expansion of J in K 37.313 * [backup-simplify]: Simplify J into J 37.313 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 37.313 * [taylor]: Taking taylor expansion of -2 in J 37.313 * [backup-simplify]: Simplify -2 into -2 37.313 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 37.313 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 37.313 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 37.313 * [taylor]: Taking taylor expansion of 1/2 in J 37.313 * [backup-simplify]: Simplify 1/2 into 1/2 37.313 * [taylor]: Taking taylor expansion of K in J 37.313 * [backup-simplify]: Simplify K into K 37.313 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.313 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.313 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.313 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 37.313 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 37.313 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 37.313 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 37.313 * [taylor]: Taking taylor expansion of (* 1 1) in J 37.313 * [taylor]: Taking taylor expansion of 1 in J 37.313 * [backup-simplify]: Simplify 1 into 1 37.313 * [taylor]: Taking taylor expansion of 1 in J 37.313 * [backup-simplify]: Simplify 1 into 1 37.313 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 37.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 37.313 * [taylor]: Taking taylor expansion of 1/2 in J 37.313 * [backup-simplify]: Simplify 1/2 into 1/2 37.313 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 37.313 * [taylor]: Taking taylor expansion of U in J 37.313 * [backup-simplify]: Simplify U into U 37.313 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 37.313 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 37.313 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 37.313 * [taylor]: Taking taylor expansion of 1/2 in J 37.313 * [backup-simplify]: Simplify 1/2 into 1/2 37.313 * [taylor]: Taking taylor expansion of K in J 37.313 * [backup-simplify]: Simplify K into K 37.313 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.313 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.313 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.313 * [taylor]: Taking taylor expansion of J in J 37.313 * [backup-simplify]: Simplify 0 into 0 37.313 * [backup-simplify]: Simplify 1 into 1 37.314 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.314 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.314 * [backup-simplify]: Simplify (- 0) into 0 37.314 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.314 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 37.314 * [backup-simplify]: Simplify (+ 0) into 0 37.315 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 37.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 37.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.316 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 37.316 * [backup-simplify]: Simplify (- 0) into 0 37.316 * [backup-simplify]: Simplify (+ 0 0) into 0 37.316 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 37.317 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 37.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 37.317 * [taylor]: Taking taylor expansion of 1/2 in J 37.317 * [backup-simplify]: Simplify 1/2 into 1/2 37.317 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 37.317 * [taylor]: Taking taylor expansion of U in J 37.317 * [backup-simplify]: Simplify U into U 37.317 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 37.317 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 37.317 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 37.317 * [taylor]: Taking taylor expansion of 1/2 in J 37.317 * [backup-simplify]: Simplify 1/2 into 1/2 37.317 * [taylor]: Taking taylor expansion of K in J 37.317 * [backup-simplify]: Simplify K into K 37.317 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.317 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.317 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.317 * [taylor]: Taking taylor expansion of J in J 37.317 * [backup-simplify]: Simplify 0 into 0 37.317 * [backup-simplify]: Simplify 1 into 1 37.317 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.317 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.317 * [backup-simplify]: Simplify (- 0) into 0 37.317 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.317 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 37.318 * [backup-simplify]: Simplify (+ 0) into 0 37.318 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 37.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 37.319 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.319 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 37.319 * [backup-simplify]: Simplify (- 0) into 0 37.320 * [backup-simplify]: Simplify (+ 0 0) into 0 37.320 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 37.320 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 37.320 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 37.321 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 37.321 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 37.321 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 37.321 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 37.322 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.323 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 37.325 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.325 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.326 * [backup-simplify]: Simplify (- 0) into 0 37.326 * [backup-simplify]: Simplify (+ 0 0) into 0 37.327 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 37.327 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 37.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 37.329 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.329 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 37.331 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.332 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.332 * [backup-simplify]: Simplify (- 0) into 0 37.332 * [backup-simplify]: Simplify (+ 0 0) into 0 37.333 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 37.334 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 37.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 37.335 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 37.335 * [backup-simplify]: Simplify (+ 0 0) into 0 37.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 37.335 * [taylor]: Taking taylor expansion of J in J 37.335 * [backup-simplify]: Simplify 0 into 0 37.335 * [backup-simplify]: Simplify 1 into 1 37.335 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 37.335 * [taylor]: Taking taylor expansion of -2 in U 37.335 * [backup-simplify]: Simplify -2 into -2 37.335 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 37.336 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 37.336 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 37.336 * [taylor]: Taking taylor expansion of 1/2 in U 37.336 * [backup-simplify]: Simplify 1/2 into 1/2 37.336 * [taylor]: Taking taylor expansion of K in U 37.336 * [backup-simplify]: Simplify K into K 37.336 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.336 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.336 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.336 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 37.336 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 37.336 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 37.336 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 37.336 * [taylor]: Taking taylor expansion of (* 1 1) in U 37.336 * [taylor]: Taking taylor expansion of 1 in U 37.336 * [backup-simplify]: Simplify 1 into 1 37.336 * [taylor]: Taking taylor expansion of 1 in U 37.336 * [backup-simplify]: Simplify 1 into 1 37.336 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 37.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 37.336 * [taylor]: Taking taylor expansion of 1/2 in U 37.336 * [backup-simplify]: Simplify 1/2 into 1/2 37.336 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 37.336 * [taylor]: Taking taylor expansion of U in U 37.336 * [backup-simplify]: Simplify 0 into 0 37.336 * [backup-simplify]: Simplify 1 into 1 37.336 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 37.336 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 37.336 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 37.337 * [taylor]: Taking taylor expansion of 1/2 in U 37.337 * [backup-simplify]: Simplify 1/2 into 1/2 37.337 * [taylor]: Taking taylor expansion of K in U 37.337 * [backup-simplify]: Simplify K into K 37.337 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.337 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.337 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.337 * [taylor]: Taking taylor expansion of J in U 37.337 * [backup-simplify]: Simplify J into J 37.337 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.337 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.338 * [backup-simplify]: Simplify (- 0) into 0 37.338 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.338 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 37.338 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 37.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 37.338 * [taylor]: Taking taylor expansion of 1/2 in U 37.338 * [backup-simplify]: Simplify 1/2 into 1/2 37.338 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 37.338 * [taylor]: Taking taylor expansion of U in U 37.338 * [backup-simplify]: Simplify 0 into 0 37.338 * [backup-simplify]: Simplify 1 into 1 37.338 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 37.338 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 37.338 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 37.338 * [taylor]: Taking taylor expansion of 1/2 in U 37.338 * [backup-simplify]: Simplify 1/2 into 1/2 37.338 * [taylor]: Taking taylor expansion of K in U 37.338 * [backup-simplify]: Simplify K into K 37.338 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.338 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.338 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.338 * [taylor]: Taking taylor expansion of J in U 37.338 * [backup-simplify]: Simplify J into J 37.338 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.339 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.339 * [backup-simplify]: Simplify (- 0) into 0 37.339 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.339 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 37.339 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 37.340 * [backup-simplify]: Simplify (* 1 1) into 1 37.340 * [backup-simplify]: Simplify (+ 1 0) into 1 37.341 * [backup-simplify]: Simplify (sqrt 1) into 1 37.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.342 * [backup-simplify]: Simplify (+ 0 0) into 0 37.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.342 * [taylor]: Taking taylor expansion of J in U 37.342 * [backup-simplify]: Simplify J into J 37.342 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 37.342 * [taylor]: Taking taylor expansion of -2 in U 37.342 * [backup-simplify]: Simplify -2 into -2 37.342 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 37.342 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 37.343 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 37.343 * [taylor]: Taking taylor expansion of 1/2 in U 37.343 * [backup-simplify]: Simplify 1/2 into 1/2 37.343 * [taylor]: Taking taylor expansion of K in U 37.343 * [backup-simplify]: Simplify K into K 37.343 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.343 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.343 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.343 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 37.343 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 37.343 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 37.343 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 37.343 * [taylor]: Taking taylor expansion of (* 1 1) in U 37.343 * [taylor]: Taking taylor expansion of 1 in U 37.343 * [backup-simplify]: Simplify 1 into 1 37.343 * [taylor]: Taking taylor expansion of 1 in U 37.343 * [backup-simplify]: Simplify 1 into 1 37.343 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 37.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 37.343 * [taylor]: Taking taylor expansion of 1/2 in U 37.343 * [backup-simplify]: Simplify 1/2 into 1/2 37.343 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 37.343 * [taylor]: Taking taylor expansion of U in U 37.343 * [backup-simplify]: Simplify 0 into 0 37.343 * [backup-simplify]: Simplify 1 into 1 37.343 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 37.343 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 37.343 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 37.343 * [taylor]: Taking taylor expansion of 1/2 in U 37.343 * [backup-simplify]: Simplify 1/2 into 1/2 37.344 * [taylor]: Taking taylor expansion of K in U 37.344 * [backup-simplify]: Simplify K into K 37.344 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.344 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.344 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.344 * [taylor]: Taking taylor expansion of J in U 37.344 * [backup-simplify]: Simplify J into J 37.344 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.344 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.344 * [backup-simplify]: Simplify (- 0) into 0 37.344 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.345 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 37.345 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 37.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 37.345 * [taylor]: Taking taylor expansion of 1/2 in U 37.345 * [backup-simplify]: Simplify 1/2 into 1/2 37.345 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 37.345 * [taylor]: Taking taylor expansion of U in U 37.345 * [backup-simplify]: Simplify 0 into 0 37.345 * [backup-simplify]: Simplify 1 into 1 37.345 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 37.345 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 37.345 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 37.345 * [taylor]: Taking taylor expansion of 1/2 in U 37.345 * [backup-simplify]: Simplify 1/2 into 1/2 37.345 * [taylor]: Taking taylor expansion of K in U 37.345 * [backup-simplify]: Simplify K into K 37.345 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.345 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.345 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.345 * [taylor]: Taking taylor expansion of J in U 37.345 * [backup-simplify]: Simplify J into J 37.345 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.346 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.346 * [backup-simplify]: Simplify (- 0) into 0 37.346 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.346 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 37.346 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 37.347 * [backup-simplify]: Simplify (* 1 1) into 1 37.347 * [backup-simplify]: Simplify (+ 1 0) into 1 37.348 * [backup-simplify]: Simplify (sqrt 1) into 1 37.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.349 * [backup-simplify]: Simplify (+ 0 0) into 0 37.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.350 * [taylor]: Taking taylor expansion of J in U 37.350 * [backup-simplify]: Simplify J into J 37.350 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.350 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.350 * [backup-simplify]: Simplify (- 0) into 0 37.350 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.350 * [backup-simplify]: Simplify (* 1 J) into J 37.350 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 37.351 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 37.351 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 37.351 * [taylor]: Taking taylor expansion of -2 in J 37.351 * [backup-simplify]: Simplify -2 into -2 37.351 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 37.351 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 37.351 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 37.351 * [taylor]: Taking taylor expansion of 1/2 in J 37.351 * [backup-simplify]: Simplify 1/2 into 1/2 37.351 * [taylor]: Taking taylor expansion of K in J 37.351 * [backup-simplify]: Simplify K into K 37.351 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.351 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.351 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.351 * [taylor]: Taking taylor expansion of J in J 37.351 * [backup-simplify]: Simplify 0 into 0 37.351 * [backup-simplify]: Simplify 1 into 1 37.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 37.352 * [backup-simplify]: Simplify (+ 0) into 0 37.352 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 37.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 37.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.354 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 37.355 * [backup-simplify]: Simplify (- 0) into 0 37.355 * [backup-simplify]: Simplify (+ 0 0) into 0 37.355 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 37.356 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 37.356 * [taylor]: Taking taylor expansion of 0 in J 37.356 * [backup-simplify]: Simplify 0 into 0 37.356 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.356 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.356 * [backup-simplify]: Simplify (- 0) into 0 37.356 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.357 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 37.357 * [backup-simplify]: Simplify (* -2 0) into 0 37.357 * [taylor]: Taking taylor expansion of 0 in K 37.357 * [backup-simplify]: Simplify 0 into 0 37.357 * [backup-simplify]: Simplify 0 into 0 37.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.358 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 37.358 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 37.359 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 37.359 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 37.360 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 37.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 37.362 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.363 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 37.365 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.365 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.365 * [backup-simplify]: Simplify (- 0) into 0 37.366 * [backup-simplify]: Simplify (+ 0 0) into 0 37.366 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 37.367 * [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)))) 37.367 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 37.367 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 37.367 * [taylor]: Taking taylor expansion of 1/4 in J 37.367 * [backup-simplify]: Simplify 1/4 into 1/4 37.367 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 37.367 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 37.367 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 37.367 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 37.367 * [taylor]: Taking taylor expansion of 1/2 in J 37.367 * [backup-simplify]: Simplify 1/2 into 1/2 37.367 * [taylor]: Taking taylor expansion of K in J 37.367 * [backup-simplify]: Simplify K into K 37.367 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.368 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.368 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.368 * [taylor]: Taking taylor expansion of J in J 37.368 * [backup-simplify]: Simplify 0 into 0 37.368 * [backup-simplify]: Simplify 1 into 1 37.368 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.368 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.368 * [backup-simplify]: Simplify (- 0) into 0 37.368 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.368 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 37.369 * [backup-simplify]: Simplify (+ 0) into 0 37.369 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 37.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 37.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.371 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 37.371 * [backup-simplify]: Simplify (- 0) into 0 37.372 * [backup-simplify]: Simplify (+ 0 0) into 0 37.372 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 37.372 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 37.372 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 37.372 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 37.373 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 37.373 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 37.373 * [taylor]: Taking taylor expansion of 1/4 in K 37.373 * [backup-simplify]: Simplify 1/4 into 1/4 37.373 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 37.373 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 37.373 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 37.373 * [taylor]: Taking taylor expansion of 1/2 in K 37.373 * [backup-simplify]: Simplify 1/2 into 1/2 37.373 * [taylor]: Taking taylor expansion of K in K 37.373 * [backup-simplify]: Simplify 0 into 0 37.373 * [backup-simplify]: Simplify 1 into 1 37.373 * [backup-simplify]: Simplify (* 1/2 0) into 0 37.374 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 37.374 * [backup-simplify]: Simplify (/ 1 1) into 1 37.375 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 37.375 * [backup-simplify]: Simplify (- 1/4) into -1/4 37.375 * [backup-simplify]: Simplify -1/4 into -1/4 37.375 * [taylor]: Taking taylor expansion of 0 in K 37.375 * [backup-simplify]: Simplify 0 into 0 37.375 * [backup-simplify]: Simplify 0 into 0 37.376 * [backup-simplify]: Simplify (+ 0) into 0 37.376 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 37.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 37.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.378 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 37.379 * [backup-simplify]: Simplify (- 0) into 0 37.379 * [backup-simplify]: Simplify (+ 0 0) into 0 37.379 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 37.380 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 37.380 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 37.380 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 37.380 * [taylor]: Taking taylor expansion of 2 in K 37.380 * [backup-simplify]: Simplify 2 into 2 37.380 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 37.380 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 37.380 * [taylor]: Taking taylor expansion of 1/2 in K 37.380 * [backup-simplify]: Simplify 1/2 into 1/2 37.380 * [taylor]: Taking taylor expansion of K in K 37.380 * [backup-simplify]: Simplify 0 into 0 37.380 * [backup-simplify]: Simplify 1 into 1 37.381 * [backup-simplify]: Simplify (* 1/2 0) into 0 37.382 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 37.382 * [backup-simplify]: Simplify (* 2 1) into 2 37.383 * [backup-simplify]: Simplify (- 2) into -2 37.383 * [backup-simplify]: Simplify -2 into -2 37.383 * [backup-simplify]: Simplify 0 into 0 37.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.385 * [backup-simplify]: Simplify (+ 0) into 0 37.385 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 37.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 37.387 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.387 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 37.388 * [backup-simplify]: Simplify (- 0) into 0 37.388 * [backup-simplify]: Simplify (+ 0 0) into 0 37.388 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 37.389 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 37.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 37.390 * [backup-simplify]: Simplify (+ 0) into 0 37.390 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 37.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 37.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.392 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 37.392 * [backup-simplify]: Simplify (- 0) into 0 37.392 * [backup-simplify]: Simplify (+ 0 0) into 0 37.392 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 37.393 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 37.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 37.394 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 37.394 * [backup-simplify]: Simplify (+ 0 0) into 0 37.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 37.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 37.397 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.397 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 37.400 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.401 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.401 * [backup-simplify]: Simplify (- 0) into 0 37.401 * [backup-simplify]: Simplify (+ 0 0) into 0 37.402 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 37.403 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 37.403 * [taylor]: Taking taylor expansion of 0 in J 37.403 * [backup-simplify]: Simplify 0 into 0 37.404 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.405 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 37.406 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.407 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.407 * [backup-simplify]: Simplify (- 0) into 0 37.408 * [backup-simplify]: Simplify (+ 0 0) into 0 37.408 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 37.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 37.409 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 37.410 * [backup-simplify]: Simplify (- 0) into 0 37.410 * [taylor]: Taking taylor expansion of 0 in K 37.410 * [backup-simplify]: Simplify 0 into 0 37.410 * [backup-simplify]: Simplify 0 into 0 37.410 * [taylor]: Taking taylor expansion of 0 in K 37.410 * [backup-simplify]: Simplify 0 into 0 37.410 * [backup-simplify]: Simplify 0 into 0 37.411 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.411 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 37.413 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.414 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.414 * [backup-simplify]: Simplify (- 0) into 0 37.414 * [backup-simplify]: Simplify (+ 0 0) into 0 37.415 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 37.416 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 37.416 * [taylor]: Taking taylor expansion of 0 in K 37.416 * [backup-simplify]: Simplify 0 into 0 37.416 * [backup-simplify]: Simplify 0 into 0 37.416 * [backup-simplify]: Simplify (+ 0) into 0 37.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.418 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 37.418 * [backup-simplify]: Simplify (- 0) into 0 37.418 * [backup-simplify]: Simplify 0 into 0 37.418 * [backup-simplify]: Simplify 0 into 0 37.419 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 37.419 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)))) (* (sqrt (cos (/ (/ 1 K) 2))) (* (sqrt (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J))))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 37.419 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 37.419 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 37.419 * [taylor]: Taking taylor expansion of -2 in K 37.419 * [backup-simplify]: Simplify -2 into -2 37.419 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 37.419 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 37.419 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 37.419 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 37.419 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 37.419 * [taylor]: Taking taylor expansion of (* 1 1) in K 37.419 * [taylor]: Taking taylor expansion of 1 in K 37.419 * [backup-simplify]: Simplify 1 into 1 37.419 * [taylor]: Taking taylor expansion of 1 in K 37.419 * [backup-simplify]: Simplify 1 into 1 37.419 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 37.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 37.419 * [taylor]: Taking taylor expansion of 1/2 in K 37.420 * [backup-simplify]: Simplify 1/2 into 1/2 37.420 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 37.420 * [taylor]: Taking taylor expansion of J in K 37.420 * [backup-simplify]: Simplify J into J 37.420 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 37.420 * [taylor]: Taking taylor expansion of U in K 37.420 * [backup-simplify]: Simplify U into U 37.420 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 37.420 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 37.420 * [taylor]: Taking taylor expansion of 1/2 in K 37.420 * [backup-simplify]: Simplify 1/2 into 1/2 37.420 * [taylor]: Taking taylor expansion of K in K 37.420 * [backup-simplify]: Simplify 0 into 0 37.420 * [backup-simplify]: Simplify 1 into 1 37.420 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 37.420 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.420 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 37.420 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 37.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 37.420 * [taylor]: Taking taylor expansion of 1/2 in K 37.420 * [backup-simplify]: Simplify 1/2 into 1/2 37.420 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 37.420 * [taylor]: Taking taylor expansion of J in K 37.420 * [backup-simplify]: Simplify J into J 37.420 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 37.420 * [taylor]: Taking taylor expansion of U in K 37.420 * [backup-simplify]: Simplify U into U 37.420 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 37.420 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 37.420 * [taylor]: Taking taylor expansion of 1/2 in K 37.420 * [backup-simplify]: Simplify 1/2 into 1/2 37.420 * [taylor]: Taking taylor expansion of K in K 37.420 * [backup-simplify]: Simplify 0 into 0 37.420 * [backup-simplify]: Simplify 1 into 1 37.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 37.421 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.421 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 37.421 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 37.423 * [backup-simplify]: Simplify (* 1 1) into 1 37.423 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 37.423 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 37.423 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 37.424 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 37.424 * [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)) 37.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.424 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 37.425 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 37.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 37.425 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 37.425 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 37.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 37.426 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 37.426 * [backup-simplify]: Simplify (+ 0 0) into 0 37.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 37.426 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 37.426 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 37.426 * [taylor]: Taking taylor expansion of 1/2 in K 37.426 * [backup-simplify]: Simplify 1/2 into 1/2 37.426 * [taylor]: Taking taylor expansion of K in K 37.426 * [backup-simplify]: Simplify 0 into 0 37.426 * [backup-simplify]: Simplify 1 into 1 37.427 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 37.427 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.427 * [taylor]: Taking taylor expansion of J in K 37.427 * [backup-simplify]: Simplify J into J 37.427 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 37.427 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 37.427 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 37.427 * [taylor]: Taking taylor expansion of -2 in J 37.427 * [backup-simplify]: Simplify -2 into -2 37.427 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 37.427 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 37.428 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 37.428 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 37.428 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 37.428 * [taylor]: Taking taylor expansion of (* 1 1) in J 37.428 * [taylor]: Taking taylor expansion of 1 in J 37.428 * [backup-simplify]: Simplify 1 into 1 37.428 * [taylor]: Taking taylor expansion of 1 in J 37.428 * [backup-simplify]: Simplify 1 into 1 37.428 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 37.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 37.428 * [taylor]: Taking taylor expansion of 1/2 in J 37.428 * [backup-simplify]: Simplify 1/2 into 1/2 37.428 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 37.428 * [taylor]: Taking taylor expansion of J in J 37.428 * [backup-simplify]: Simplify 0 into 0 37.428 * [backup-simplify]: Simplify 1 into 1 37.428 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 37.428 * [taylor]: Taking taylor expansion of U in J 37.428 * [backup-simplify]: Simplify U into U 37.428 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 37.428 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 37.428 * [taylor]: Taking taylor expansion of 1/2 in J 37.428 * [backup-simplify]: Simplify 1/2 into 1/2 37.428 * [taylor]: Taking taylor expansion of K in J 37.428 * [backup-simplify]: Simplify K into K 37.428 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.428 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.428 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.428 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.428 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.428 * [backup-simplify]: Simplify (- 0) into 0 37.428 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.429 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 37.429 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 37.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 37.429 * [taylor]: Taking taylor expansion of 1/2 in J 37.429 * [backup-simplify]: Simplify 1/2 into 1/2 37.429 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 37.429 * [taylor]: Taking taylor expansion of J in J 37.429 * [backup-simplify]: Simplify 0 into 0 37.429 * [backup-simplify]: Simplify 1 into 1 37.429 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 37.429 * [taylor]: Taking taylor expansion of U in J 37.429 * [backup-simplify]: Simplify U into U 37.429 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 37.429 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 37.429 * [taylor]: Taking taylor expansion of 1/2 in J 37.429 * [backup-simplify]: Simplify 1/2 into 1/2 37.429 * [taylor]: Taking taylor expansion of K in J 37.429 * [backup-simplify]: Simplify K into K 37.429 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.429 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.429 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.429 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.429 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.429 * [backup-simplify]: Simplify (- 0) into 0 37.429 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.429 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 37.430 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 37.430 * [backup-simplify]: Simplify (* 1 1) into 1 37.430 * [backup-simplify]: Simplify (+ 1 0) into 1 37.430 * [backup-simplify]: Simplify (sqrt 1) into 1 37.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.431 * [backup-simplify]: Simplify (+ 0 0) into 0 37.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.431 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 37.431 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 37.431 * [taylor]: Taking taylor expansion of 1/2 in J 37.431 * [backup-simplify]: Simplify 1/2 into 1/2 37.431 * [taylor]: Taking taylor expansion of K in J 37.431 * [backup-simplify]: Simplify K into K 37.432 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.432 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.432 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.432 * [taylor]: Taking taylor expansion of J in J 37.432 * [backup-simplify]: Simplify 0 into 0 37.432 * [backup-simplify]: Simplify 1 into 1 37.432 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.432 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.432 * [backup-simplify]: Simplify (- 0) into 0 37.432 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.432 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 37.432 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.432 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 37.432 * [taylor]: Taking taylor expansion of -2 in U 37.432 * [backup-simplify]: Simplify -2 into -2 37.432 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 37.432 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 37.432 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 37.432 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 37.432 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 37.432 * [taylor]: Taking taylor expansion of (* 1 1) in U 37.432 * [taylor]: Taking taylor expansion of 1 in U 37.432 * [backup-simplify]: Simplify 1 into 1 37.432 * [taylor]: Taking taylor expansion of 1 in U 37.432 * [backup-simplify]: Simplify 1 into 1 37.432 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 37.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 37.432 * [taylor]: Taking taylor expansion of 1/2 in U 37.433 * [backup-simplify]: Simplify 1/2 into 1/2 37.433 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 37.433 * [taylor]: Taking taylor expansion of J in U 37.433 * [backup-simplify]: Simplify J into J 37.433 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 37.433 * [taylor]: Taking taylor expansion of U in U 37.433 * [backup-simplify]: Simplify 0 into 0 37.433 * [backup-simplify]: Simplify 1 into 1 37.433 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 37.433 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 37.433 * [taylor]: Taking taylor expansion of 1/2 in U 37.433 * [backup-simplify]: Simplify 1/2 into 1/2 37.433 * [taylor]: Taking taylor expansion of K in U 37.433 * [backup-simplify]: Simplify K into K 37.433 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.433 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.433 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.433 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.433 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.433 * [backup-simplify]: Simplify (- 0) into 0 37.433 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.433 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 37.434 * [backup-simplify]: Simplify (+ 0) into 0 37.434 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 37.434 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 37.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.435 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 37.435 * [backup-simplify]: Simplify (- 0) into 0 37.435 * [backup-simplify]: Simplify (+ 0 0) into 0 37.436 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 37.436 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 37.436 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 37.436 * [taylor]: Taking taylor expansion of 1/2 in U 37.436 * [backup-simplify]: Simplify 1/2 into 1/2 37.436 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 37.436 * [taylor]: Taking taylor expansion of J in U 37.436 * [backup-simplify]: Simplify J into J 37.436 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 37.436 * [taylor]: Taking taylor expansion of U in U 37.436 * [backup-simplify]: Simplify 0 into 0 37.436 * [backup-simplify]: Simplify 1 into 1 37.436 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 37.436 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 37.436 * [taylor]: Taking taylor expansion of 1/2 in U 37.436 * [backup-simplify]: Simplify 1/2 into 1/2 37.436 * [taylor]: Taking taylor expansion of K in U 37.436 * [backup-simplify]: Simplify K into K 37.436 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.436 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.436 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.436 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.436 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.437 * [backup-simplify]: Simplify (- 0) into 0 37.437 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.437 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 37.437 * [backup-simplify]: Simplify (+ 0) into 0 37.437 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 37.437 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 37.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 37.438 * [backup-simplify]: Simplify (- 0) into 0 37.439 * [backup-simplify]: Simplify (+ 0 0) into 0 37.439 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 37.439 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 37.439 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 37.439 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 37.439 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 37.439 * [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))) 37.440 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 37.440 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.441 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.441 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.441 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.441 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.442 * [backup-simplify]: Simplify (- 0) into 0 37.442 * [backup-simplify]: Simplify (+ 0 0) into 0 37.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 37.443 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 37.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 37.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.444 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.445 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.445 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.445 * [backup-simplify]: Simplify (- 0) into 0 37.445 * [backup-simplify]: Simplify (+ 0 0) into 0 37.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 37.446 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 37.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 37.447 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 37.447 * [backup-simplify]: Simplify (+ 0 0) into 0 37.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 37.448 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 37.448 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 37.448 * [taylor]: Taking taylor expansion of 1/2 in U 37.448 * [backup-simplify]: Simplify 1/2 into 1/2 37.448 * [taylor]: Taking taylor expansion of K in U 37.448 * [backup-simplify]: Simplify K into K 37.448 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.448 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.448 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.448 * [taylor]: Taking taylor expansion of J in U 37.448 * [backup-simplify]: Simplify J into J 37.448 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.448 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.449 * [backup-simplify]: Simplify (- 0) into 0 37.449 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.449 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 37.449 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 37.449 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 37.449 * [taylor]: Taking taylor expansion of -2 in U 37.449 * [backup-simplify]: Simplify -2 into -2 37.449 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 37.449 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 37.449 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 37.449 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 37.449 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 37.449 * [taylor]: Taking taylor expansion of (* 1 1) in U 37.449 * [taylor]: Taking taylor expansion of 1 in U 37.449 * [backup-simplify]: Simplify 1 into 1 37.449 * [taylor]: Taking taylor expansion of 1 in U 37.449 * [backup-simplify]: Simplify 1 into 1 37.449 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 37.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 37.449 * [taylor]: Taking taylor expansion of 1/2 in U 37.449 * [backup-simplify]: Simplify 1/2 into 1/2 37.449 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 37.450 * [taylor]: Taking taylor expansion of J in U 37.450 * [backup-simplify]: Simplify J into J 37.450 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 37.450 * [taylor]: Taking taylor expansion of U in U 37.450 * [backup-simplify]: Simplify 0 into 0 37.450 * [backup-simplify]: Simplify 1 into 1 37.450 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 37.450 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 37.450 * [taylor]: Taking taylor expansion of 1/2 in U 37.450 * [backup-simplify]: Simplify 1/2 into 1/2 37.450 * [taylor]: Taking taylor expansion of K in U 37.450 * [backup-simplify]: Simplify K into K 37.450 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.450 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.450 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.450 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.450 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.451 * [backup-simplify]: Simplify (- 0) into 0 37.451 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.451 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 37.451 * [backup-simplify]: Simplify (+ 0) into 0 37.452 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 37.452 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 37.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.454 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 37.454 * [backup-simplify]: Simplify (- 0) into 0 37.454 * [backup-simplify]: Simplify (+ 0 0) into 0 37.455 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 37.455 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 37.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 37.455 * [taylor]: Taking taylor expansion of 1/2 in U 37.455 * [backup-simplify]: Simplify 1/2 into 1/2 37.455 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 37.455 * [taylor]: Taking taylor expansion of J in U 37.455 * [backup-simplify]: Simplify J into J 37.455 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 37.455 * [taylor]: Taking taylor expansion of U in U 37.455 * [backup-simplify]: Simplify 0 into 0 37.455 * [backup-simplify]: Simplify 1 into 1 37.455 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 37.455 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 37.455 * [taylor]: Taking taylor expansion of 1/2 in U 37.455 * [backup-simplify]: Simplify 1/2 into 1/2 37.455 * [taylor]: Taking taylor expansion of K in U 37.456 * [backup-simplify]: Simplify K into K 37.456 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.456 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.456 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.456 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.456 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.456 * [backup-simplify]: Simplify (- 0) into 0 37.457 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.457 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 37.457 * [backup-simplify]: Simplify (+ 0) into 0 37.458 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 37.458 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 37.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.459 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 37.459 * [backup-simplify]: Simplify (- 0) into 0 37.460 * [backup-simplify]: Simplify (+ 0 0) into 0 37.460 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 37.460 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 37.460 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 37.461 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 37.461 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 37.461 * [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))) 37.461 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 37.462 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.463 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.463 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.464 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.464 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.465 * [backup-simplify]: Simplify (- 0) into 0 37.465 * [backup-simplify]: Simplify (+ 0 0) into 0 37.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 37.466 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 37.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 37.468 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.469 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.469 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.470 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.470 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.471 * [backup-simplify]: Simplify (- 0) into 0 37.471 * [backup-simplify]: Simplify (+ 0 0) into 0 37.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 37.472 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 37.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 37.473 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 37.473 * [backup-simplify]: Simplify (+ 0 0) into 0 37.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 37.474 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 37.474 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 37.474 * [taylor]: Taking taylor expansion of 1/2 in U 37.474 * [backup-simplify]: Simplify 1/2 into 1/2 37.474 * [taylor]: Taking taylor expansion of K in U 37.474 * [backup-simplify]: Simplify K into K 37.474 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.474 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.474 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.474 * [taylor]: Taking taylor expansion of J in U 37.474 * [backup-simplify]: Simplify J into J 37.474 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.474 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.475 * [backup-simplify]: Simplify (- 0) into 0 37.475 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.475 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 37.475 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 37.476 * [backup-simplify]: Simplify (* -2 1/2) into -1 37.476 * [taylor]: Taking taylor expansion of -1 in J 37.476 * [backup-simplify]: Simplify -1 into -1 37.476 * [backup-simplify]: Simplify (+ 0) into 0 37.477 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 37.477 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 37.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.478 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 37.478 * [backup-simplify]: Simplify (- 0) into 0 37.479 * [backup-simplify]: Simplify (+ 0 0) into 0 37.479 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 37.479 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 37.480 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 37.480 * [taylor]: Taking taylor expansion of 0 in J 37.480 * [backup-simplify]: Simplify 0 into 0 37.480 * [taylor]: Taking taylor expansion of -1 in K 37.480 * [backup-simplify]: Simplify -1 into -1 37.480 * [backup-simplify]: Simplify -1 into -1 37.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.482 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.482 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.483 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.483 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.484 * [backup-simplify]: Simplify (- 0) into 0 37.484 * [backup-simplify]: Simplify (+ 0 0) into 0 37.484 * [backup-simplify]: Simplify (* 1 1) into 1 37.485 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.486 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.486 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.488 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.489 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.489 * [backup-simplify]: Simplify (- 0) into 0 37.489 * [backup-simplify]: Simplify (+ 0 0) into 0 37.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 37.491 * [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 37.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 37.493 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.493 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.494 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.496 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.496 * [backup-simplify]: Simplify (- 0) into 0 37.497 * [backup-simplify]: Simplify (+ 0 0) into 0 37.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 37.498 * [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 37.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 37.500 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 37.500 * [backup-simplify]: Simplify (+ 1 0) into 1 37.501 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 37.502 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 37.502 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 37.503 * [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)))) 37.503 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 37.503 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 37.503 * [taylor]: Taking taylor expansion of 2 in J 37.503 * [backup-simplify]: Simplify 2 into 2 37.503 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 37.503 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 37.503 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 37.504 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 37.504 * [taylor]: Taking taylor expansion of 1/2 in J 37.504 * [backup-simplify]: Simplify 1/2 into 1/2 37.504 * [taylor]: Taking taylor expansion of K in J 37.504 * [backup-simplify]: Simplify K into K 37.504 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.504 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.504 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.504 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.504 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.504 * [backup-simplify]: Simplify (- 0) into 0 37.505 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.505 * [taylor]: Taking taylor expansion of (pow J 2) in J 37.505 * [taylor]: Taking taylor expansion of J in J 37.505 * [backup-simplify]: Simplify 0 into 0 37.505 * [backup-simplify]: Simplify 1 into 1 37.505 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 37.505 * [backup-simplify]: Simplify (* 1 1) into 1 37.505 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 37.506 * [backup-simplify]: Simplify (+ 0) into 0 37.506 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 37.506 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 37.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.508 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 37.508 * [backup-simplify]: Simplify (- 0) into 0 37.509 * [backup-simplify]: Simplify (+ 0 0) into 0 37.509 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 37.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 37.511 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 37.511 * [backup-simplify]: Simplify (- 0) into 0 37.511 * [taylor]: Taking taylor expansion of 0 in K 37.512 * [backup-simplify]: Simplify 0 into 0 37.512 * [backup-simplify]: Simplify 0 into 0 37.512 * [taylor]: Taking taylor expansion of 0 in K 37.512 * [backup-simplify]: Simplify 0 into 0 37.512 * [backup-simplify]: Simplify 0 into 0 37.512 * [taylor]: Taking taylor expansion of 0 in K 37.512 * [backup-simplify]: Simplify 0 into 0 37.512 * [backup-simplify]: Simplify 0 into 0 37.512 * [backup-simplify]: Simplify 0 into 0 37.513 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.514 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.515 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.516 * [backup-simplify]: Simplify (- 0) into 0 37.517 * [backup-simplify]: Simplify (+ 0 0) into 0 37.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.520 * [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 37.521 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.521 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.523 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 37.523 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 37.524 * [backup-simplify]: Simplify (- 0) into 0 37.524 * [backup-simplify]: Simplify (+ 0 0) into 0 37.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 37.526 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 37.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 37.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 37.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.531 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.533 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 37.533 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 37.534 * [backup-simplify]: Simplify (- 0) into 0 37.534 * [backup-simplify]: Simplify (+ 0 0) into 0 37.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 37.536 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 37.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 37.538 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 37.539 * [backup-simplify]: Simplify (+ 0 0) into 0 37.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 37.540 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 37.540 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 37.541 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 37.541 * [taylor]: Taking taylor expansion of 0 in J 37.541 * [backup-simplify]: Simplify 0 into 0 37.542 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.543 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.544 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.544 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.545 * [backup-simplify]: Simplify (- 0) into 0 37.545 * [backup-simplify]: Simplify (+ 0 0) into 0 37.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 37.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.548 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 37.549 * [backup-simplify]: Simplify (- 0) into 0 37.549 * [taylor]: Taking taylor expansion of 0 in K 37.549 * [backup-simplify]: Simplify 0 into 0 37.549 * [backup-simplify]: Simplify 0 into 0 37.549 * [taylor]: Taking taylor expansion of 0 in K 37.549 * [backup-simplify]: Simplify 0 into 0 37.549 * [backup-simplify]: Simplify 0 into 0 37.549 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 37.549 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)))) (* (sqrt (cos (/ (/ 1 (- K)) 2))) (* (sqrt (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J)))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 37.549 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 37.549 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 37.549 * [taylor]: Taking taylor expansion of 2 in K 37.549 * [backup-simplify]: Simplify 2 into 2 37.549 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 37.549 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 37.549 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 37.549 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 37.549 * [taylor]: Taking taylor expansion of -1/2 in K 37.549 * [backup-simplify]: Simplify -1/2 into -1/2 37.549 * [taylor]: Taking taylor expansion of K in K 37.549 * [backup-simplify]: Simplify 0 into 0 37.550 * [backup-simplify]: Simplify 1 into 1 37.550 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 37.550 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.550 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 37.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 37.550 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 37.550 * [taylor]: Taking taylor expansion of (* 1 1) in K 37.550 * [taylor]: Taking taylor expansion of 1 in K 37.550 * [backup-simplify]: Simplify 1 into 1 37.550 * [taylor]: Taking taylor expansion of 1 in K 37.550 * [backup-simplify]: Simplify 1 into 1 37.550 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 37.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 37.550 * [taylor]: Taking taylor expansion of 1/2 in K 37.550 * [backup-simplify]: Simplify 1/2 into 1/2 37.550 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 37.550 * [taylor]: Taking taylor expansion of J in K 37.550 * [backup-simplify]: Simplify J into J 37.550 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 37.550 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 37.550 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 37.550 * [taylor]: Taking taylor expansion of -1/2 in K 37.550 * [backup-simplify]: Simplify -1/2 into -1/2 37.550 * [taylor]: Taking taylor expansion of K in K 37.550 * [backup-simplify]: Simplify 0 into 0 37.550 * [backup-simplify]: Simplify 1 into 1 37.551 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 37.551 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.551 * [taylor]: Taking taylor expansion of U in K 37.551 * [backup-simplify]: Simplify U into U 37.551 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 37.551 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 37.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 37.551 * [taylor]: Taking taylor expansion of 1/2 in K 37.551 * [backup-simplify]: Simplify 1/2 into 1/2 37.551 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 37.551 * [taylor]: Taking taylor expansion of J in K 37.551 * [backup-simplify]: Simplify J into J 37.551 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 37.551 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 37.551 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 37.551 * [taylor]: Taking taylor expansion of -1/2 in K 37.551 * [backup-simplify]: Simplify -1/2 into -1/2 37.551 * [taylor]: Taking taylor expansion of K in K 37.551 * [backup-simplify]: Simplify 0 into 0 37.551 * [backup-simplify]: Simplify 1 into 1 37.551 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 37.552 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.552 * [taylor]: Taking taylor expansion of U in K 37.552 * [backup-simplify]: Simplify U into U 37.552 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 37.552 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 37.553 * [backup-simplify]: Simplify (* 1 1) into 1 37.553 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 37.553 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 37.553 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 37.554 * [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))))) 37.554 * [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)))))) 37.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 37.555 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 37.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 37.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 37.555 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 37.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 37.556 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 37.556 * [backup-simplify]: Simplify (+ 0 0) into 0 37.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 37.556 * [taylor]: Taking taylor expansion of J in K 37.556 * [backup-simplify]: Simplify J into J 37.557 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 37.557 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 37.557 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 37.557 * [taylor]: Taking taylor expansion of 2 in J 37.557 * [backup-simplify]: Simplify 2 into 2 37.557 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 37.557 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 37.557 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 37.557 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 37.557 * [taylor]: Taking taylor expansion of -1/2 in J 37.557 * [backup-simplify]: Simplify -1/2 into -1/2 37.557 * [taylor]: Taking taylor expansion of K in J 37.557 * [backup-simplify]: Simplify K into K 37.557 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.557 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.557 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.557 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 37.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 37.557 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 37.558 * [taylor]: Taking taylor expansion of (* 1 1) in J 37.558 * [taylor]: Taking taylor expansion of 1 in J 37.558 * [backup-simplify]: Simplify 1 into 1 37.558 * [taylor]: Taking taylor expansion of 1 in J 37.558 * [backup-simplify]: Simplify 1 into 1 37.558 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 37.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 37.558 * [taylor]: Taking taylor expansion of 1/2 in J 37.558 * [backup-simplify]: Simplify 1/2 into 1/2 37.558 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 37.558 * [taylor]: Taking taylor expansion of J in J 37.558 * [backup-simplify]: Simplify 0 into 0 37.558 * [backup-simplify]: Simplify 1 into 1 37.558 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 37.558 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 37.558 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 37.558 * [taylor]: Taking taylor expansion of -1/2 in J 37.558 * [backup-simplify]: Simplify -1/2 into -1/2 37.558 * [taylor]: Taking taylor expansion of K in J 37.558 * [backup-simplify]: Simplify K into K 37.558 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.558 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.558 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.558 * [taylor]: Taking taylor expansion of U in J 37.558 * [backup-simplify]: Simplify U into U 37.558 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.558 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.558 * [backup-simplify]: Simplify (- 0) into 0 37.558 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.558 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 37.559 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 37.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 37.559 * [taylor]: Taking taylor expansion of 1/2 in J 37.559 * [backup-simplify]: Simplify 1/2 into 1/2 37.559 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 37.559 * [taylor]: Taking taylor expansion of J in J 37.559 * [backup-simplify]: Simplify 0 into 0 37.559 * [backup-simplify]: Simplify 1 into 1 37.559 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 37.559 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 37.559 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 37.559 * [taylor]: Taking taylor expansion of -1/2 in J 37.559 * [backup-simplify]: Simplify -1/2 into -1/2 37.559 * [taylor]: Taking taylor expansion of K in J 37.559 * [backup-simplify]: Simplify K into K 37.559 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.559 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.559 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.559 * [taylor]: Taking taylor expansion of U in J 37.559 * [backup-simplify]: Simplify U into U 37.559 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.559 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.559 * [backup-simplify]: Simplify (- 0) into 0 37.559 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.559 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 37.559 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 37.560 * [backup-simplify]: Simplify (* 1 1) into 1 37.560 * [backup-simplify]: Simplify (+ 1 0) into 1 37.560 * [backup-simplify]: Simplify (sqrt 1) into 1 37.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.561 * [backup-simplify]: Simplify (+ 0 0) into 0 37.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.561 * [taylor]: Taking taylor expansion of J in J 37.561 * [backup-simplify]: Simplify 0 into 0 37.561 * [backup-simplify]: Simplify 1 into 1 37.561 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.561 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.562 * [backup-simplify]: Simplify (- 0) into 0 37.562 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.562 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.562 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.562 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 37.562 * [taylor]: Taking taylor expansion of 2 in U 37.562 * [backup-simplify]: Simplify 2 into 2 37.562 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 37.562 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 37.562 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 37.562 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 37.562 * [taylor]: Taking taylor expansion of -1/2 in U 37.562 * [backup-simplify]: Simplify -1/2 into -1/2 37.562 * [taylor]: Taking taylor expansion of K in U 37.562 * [backup-simplify]: Simplify K into K 37.562 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.562 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.562 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.562 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 37.562 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 37.562 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 37.562 * [taylor]: Taking taylor expansion of (* 1 1) in U 37.562 * [taylor]: Taking taylor expansion of 1 in U 37.562 * [backup-simplify]: Simplify 1 into 1 37.562 * [taylor]: Taking taylor expansion of 1 in U 37.562 * [backup-simplify]: Simplify 1 into 1 37.562 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 37.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 37.562 * [taylor]: Taking taylor expansion of 1/2 in U 37.562 * [backup-simplify]: Simplify 1/2 into 1/2 37.562 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 37.562 * [taylor]: Taking taylor expansion of J in U 37.562 * [backup-simplify]: Simplify J into J 37.562 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 37.562 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 37.562 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 37.562 * [taylor]: Taking taylor expansion of -1/2 in U 37.562 * [backup-simplify]: Simplify -1/2 into -1/2 37.562 * [taylor]: Taking taylor expansion of K in U 37.562 * [backup-simplify]: Simplify K into K 37.562 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.563 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.563 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.563 * [taylor]: Taking taylor expansion of U in U 37.563 * [backup-simplify]: Simplify 0 into 0 37.563 * [backup-simplify]: Simplify 1 into 1 37.563 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.563 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.563 * [backup-simplify]: Simplify (- 0) into 0 37.563 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.563 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 37.563 * [backup-simplify]: Simplify (+ 0) into 0 37.564 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 37.564 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 37.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.565 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 37.565 * [backup-simplify]: Simplify (- 0) into 0 37.565 * [backup-simplify]: Simplify (+ 0 0) into 0 37.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 37.565 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 37.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 37.565 * [taylor]: Taking taylor expansion of 1/2 in U 37.565 * [backup-simplify]: Simplify 1/2 into 1/2 37.565 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 37.565 * [taylor]: Taking taylor expansion of J in U 37.565 * [backup-simplify]: Simplify J into J 37.565 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 37.565 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 37.565 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 37.566 * [taylor]: Taking taylor expansion of -1/2 in U 37.566 * [backup-simplify]: Simplify -1/2 into -1/2 37.566 * [taylor]: Taking taylor expansion of K in U 37.566 * [backup-simplify]: Simplify K into K 37.566 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.566 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.566 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.566 * [taylor]: Taking taylor expansion of U in U 37.566 * [backup-simplify]: Simplify 0 into 0 37.566 * [backup-simplify]: Simplify 1 into 1 37.566 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.566 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.566 * [backup-simplify]: Simplify (- 0) into 0 37.566 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.566 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 37.566 * [backup-simplify]: Simplify (+ 0) into 0 37.567 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 37.567 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 37.567 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.568 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 37.568 * [backup-simplify]: Simplify (- 0) into 0 37.568 * [backup-simplify]: Simplify (+ 0 0) into 0 37.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 37.568 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 37.569 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 37.569 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 37.569 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 37.569 * [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))) 37.569 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 37.570 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.570 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.571 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.571 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.571 * [backup-simplify]: Simplify (- 0) into 0 37.571 * [backup-simplify]: Simplify (+ 0 0) into 0 37.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 37.572 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 37.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 37.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.573 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.574 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.574 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.574 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.575 * [backup-simplify]: Simplify (- 0) into 0 37.575 * [backup-simplify]: Simplify (+ 0 0) into 0 37.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 37.576 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 37.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 37.577 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 37.577 * [backup-simplify]: Simplify (+ 0 0) into 0 37.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 37.578 * [taylor]: Taking taylor expansion of J in U 37.578 * [backup-simplify]: Simplify J into J 37.578 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.578 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.578 * [backup-simplify]: Simplify (- 0) into 0 37.578 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 37.579 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 37.579 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 37.579 * [taylor]: Taking taylor expansion of 2 in U 37.579 * [backup-simplify]: Simplify 2 into 2 37.579 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 37.579 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 37.579 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 37.579 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 37.579 * [taylor]: Taking taylor expansion of -1/2 in U 37.579 * [backup-simplify]: Simplify -1/2 into -1/2 37.579 * [taylor]: Taking taylor expansion of K in U 37.579 * [backup-simplify]: Simplify K into K 37.579 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.579 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.579 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.579 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 37.579 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 37.579 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 37.579 * [taylor]: Taking taylor expansion of (* 1 1) in U 37.579 * [taylor]: Taking taylor expansion of 1 in U 37.580 * [backup-simplify]: Simplify 1 into 1 37.580 * [taylor]: Taking taylor expansion of 1 in U 37.580 * [backup-simplify]: Simplify 1 into 1 37.580 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 37.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 37.580 * [taylor]: Taking taylor expansion of 1/2 in U 37.580 * [backup-simplify]: Simplify 1/2 into 1/2 37.580 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 37.580 * [taylor]: Taking taylor expansion of J in U 37.580 * [backup-simplify]: Simplify J into J 37.580 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 37.580 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 37.580 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 37.580 * [taylor]: Taking taylor expansion of -1/2 in U 37.580 * [backup-simplify]: Simplify -1/2 into -1/2 37.580 * [taylor]: Taking taylor expansion of K in U 37.580 * [backup-simplify]: Simplify K into K 37.580 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.580 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.580 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.580 * [taylor]: Taking taylor expansion of U in U 37.580 * [backup-simplify]: Simplify 0 into 0 37.580 * [backup-simplify]: Simplify 1 into 1 37.580 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.580 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.581 * [backup-simplify]: Simplify (- 0) into 0 37.581 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.581 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 37.581 * [backup-simplify]: Simplify (+ 0) into 0 37.582 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 37.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 37.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.583 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 37.584 * [backup-simplify]: Simplify (- 0) into 0 37.584 * [backup-simplify]: Simplify (+ 0 0) into 0 37.585 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 37.585 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 37.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 37.585 * [taylor]: Taking taylor expansion of 1/2 in U 37.585 * [backup-simplify]: Simplify 1/2 into 1/2 37.585 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 37.585 * [taylor]: Taking taylor expansion of J in U 37.585 * [backup-simplify]: Simplify J into J 37.585 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 37.585 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 37.585 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 37.585 * [taylor]: Taking taylor expansion of -1/2 in U 37.585 * [backup-simplify]: Simplify -1/2 into -1/2 37.585 * [taylor]: Taking taylor expansion of K in U 37.585 * [backup-simplify]: Simplify K into K 37.585 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.585 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.585 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.585 * [taylor]: Taking taylor expansion of U in U 37.585 * [backup-simplify]: Simplify 0 into 0 37.585 * [backup-simplify]: Simplify 1 into 1 37.585 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.586 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.586 * [backup-simplify]: Simplify (- 0) into 0 37.586 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.586 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 37.587 * [backup-simplify]: Simplify (+ 0) into 0 37.587 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 37.587 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 37.588 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.589 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 37.589 * [backup-simplify]: Simplify (- 0) into 0 37.589 * [backup-simplify]: Simplify (+ 0 0) into 0 37.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 37.590 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 37.590 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 37.590 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 37.591 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 37.591 * [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))) 37.591 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 37.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.593 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.593 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.594 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.594 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.595 * [backup-simplify]: Simplify (- 0) into 0 37.595 * [backup-simplify]: Simplify (+ 0 0) into 0 37.596 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 37.596 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 37.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 37.598 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.599 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.599 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.600 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.600 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.601 * [backup-simplify]: Simplify (- 0) into 0 37.601 * [backup-simplify]: Simplify (+ 0 0) into 0 37.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 37.602 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 37.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 37.603 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 37.603 * [backup-simplify]: Simplify (+ 0 0) into 0 37.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 37.603 * [taylor]: Taking taylor expansion of J in U 37.603 * [backup-simplify]: Simplify J into J 37.604 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.604 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.604 * [backup-simplify]: Simplify (- 0) into 0 37.604 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.604 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 37.604 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 37.605 * [backup-simplify]: Simplify (* 2 1/2) into 1 37.605 * [taylor]: Taking taylor expansion of 1 in J 37.605 * [backup-simplify]: Simplify 1 into 1 37.605 * [backup-simplify]: Simplify (+ 0) into 0 37.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 37.606 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 37.607 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 37.608 * [backup-simplify]: Simplify (- 0) into 0 37.608 * [backup-simplify]: Simplify (+ 0 0) into 0 37.608 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 37.608 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 37.609 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 37.609 * [taylor]: Taking taylor expansion of 0 in J 37.609 * [backup-simplify]: Simplify 0 into 0 37.609 * [taylor]: Taking taylor expansion of 1 in K 37.609 * [backup-simplify]: Simplify 1 into 1 37.609 * [backup-simplify]: Simplify 1 into 1 37.610 * [backup-simplify]: Simplify (* 1 1) into 1 37.610 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.611 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.611 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.613 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.614 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.614 * [backup-simplify]: Simplify (- 0) into 0 37.614 * [backup-simplify]: Simplify (+ 0 0) into 0 37.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 37.616 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 37.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 37.618 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.619 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.619 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.620 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.621 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.622 * [backup-simplify]: Simplify (- 0) into 0 37.622 * [backup-simplify]: Simplify (+ 0 0) into 0 37.623 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 37.623 * [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 37.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 37.625 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 37.625 * [backup-simplify]: Simplify (+ 1 0) into 1 37.626 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 37.627 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.628 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.628 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.629 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.629 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.630 * [backup-simplify]: Simplify (- 0) into 0 37.630 * [backup-simplify]: Simplify (+ 0 0) into 0 37.631 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 37.631 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 37.632 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 37.632 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 37.632 * [taylor]: Taking taylor expansion of 2 in J 37.632 * [backup-simplify]: Simplify 2 into 2 37.632 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 37.632 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 37.632 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 37.632 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 37.632 * [taylor]: Taking taylor expansion of -1/2 in J 37.632 * [backup-simplify]: Simplify -1/2 into -1/2 37.632 * [taylor]: Taking taylor expansion of K in J 37.632 * [backup-simplify]: Simplify K into K 37.632 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.632 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.633 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.633 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.633 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.633 * [backup-simplify]: Simplify (- 0) into 0 37.633 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.633 * [taylor]: Taking taylor expansion of (pow J 2) in J 37.633 * [taylor]: Taking taylor expansion of J in J 37.633 * [backup-simplify]: Simplify 0 into 0 37.633 * [backup-simplify]: Simplify 1 into 1 37.633 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 37.634 * [backup-simplify]: Simplify (* 1 1) into 1 37.634 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 37.634 * [backup-simplify]: Simplify (+ 0) into 0 37.635 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 37.635 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 37.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.636 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 37.637 * [backup-simplify]: Simplify (- 0) into 0 37.637 * [backup-simplify]: Simplify (+ 0 0) into 0 37.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 37.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 37.639 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 37.639 * [taylor]: Taking taylor expansion of 0 in K 37.639 * [backup-simplify]: Simplify 0 into 0 37.639 * [backup-simplify]: Simplify 0 into 0 37.639 * [taylor]: Taking taylor expansion of 0 in K 37.639 * [backup-simplify]: Simplify 0 into 0 37.640 * [backup-simplify]: Simplify 0 into 0 37.640 * [taylor]: Taking taylor expansion of 0 in K 37.640 * [backup-simplify]: Simplify 0 into 0 37.640 * [backup-simplify]: Simplify 0 into 0 37.640 * [backup-simplify]: Simplify 0 into 0 37.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.643 * [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 37.644 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.644 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.646 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 37.647 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 37.647 * [backup-simplify]: Simplify (- 0) into 0 37.648 * [backup-simplify]: Simplify (+ 0 0) into 0 37.649 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 37.649 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 37.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 37.653 * [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 37.654 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.654 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.655 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 37.656 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 37.657 * [backup-simplify]: Simplify (- 0) into 0 37.657 * [backup-simplify]: Simplify (+ 0 0) into 0 37.658 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 37.659 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 37.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 37.661 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 37.662 * [backup-simplify]: Simplify (+ 0 0) into 0 37.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 37.663 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.664 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.666 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.666 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.667 * [backup-simplify]: Simplify (- 0) into 0 37.667 * [backup-simplify]: Simplify (+ 0 0) into 0 37.668 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 37.668 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 37.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 37.670 * [taylor]: Taking taylor expansion of 0 in J 37.670 * [backup-simplify]: Simplify 0 into 0 37.671 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.671 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.671 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.672 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.673 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.673 * [backup-simplify]: Simplify (- 0) into 0 37.674 * [backup-simplify]: Simplify (+ 0 0) into 0 37.674 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 37.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.678 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 37.678 * [taylor]: Taking taylor expansion of 0 in K 37.678 * [backup-simplify]: Simplify 0 into 0 37.678 * [backup-simplify]: Simplify 0 into 0 37.678 * [taylor]: Taking taylor expansion of 0 in K 37.678 * [backup-simplify]: Simplify 0 into 0 37.678 * [backup-simplify]: Simplify 0 into 0 37.678 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 37.678 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 37.678 * [backup-simplify]: Simplify (/ U (* J (* (cos (/ K 2)) 2))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 37.678 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 37.678 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 37.678 * [taylor]: Taking taylor expansion of 1/2 in K 37.678 * [backup-simplify]: Simplify 1/2 into 1/2 37.678 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 37.678 * [taylor]: Taking taylor expansion of U in K 37.678 * [backup-simplify]: Simplify U into U 37.678 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 37.678 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 37.678 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 37.679 * [taylor]: Taking taylor expansion of 1/2 in K 37.679 * [backup-simplify]: Simplify 1/2 into 1/2 37.679 * [taylor]: Taking taylor expansion of K in K 37.679 * [backup-simplify]: Simplify 0 into 0 37.679 * [backup-simplify]: Simplify 1 into 1 37.679 * [backup-simplify]: Simplify (* 1/2 0) into 0 37.680 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 37.680 * [taylor]: Taking taylor expansion of J in K 37.680 * [backup-simplify]: Simplify J into J 37.680 * [backup-simplify]: Simplify (* 1 J) into J 37.680 * [backup-simplify]: Simplify (/ U J) into (/ U J) 37.680 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 37.680 * [taylor]: Taking taylor expansion of 1/2 in J 37.680 * [backup-simplify]: Simplify 1/2 into 1/2 37.680 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 37.680 * [taylor]: Taking taylor expansion of U in J 37.680 * [backup-simplify]: Simplify U into U 37.680 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 37.680 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 37.680 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 37.680 * [taylor]: Taking taylor expansion of 1/2 in J 37.680 * [backup-simplify]: Simplify 1/2 into 1/2 37.680 * [taylor]: Taking taylor expansion of K in J 37.680 * [backup-simplify]: Simplify K into K 37.680 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.680 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.681 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.681 * [taylor]: Taking taylor expansion of J in J 37.681 * [backup-simplify]: Simplify 0 into 0 37.681 * [backup-simplify]: Simplify 1 into 1 37.681 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.681 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.681 * [backup-simplify]: Simplify (- 0) into 0 37.681 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.681 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 37.682 * [backup-simplify]: Simplify (+ 0) into 0 37.682 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 37.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 37.684 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.684 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 37.684 * [backup-simplify]: Simplify (- 0) into 0 37.685 * [backup-simplify]: Simplify (+ 0 0) into 0 37.685 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 37.685 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 37.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 37.685 * [taylor]: Taking taylor expansion of 1/2 in U 37.685 * [backup-simplify]: Simplify 1/2 into 1/2 37.685 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 37.685 * [taylor]: Taking taylor expansion of U in U 37.686 * [backup-simplify]: Simplify 0 into 0 37.686 * [backup-simplify]: Simplify 1 into 1 37.686 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 37.686 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 37.686 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 37.686 * [taylor]: Taking taylor expansion of 1/2 in U 37.686 * [backup-simplify]: Simplify 1/2 into 1/2 37.686 * [taylor]: Taking taylor expansion of K in U 37.686 * [backup-simplify]: Simplify K into K 37.686 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.686 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.686 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.686 * [taylor]: Taking taylor expansion of J in U 37.686 * [backup-simplify]: Simplify J into J 37.686 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.686 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.688 * [backup-simplify]: Simplify (- 0) into 0 37.688 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.688 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 37.688 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 37.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 37.688 * [taylor]: Taking taylor expansion of 1/2 in U 37.688 * [backup-simplify]: Simplify 1/2 into 1/2 37.688 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 37.688 * [taylor]: Taking taylor expansion of U in U 37.689 * [backup-simplify]: Simplify 0 into 0 37.689 * [backup-simplify]: Simplify 1 into 1 37.689 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 37.689 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 37.689 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 37.689 * [taylor]: Taking taylor expansion of 1/2 in U 37.689 * [backup-simplify]: Simplify 1/2 into 1/2 37.689 * [taylor]: Taking taylor expansion of K in U 37.689 * [backup-simplify]: Simplify K into K 37.689 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.689 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.689 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.689 * [taylor]: Taking taylor expansion of J in U 37.689 * [backup-simplify]: Simplify J into J 37.689 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.689 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.690 * [backup-simplify]: Simplify (- 0) into 0 37.690 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.690 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 37.690 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 37.690 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 37.690 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 37.690 * [taylor]: Taking taylor expansion of 1/2 in J 37.690 * [backup-simplify]: Simplify 1/2 into 1/2 37.690 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 37.690 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 37.690 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 37.690 * [taylor]: Taking taylor expansion of 1/2 in J 37.690 * [backup-simplify]: Simplify 1/2 into 1/2 37.691 * [taylor]: Taking taylor expansion of K in J 37.691 * [backup-simplify]: Simplify K into K 37.691 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.691 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.691 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.691 * [taylor]: Taking taylor expansion of J in J 37.691 * [backup-simplify]: Simplify 0 into 0 37.691 * [backup-simplify]: Simplify 1 into 1 37.691 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.691 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.691 * [backup-simplify]: Simplify (- 0) into 0 37.691 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.692 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 37.692 * [backup-simplify]: Simplify (+ 0) into 0 37.692 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 37.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 37.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.694 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 37.695 * [backup-simplify]: Simplify (- 0) into 0 37.695 * [backup-simplify]: Simplify (+ 0 0) into 0 37.695 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 37.695 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 37.696 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 37.696 * [taylor]: Taking taylor expansion of 1/2 in K 37.696 * [backup-simplify]: Simplify 1/2 into 1/2 37.696 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 37.696 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 37.696 * [taylor]: Taking taylor expansion of 1/2 in K 37.696 * [backup-simplify]: Simplify 1/2 into 1/2 37.696 * [taylor]: Taking taylor expansion of K in K 37.696 * [backup-simplify]: Simplify 0 into 0 37.696 * [backup-simplify]: Simplify 1 into 1 37.696 * [backup-simplify]: Simplify (* 1/2 0) into 0 37.697 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 37.697 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 37.697 * [backup-simplify]: Simplify 1/2 into 1/2 37.698 * [backup-simplify]: Simplify (+ 0) into 0 37.698 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 37.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 37.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.701 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 37.701 * [backup-simplify]: Simplify (- 0) into 0 37.701 * [backup-simplify]: Simplify (+ 0 0) into 0 37.701 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 37.702 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 37.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 37.702 * [taylor]: Taking taylor expansion of 0 in J 37.703 * [backup-simplify]: Simplify 0 into 0 37.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.704 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 37.706 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.706 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.707 * [backup-simplify]: Simplify (- 0) into 0 37.707 * [backup-simplify]: Simplify (+ 0 0) into 0 37.708 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 37.708 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 37.708 * [taylor]: Taking taylor expansion of 0 in K 37.708 * [backup-simplify]: Simplify 0 into 0 37.708 * [backup-simplify]: Simplify 0 into 0 37.709 * [backup-simplify]: Simplify (+ 0) into 0 37.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 37.710 * [backup-simplify]: Simplify 0 into 0 37.710 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.711 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 37.713 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.713 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.714 * [backup-simplify]: Simplify (- 0) into 0 37.714 * [backup-simplify]: Simplify (+ 0 0) into 0 37.714 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 37.715 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 37.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 37.716 * [taylor]: Taking taylor expansion of 0 in J 37.716 * [backup-simplify]: Simplify 0 into 0 37.716 * [taylor]: Taking taylor expansion of 0 in K 37.716 * [backup-simplify]: Simplify 0 into 0 37.716 * [backup-simplify]: Simplify 0 into 0 37.717 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.718 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 37.720 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.721 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.721 * [backup-simplify]: Simplify (- 0) into 0 37.721 * [backup-simplify]: Simplify (+ 0 0) into 0 37.721 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 37.722 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 37.722 * [taylor]: Taking taylor expansion of 0 in K 37.722 * [backup-simplify]: Simplify 0 into 0 37.722 * [backup-simplify]: Simplify 0 into 0 37.722 * [backup-simplify]: Simplify 0 into 0 37.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 37.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 37.723 * [backup-simplify]: Simplify 1/16 into 1/16 37.724 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.724 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 37.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.726 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.726 * [backup-simplify]: Simplify (- 0) into 0 37.727 * [backup-simplify]: Simplify (+ 0 0) into 0 37.727 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 37.727 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 37.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 37.728 * [taylor]: Taking taylor expansion of 0 in J 37.728 * [backup-simplify]: Simplify 0 into 0 37.728 * [taylor]: Taking taylor expansion of 0 in K 37.728 * [backup-simplify]: Simplify 0 into 0 37.728 * [backup-simplify]: Simplify 0 into 0 37.728 * [taylor]: Taking taylor expansion of 0 in K 37.728 * [backup-simplify]: Simplify 0 into 0 37.728 * [backup-simplify]: Simplify 0 into 0 37.730 * [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 37.730 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 37.732 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 37.733 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 37.733 * [backup-simplify]: Simplify (- 0) into 0 37.733 * [backup-simplify]: Simplify (+ 0 0) into 0 37.734 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 37.734 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 37.734 * [taylor]: Taking taylor expansion of 0 in K 37.734 * [backup-simplify]: Simplify 0 into 0 37.734 * [backup-simplify]: Simplify 0 into 0 37.734 * [backup-simplify]: Simplify 0 into 0 37.734 * [backup-simplify]: Simplify 0 into 0 37.735 * [backup-simplify]: Simplify 0 into 0 37.735 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 37.735 * [backup-simplify]: Simplify (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 37.735 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 37.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 37.735 * [taylor]: Taking taylor expansion of 1/2 in K 37.735 * [backup-simplify]: Simplify 1/2 into 1/2 37.735 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 37.735 * [taylor]: Taking taylor expansion of J in K 37.735 * [backup-simplify]: Simplify J into J 37.735 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 37.735 * [taylor]: Taking taylor expansion of U in K 37.735 * [backup-simplify]: Simplify U into U 37.735 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 37.735 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 37.735 * [taylor]: Taking taylor expansion of 1/2 in K 37.735 * [backup-simplify]: Simplify 1/2 into 1/2 37.735 * [taylor]: Taking taylor expansion of K in K 37.735 * [backup-simplify]: Simplify 0 into 0 37.735 * [backup-simplify]: Simplify 1 into 1 37.735 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 37.735 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.736 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 37.736 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 37.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 37.736 * [taylor]: Taking taylor expansion of 1/2 in J 37.736 * [backup-simplify]: Simplify 1/2 into 1/2 37.736 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 37.736 * [taylor]: Taking taylor expansion of J in J 37.736 * [backup-simplify]: Simplify 0 into 0 37.736 * [backup-simplify]: Simplify 1 into 1 37.736 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 37.736 * [taylor]: Taking taylor expansion of U in J 37.736 * [backup-simplify]: Simplify U into U 37.736 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 37.736 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 37.736 * [taylor]: Taking taylor expansion of 1/2 in J 37.736 * [backup-simplify]: Simplify 1/2 into 1/2 37.736 * [taylor]: Taking taylor expansion of K in J 37.736 * [backup-simplify]: Simplify K into K 37.736 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.736 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.736 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.736 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.736 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.736 * [backup-simplify]: Simplify (- 0) into 0 37.736 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.736 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 37.737 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 37.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 37.737 * [taylor]: Taking taylor expansion of 1/2 in U 37.737 * [backup-simplify]: Simplify 1/2 into 1/2 37.737 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 37.737 * [taylor]: Taking taylor expansion of J in U 37.737 * [backup-simplify]: Simplify J into J 37.737 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 37.737 * [taylor]: Taking taylor expansion of U in U 37.737 * [backup-simplify]: Simplify 0 into 0 37.737 * [backup-simplify]: Simplify 1 into 1 37.737 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 37.737 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 37.737 * [taylor]: Taking taylor expansion of 1/2 in U 37.737 * [backup-simplify]: Simplify 1/2 into 1/2 37.737 * [taylor]: Taking taylor expansion of K in U 37.737 * [backup-simplify]: Simplify K into K 37.737 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.737 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.737 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.737 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.737 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.737 * [backup-simplify]: Simplify (- 0) into 0 37.737 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.737 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 37.738 * [backup-simplify]: Simplify (+ 0) into 0 37.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 37.738 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 37.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.739 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 37.739 * [backup-simplify]: Simplify (- 0) into 0 37.739 * [backup-simplify]: Simplify (+ 0 0) into 0 37.740 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 37.740 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 37.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 37.740 * [taylor]: Taking taylor expansion of 1/2 in U 37.740 * [backup-simplify]: Simplify 1/2 into 1/2 37.740 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 37.740 * [taylor]: Taking taylor expansion of J in U 37.740 * [backup-simplify]: Simplify J into J 37.740 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 37.740 * [taylor]: Taking taylor expansion of U in U 37.740 * [backup-simplify]: Simplify 0 into 0 37.740 * [backup-simplify]: Simplify 1 into 1 37.740 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 37.740 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 37.740 * [taylor]: Taking taylor expansion of 1/2 in U 37.740 * [backup-simplify]: Simplify 1/2 into 1/2 37.740 * [taylor]: Taking taylor expansion of K in U 37.740 * [backup-simplify]: Simplify K into K 37.740 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.740 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.740 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.740 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.740 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.741 * [backup-simplify]: Simplify (- 0) into 0 37.741 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.741 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 37.741 * [backup-simplify]: Simplify (+ 0) into 0 37.741 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 37.741 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 37.742 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.742 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 37.742 * [backup-simplify]: Simplify (- 0) into 0 37.743 * [backup-simplify]: Simplify (+ 0 0) into 0 37.743 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 37.743 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 37.743 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 37.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 37.743 * [taylor]: Taking taylor expansion of 1/2 in J 37.743 * [backup-simplify]: Simplify 1/2 into 1/2 37.743 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 37.743 * [taylor]: Taking taylor expansion of J in J 37.743 * [backup-simplify]: Simplify 0 into 0 37.743 * [backup-simplify]: Simplify 1 into 1 37.743 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 37.743 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 37.743 * [taylor]: Taking taylor expansion of 1/2 in J 37.743 * [backup-simplify]: Simplify 1/2 into 1/2 37.743 * [taylor]: Taking taylor expansion of K in J 37.743 * [backup-simplify]: Simplify K into K 37.743 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.743 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.743 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.743 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.743 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.744 * [backup-simplify]: Simplify (- 0) into 0 37.744 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.744 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 37.744 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 37.744 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 37.744 * [taylor]: Taking taylor expansion of 1/2 in K 37.744 * [backup-simplify]: Simplify 1/2 into 1/2 37.744 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 37.744 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 37.744 * [taylor]: Taking taylor expansion of 1/2 in K 37.744 * [backup-simplify]: Simplify 1/2 into 1/2 37.744 * [taylor]: Taking taylor expansion of K in K 37.744 * [backup-simplify]: Simplify 0 into 0 37.744 * [backup-simplify]: Simplify 1 into 1 37.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 37.744 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.744 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 37.744 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 37.745 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.745 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.746 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.746 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.747 * [backup-simplify]: Simplify (- 0) into 0 37.747 * [backup-simplify]: Simplify (+ 0 0) into 0 37.747 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 37.748 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 37.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 37.748 * [taylor]: Taking taylor expansion of 0 in J 37.748 * [backup-simplify]: Simplify 0 into 0 37.748 * [taylor]: Taking taylor expansion of 0 in K 37.748 * [backup-simplify]: Simplify 0 into 0 37.748 * [backup-simplify]: Simplify 0 into 0 37.748 * [backup-simplify]: Simplify (+ 0) into 0 37.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 37.749 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 37.749 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.750 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 37.750 * [backup-simplify]: Simplify (- 0) into 0 37.750 * [backup-simplify]: Simplify (+ 0 0) into 0 37.750 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 37.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 37.750 * [taylor]: Taking taylor expansion of 0 in K 37.751 * [backup-simplify]: Simplify 0 into 0 37.751 * [backup-simplify]: Simplify 0 into 0 37.751 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 37.751 * [backup-simplify]: Simplify 0 into 0 37.751 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.752 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.753 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.755 * [backup-simplify]: Simplify (- 0) into 0 37.755 * [backup-simplify]: Simplify (+ 0 0) into 0 37.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 37.757 * [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 37.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 37.758 * [taylor]: Taking taylor expansion of 0 in J 37.758 * [backup-simplify]: Simplify 0 into 0 37.758 * [taylor]: Taking taylor expansion of 0 in K 37.758 * [backup-simplify]: Simplify 0 into 0 37.758 * [backup-simplify]: Simplify 0 into 0 37.758 * [taylor]: Taking taylor expansion of 0 in K 37.758 * [backup-simplify]: Simplify 0 into 0 37.758 * [backup-simplify]: Simplify 0 into 0 37.759 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.760 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.760 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.761 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.761 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.762 * [backup-simplify]: Simplify (- 0) into 0 37.762 * [backup-simplify]: Simplify (+ 0 0) into 0 37.762 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 37.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 37.763 * [taylor]: Taking taylor expansion of 0 in K 37.763 * [backup-simplify]: Simplify 0 into 0 37.763 * [backup-simplify]: Simplify 0 into 0 37.764 * [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))) 37.764 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 37.764 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 37.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 37.764 * [taylor]: Taking taylor expansion of 1/2 in K 37.764 * [backup-simplify]: Simplify 1/2 into 1/2 37.764 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 37.764 * [taylor]: Taking taylor expansion of J in K 37.764 * [backup-simplify]: Simplify J into J 37.764 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 37.764 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 37.764 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 37.764 * [taylor]: Taking taylor expansion of -1/2 in K 37.764 * [backup-simplify]: Simplify -1/2 into -1/2 37.764 * [taylor]: Taking taylor expansion of K in K 37.764 * [backup-simplify]: Simplify 0 into 0 37.764 * [backup-simplify]: Simplify 1 into 1 37.765 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 37.765 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.765 * [taylor]: Taking taylor expansion of U in K 37.765 * [backup-simplify]: Simplify U into U 37.765 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 37.765 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 37.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 37.765 * [taylor]: Taking taylor expansion of 1/2 in J 37.765 * [backup-simplify]: Simplify 1/2 into 1/2 37.765 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 37.765 * [taylor]: Taking taylor expansion of J in J 37.765 * [backup-simplify]: Simplify 0 into 0 37.765 * [backup-simplify]: Simplify 1 into 1 37.765 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 37.765 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 37.765 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 37.765 * [taylor]: Taking taylor expansion of -1/2 in J 37.765 * [backup-simplify]: Simplify -1/2 into -1/2 37.765 * [taylor]: Taking taylor expansion of K in J 37.765 * [backup-simplify]: Simplify K into K 37.765 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.766 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.766 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.766 * [taylor]: Taking taylor expansion of U in J 37.766 * [backup-simplify]: Simplify U into U 37.766 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.766 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.766 * [backup-simplify]: Simplify (- 0) into 0 37.766 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.766 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 37.767 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 37.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 37.767 * [taylor]: Taking taylor expansion of 1/2 in U 37.767 * [backup-simplify]: Simplify 1/2 into 1/2 37.767 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 37.767 * [taylor]: Taking taylor expansion of J in U 37.767 * [backup-simplify]: Simplify J into J 37.767 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 37.767 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 37.767 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 37.767 * [taylor]: Taking taylor expansion of -1/2 in U 37.767 * [backup-simplify]: Simplify -1/2 into -1/2 37.767 * [taylor]: Taking taylor expansion of K in U 37.767 * [backup-simplify]: Simplify K into K 37.767 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.767 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.767 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.767 * [taylor]: Taking taylor expansion of U in U 37.767 * [backup-simplify]: Simplify 0 into 0 37.767 * [backup-simplify]: Simplify 1 into 1 37.767 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.767 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.768 * [backup-simplify]: Simplify (- 0) into 0 37.768 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.768 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 37.768 * [backup-simplify]: Simplify (+ 0) into 0 37.769 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 37.769 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 37.770 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.770 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 37.771 * [backup-simplify]: Simplify (- 0) into 0 37.771 * [backup-simplify]: Simplify (+ 0 0) into 0 37.772 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 37.772 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 37.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 37.772 * [taylor]: Taking taylor expansion of 1/2 in U 37.772 * [backup-simplify]: Simplify 1/2 into 1/2 37.772 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 37.772 * [taylor]: Taking taylor expansion of J in U 37.772 * [backup-simplify]: Simplify J into J 37.772 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 37.772 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 37.772 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 37.772 * [taylor]: Taking taylor expansion of -1/2 in U 37.772 * [backup-simplify]: Simplify -1/2 into -1/2 37.772 * [taylor]: Taking taylor expansion of K in U 37.772 * [backup-simplify]: Simplify K into K 37.772 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.772 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.772 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.772 * [taylor]: Taking taylor expansion of U in U 37.772 * [backup-simplify]: Simplify 0 into 0 37.772 * [backup-simplify]: Simplify 1 into 1 37.772 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.772 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.773 * [backup-simplify]: Simplify (- 0) into 0 37.773 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.773 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 37.773 * [backup-simplify]: Simplify (+ 0) into 0 37.774 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 37.774 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 37.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.775 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 37.776 * [backup-simplify]: Simplify (- 0) into 0 37.776 * [backup-simplify]: Simplify (+ 0 0) into 0 37.777 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 37.777 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 37.777 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 37.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 37.777 * [taylor]: Taking taylor expansion of 1/2 in J 37.777 * [backup-simplify]: Simplify 1/2 into 1/2 37.777 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 37.777 * [taylor]: Taking taylor expansion of J in J 37.777 * [backup-simplify]: Simplify 0 into 0 37.777 * [backup-simplify]: Simplify 1 into 1 37.777 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 37.777 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 37.777 * [taylor]: Taking taylor expansion of -1/2 in J 37.777 * [backup-simplify]: Simplify -1/2 into -1/2 37.777 * [taylor]: Taking taylor expansion of K in J 37.777 * [backup-simplify]: Simplify K into K 37.777 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.777 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.778 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.778 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.778 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.778 * [backup-simplify]: Simplify (- 0) into 0 37.778 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.778 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 37.778 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 37.778 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 37.778 * [taylor]: Taking taylor expansion of 1/2 in K 37.778 * [backup-simplify]: Simplify 1/2 into 1/2 37.778 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 37.779 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 37.779 * [taylor]: Taking taylor expansion of -1/2 in K 37.779 * [backup-simplify]: Simplify -1/2 into -1/2 37.779 * [taylor]: Taking taylor expansion of K in K 37.779 * [backup-simplify]: Simplify 0 into 0 37.779 * [backup-simplify]: Simplify 1 into 1 37.779 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 37.779 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.779 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 37.779 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 37.780 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.781 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.781 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.782 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.783 * [backup-simplify]: Simplify (- 0) into 0 37.783 * [backup-simplify]: Simplify (+ 0 0) into 0 37.784 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 37.784 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 37.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 37.785 * [taylor]: Taking taylor expansion of 0 in J 37.785 * [backup-simplify]: Simplify 0 into 0 37.785 * [taylor]: Taking taylor expansion of 0 in K 37.785 * [backup-simplify]: Simplify 0 into 0 37.785 * [backup-simplify]: Simplify 0 into 0 37.786 * [backup-simplify]: Simplify (+ 0) into 0 37.786 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 37.786 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 37.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 37.788 * [backup-simplify]: Simplify (- 0) into 0 37.789 * [backup-simplify]: Simplify (+ 0 0) into 0 37.789 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 37.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 37.790 * [taylor]: Taking taylor expansion of 0 in K 37.790 * [backup-simplify]: Simplify 0 into 0 37.790 * [backup-simplify]: Simplify 0 into 0 37.790 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 37.790 * [backup-simplify]: Simplify 0 into 0 37.791 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.792 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.792 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.794 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.794 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.795 * [backup-simplify]: Simplify (- 0) into 0 37.795 * [backup-simplify]: Simplify (+ 0 0) into 0 37.796 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 37.796 * [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 37.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 37.797 * [taylor]: Taking taylor expansion of 0 in J 37.797 * [backup-simplify]: Simplify 0 into 0 37.797 * [taylor]: Taking taylor expansion of 0 in K 37.797 * [backup-simplify]: Simplify 0 into 0 37.797 * [backup-simplify]: Simplify 0 into 0 37.797 * [taylor]: Taking taylor expansion of 0 in K 37.797 * [backup-simplify]: Simplify 0 into 0 37.797 * [backup-simplify]: Simplify 0 into 0 37.798 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.799 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.799 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.800 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.801 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.801 * [backup-simplify]: Simplify (- 0) into 0 37.801 * [backup-simplify]: Simplify (+ 0 0) into 0 37.802 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 37.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 37.803 * [taylor]: Taking taylor expansion of 0 in K 37.803 * [backup-simplify]: Simplify 0 into 0 37.803 * [backup-simplify]: Simplify 0 into 0 37.803 * [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))) 37.803 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 37.803 * [backup-simplify]: Simplify (* J (* (cos (/ K 2)) 2)) into (* 2 (* (cos (* 1/2 K)) J)) 37.803 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 37.803 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 37.803 * [taylor]: Taking taylor expansion of 2 in K 37.803 * [backup-simplify]: Simplify 2 into 2 37.803 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 37.803 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 37.803 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 37.803 * [taylor]: Taking taylor expansion of 1/2 in K 37.804 * [backup-simplify]: Simplify 1/2 into 1/2 37.804 * [taylor]: Taking taylor expansion of K in K 37.804 * [backup-simplify]: Simplify 0 into 0 37.804 * [backup-simplify]: Simplify 1 into 1 37.804 * [backup-simplify]: Simplify (* 1/2 0) into 0 37.805 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 37.805 * [taylor]: Taking taylor expansion of J in K 37.805 * [backup-simplify]: Simplify J into J 37.805 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 37.805 * [taylor]: Taking taylor expansion of 2 in J 37.805 * [backup-simplify]: Simplify 2 into 2 37.805 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 37.805 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 37.805 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 37.805 * [taylor]: Taking taylor expansion of 1/2 in J 37.805 * [backup-simplify]: Simplify 1/2 into 1/2 37.805 * [taylor]: Taking taylor expansion of K in J 37.805 * [backup-simplify]: Simplify K into K 37.805 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.805 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.805 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.805 * [taylor]: Taking taylor expansion of J in J 37.805 * [backup-simplify]: Simplify 0 into 0 37.805 * [backup-simplify]: Simplify 1 into 1 37.805 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 37.805 * [taylor]: Taking taylor expansion of 2 in J 37.805 * [backup-simplify]: Simplify 2 into 2 37.805 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 37.806 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 37.806 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 37.806 * [taylor]: Taking taylor expansion of 1/2 in J 37.806 * [backup-simplify]: Simplify 1/2 into 1/2 37.806 * [taylor]: Taking taylor expansion of K in J 37.806 * [backup-simplify]: Simplify K into K 37.806 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.806 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.806 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.806 * [taylor]: Taking taylor expansion of J in J 37.806 * [backup-simplify]: Simplify 0 into 0 37.806 * [backup-simplify]: Simplify 1 into 1 37.806 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 37.806 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 37.807 * [backup-simplify]: Simplify (- 0) into 0 37.807 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 37.807 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 37.807 * [backup-simplify]: Simplify (* 2 0) into 0 37.807 * [taylor]: Taking taylor expansion of 0 in K 37.807 * [backup-simplify]: Simplify 0 into 0 37.807 * [backup-simplify]: Simplify 0 into 0 37.808 * [backup-simplify]: Simplify (+ 0) into 0 37.808 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 37.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 37.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.810 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 37.810 * [backup-simplify]: Simplify (- 0) into 0 37.811 * [backup-simplify]: Simplify (+ 0 0) into 0 37.811 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 37.812 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 37.812 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 37.812 * [taylor]: Taking taylor expansion of 2 in K 37.812 * [backup-simplify]: Simplify 2 into 2 37.812 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 37.812 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 37.812 * [taylor]: Taking taylor expansion of 1/2 in K 37.812 * [backup-simplify]: Simplify 1/2 into 1/2 37.812 * [taylor]: Taking taylor expansion of K in K 37.812 * [backup-simplify]: Simplify 0 into 0 37.812 * [backup-simplify]: Simplify 1 into 1 37.812 * [backup-simplify]: Simplify (* 1/2 0) into 0 37.813 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 37.814 * [backup-simplify]: Simplify (* 2 1) into 2 37.814 * [backup-simplify]: Simplify 2 into 2 37.814 * [backup-simplify]: Simplify 0 into 0 37.814 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.815 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 37.818 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.819 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.819 * [backup-simplify]: Simplify (- 0) into 0 37.820 * [backup-simplify]: Simplify (+ 0 0) into 0 37.820 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 37.821 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 37.821 * [taylor]: Taking taylor expansion of 0 in K 37.821 * [backup-simplify]: Simplify 0 into 0 37.821 * [backup-simplify]: Simplify 0 into 0 37.822 * [backup-simplify]: Simplify (+ 0) into 0 37.822 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 37.823 * [backup-simplify]: Simplify 0 into 0 37.823 * [backup-simplify]: Simplify 0 into 0 37.824 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.824 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 37.827 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.828 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.828 * [backup-simplify]: Simplify (- 0) into 0 37.828 * [backup-simplify]: Simplify (+ 0 0) into 0 37.829 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 37.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 37.831 * [taylor]: Taking taylor expansion of 0 in K 37.831 * [backup-simplify]: Simplify 0 into 0 37.831 * [backup-simplify]: Simplify 0 into 0 37.831 * [backup-simplify]: Simplify 0 into 0 37.831 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 37.831 * [backup-simplify]: Simplify (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)) into (* 2 (/ (cos (/ 1/2 K)) J)) 37.831 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 37.831 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 37.831 * [taylor]: Taking taylor expansion of 2 in K 37.831 * [backup-simplify]: Simplify 2 into 2 37.831 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 37.831 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 37.831 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 37.831 * [taylor]: Taking taylor expansion of 1/2 in K 37.831 * [backup-simplify]: Simplify 1/2 into 1/2 37.831 * [taylor]: Taking taylor expansion of K in K 37.832 * [backup-simplify]: Simplify 0 into 0 37.832 * [backup-simplify]: Simplify 1 into 1 37.832 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 37.832 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.832 * [taylor]: Taking taylor expansion of J in K 37.832 * [backup-simplify]: Simplify J into J 37.832 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 37.832 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 37.832 * [taylor]: Taking taylor expansion of 2 in J 37.832 * [backup-simplify]: Simplify 2 into 2 37.832 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 37.832 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 37.832 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 37.832 * [taylor]: Taking taylor expansion of 1/2 in J 37.832 * [backup-simplify]: Simplify 1/2 into 1/2 37.832 * [taylor]: Taking taylor expansion of K in J 37.832 * [backup-simplify]: Simplify K into K 37.833 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.833 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.833 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.833 * [taylor]: Taking taylor expansion of J in J 37.833 * [backup-simplify]: Simplify 0 into 0 37.833 * [backup-simplify]: Simplify 1 into 1 37.833 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.833 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.833 * [backup-simplify]: Simplify (- 0) into 0 37.833 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.833 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.834 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 37.834 * [taylor]: Taking taylor expansion of 2 in J 37.834 * [backup-simplify]: Simplify 2 into 2 37.834 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 37.834 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 37.834 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 37.834 * [taylor]: Taking taylor expansion of 1/2 in J 37.834 * [backup-simplify]: Simplify 1/2 into 1/2 37.834 * [taylor]: Taking taylor expansion of K in J 37.834 * [backup-simplify]: Simplify K into K 37.834 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.834 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.834 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.834 * [taylor]: Taking taylor expansion of J in J 37.834 * [backup-simplify]: Simplify 0 into 0 37.834 * [backup-simplify]: Simplify 1 into 1 37.834 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.834 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.835 * [backup-simplify]: Simplify (- 0) into 0 37.835 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.835 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.835 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 37.835 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 37.835 * [taylor]: Taking taylor expansion of 2 in K 37.835 * [backup-simplify]: Simplify 2 into 2 37.835 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 37.835 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 37.835 * [taylor]: Taking taylor expansion of 1/2 in K 37.835 * [backup-simplify]: Simplify 1/2 into 1/2 37.835 * [taylor]: Taking taylor expansion of K in K 37.835 * [backup-simplify]: Simplify 0 into 0 37.835 * [backup-simplify]: Simplify 1 into 1 37.836 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 37.836 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.836 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 37.836 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 37.836 * [backup-simplify]: Simplify (+ 0) into 0 37.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 37.837 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 37.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.838 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 37.838 * [backup-simplify]: Simplify (- 0) into 0 37.839 * [backup-simplify]: Simplify (+ 0 0) into 0 37.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 37.840 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 37.840 * [taylor]: Taking taylor expansion of 0 in K 37.840 * [backup-simplify]: Simplify 0 into 0 37.840 * [backup-simplify]: Simplify 0 into 0 37.840 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 37.840 * [backup-simplify]: Simplify 0 into 0 37.841 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.841 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.841 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.842 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.842 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.842 * [backup-simplify]: Simplify (- 0) into 0 37.843 * [backup-simplify]: Simplify (+ 0 0) into 0 37.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 37.844 * [taylor]: Taking taylor expansion of 0 in K 37.844 * [backup-simplify]: Simplify 0 into 0 37.844 * [backup-simplify]: Simplify 0 into 0 37.844 * [backup-simplify]: Simplify 0 into 0 37.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 37.845 * [backup-simplify]: Simplify 0 into 0 37.845 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.846 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.846 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.847 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.847 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.847 * [backup-simplify]: Simplify (- 0) into 0 37.848 * [backup-simplify]: Simplify (+ 0 0) into 0 37.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 37.849 * [taylor]: Taking taylor expansion of 0 in K 37.850 * [backup-simplify]: Simplify 0 into 0 37.850 * [backup-simplify]: Simplify 0 into 0 37.850 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 37.850 * [backup-simplify]: Simplify (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)) into (* -2 (/ (cos (/ -1/2 K)) J)) 37.850 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 37.850 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 37.850 * [taylor]: Taking taylor expansion of -2 in K 37.850 * [backup-simplify]: Simplify -2 into -2 37.850 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 37.850 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 37.850 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 37.850 * [taylor]: Taking taylor expansion of -1/2 in K 37.850 * [backup-simplify]: Simplify -1/2 into -1/2 37.850 * [taylor]: Taking taylor expansion of K in K 37.850 * [backup-simplify]: Simplify 0 into 0 37.850 * [backup-simplify]: Simplify 1 into 1 37.850 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 37.850 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.850 * [taylor]: Taking taylor expansion of J in K 37.850 * [backup-simplify]: Simplify J into J 37.850 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 37.850 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 37.850 * [taylor]: Taking taylor expansion of -2 in J 37.850 * [backup-simplify]: Simplify -2 into -2 37.850 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 37.850 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 37.851 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 37.851 * [taylor]: Taking taylor expansion of -1/2 in J 37.851 * [backup-simplify]: Simplify -1/2 into -1/2 37.851 * [taylor]: Taking taylor expansion of K in J 37.851 * [backup-simplify]: Simplify K into K 37.851 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.851 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.851 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.851 * [taylor]: Taking taylor expansion of J in J 37.851 * [backup-simplify]: Simplify 0 into 0 37.851 * [backup-simplify]: Simplify 1 into 1 37.851 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.851 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.851 * [backup-simplify]: Simplify (- 0) into 0 37.851 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.851 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.851 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 37.851 * [taylor]: Taking taylor expansion of -2 in J 37.851 * [backup-simplify]: Simplify -2 into -2 37.851 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 37.851 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 37.851 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 37.851 * [taylor]: Taking taylor expansion of -1/2 in J 37.851 * [backup-simplify]: Simplify -1/2 into -1/2 37.851 * [taylor]: Taking taylor expansion of K in J 37.851 * [backup-simplify]: Simplify K into K 37.851 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.851 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.851 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.851 * [taylor]: Taking taylor expansion of J in J 37.851 * [backup-simplify]: Simplify 0 into 0 37.852 * [backup-simplify]: Simplify 1 into 1 37.852 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.852 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.852 * [backup-simplify]: Simplify (- 0) into 0 37.852 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.852 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.852 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 37.852 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 37.852 * [taylor]: Taking taylor expansion of -2 in K 37.852 * [backup-simplify]: Simplify -2 into -2 37.852 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 37.852 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 37.852 * [taylor]: Taking taylor expansion of -1/2 in K 37.852 * [backup-simplify]: Simplify -1/2 into -1/2 37.852 * [taylor]: Taking taylor expansion of K in K 37.852 * [backup-simplify]: Simplify 0 into 0 37.852 * [backup-simplify]: Simplify 1 into 1 37.852 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 37.853 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.853 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 37.853 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 37.853 * [backup-simplify]: Simplify (+ 0) into 0 37.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 37.853 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 37.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.854 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 37.854 * [backup-simplify]: Simplify (- 0) into 0 37.855 * [backup-simplify]: Simplify (+ 0 0) into 0 37.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 37.856 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 37.856 * [taylor]: Taking taylor expansion of 0 in K 37.856 * [backup-simplify]: Simplify 0 into 0 37.856 * [backup-simplify]: Simplify 0 into 0 37.856 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 37.856 * [backup-simplify]: Simplify 0 into 0 37.857 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.857 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.857 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.858 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.858 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.858 * [backup-simplify]: Simplify (- 0) into 0 37.858 * [backup-simplify]: Simplify (+ 0 0) into 0 37.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.860 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 37.860 * [taylor]: Taking taylor expansion of 0 in K 37.860 * [backup-simplify]: Simplify 0 into 0 37.860 * [backup-simplify]: Simplify 0 into 0 37.860 * [backup-simplify]: Simplify 0 into 0 37.861 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 37.861 * [backup-simplify]: Simplify 0 into 0 37.861 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.862 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.862 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.863 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.863 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.863 * [backup-simplify]: Simplify (- 0) into 0 37.864 * [backup-simplify]: Simplify (+ 0 0) into 0 37.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.866 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 37.866 * [taylor]: Taking taylor expansion of 0 in K 37.866 * [backup-simplify]: Simplify 0 into 0 37.866 * [backup-simplify]: Simplify 0 into 0 37.866 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 37.866 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 37.866 * [backup-simplify]: Simplify (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) J)) 37.866 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 37.866 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 37.866 * [taylor]: Taking taylor expansion of -2 in J 37.866 * [backup-simplify]: Simplify -2 into -2 37.866 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 37.866 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 37.866 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 37.866 * [taylor]: Taking taylor expansion of 1/2 in J 37.866 * [backup-simplify]: Simplify 1/2 into 1/2 37.866 * [taylor]: Taking taylor expansion of K in J 37.866 * [backup-simplify]: Simplify K into K 37.866 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 37.866 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 37.866 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 37.866 * [taylor]: Taking taylor expansion of J in J 37.866 * [backup-simplify]: Simplify 0 into 0 37.866 * [backup-simplify]: Simplify 1 into 1 37.866 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 37.866 * [taylor]: Taking taylor expansion of -2 in K 37.866 * [backup-simplify]: Simplify -2 into -2 37.866 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 37.866 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 37.866 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 37.866 * [taylor]: Taking taylor expansion of 1/2 in K 37.866 * [backup-simplify]: Simplify 1/2 into 1/2 37.866 * [taylor]: Taking taylor expansion of K in K 37.866 * [backup-simplify]: Simplify 0 into 0 37.866 * [backup-simplify]: Simplify 1 into 1 37.867 * [backup-simplify]: Simplify (* 1/2 0) into 0 37.867 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 37.867 * [taylor]: Taking taylor expansion of J in K 37.867 * [backup-simplify]: Simplify J into J 37.867 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 37.867 * [taylor]: Taking taylor expansion of -2 in K 37.867 * [backup-simplify]: Simplify -2 into -2 37.867 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 37.867 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 37.867 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 37.867 * [taylor]: Taking taylor expansion of 1/2 in K 37.867 * [backup-simplify]: Simplify 1/2 into 1/2 37.867 * [taylor]: Taking taylor expansion of K in K 37.867 * [backup-simplify]: Simplify 0 into 0 37.867 * [backup-simplify]: Simplify 1 into 1 37.868 * [backup-simplify]: Simplify (* 1/2 0) into 0 37.868 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 37.868 * [taylor]: Taking taylor expansion of J in K 37.868 * [backup-simplify]: Simplify J into J 37.868 * [backup-simplify]: Simplify (* 1 J) into J 37.868 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 37.868 * [taylor]: Taking taylor expansion of (* -2 J) in J 37.868 * [taylor]: Taking taylor expansion of -2 in J 37.868 * [backup-simplify]: Simplify -2 into -2 37.868 * [taylor]: Taking taylor expansion of J in J 37.868 * [backup-simplify]: Simplify 0 into 0 37.868 * [backup-simplify]: Simplify 1 into 1 37.869 * [backup-simplify]: Simplify (* -2 0) into 0 37.869 * [backup-simplify]: Simplify 0 into 0 37.869 * [backup-simplify]: Simplify (+ 0) into 0 37.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 37.869 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 37.869 * [taylor]: Taking taylor expansion of 0 in J 37.870 * [backup-simplify]: Simplify 0 into 0 37.870 * [backup-simplify]: Simplify 0 into 0 37.870 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 37.870 * [backup-simplify]: Simplify -2 into -2 37.871 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 37.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 37.872 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 37.872 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 37.872 * [taylor]: Taking taylor expansion of 1/4 in J 37.872 * [backup-simplify]: Simplify 1/4 into 1/4 37.872 * [taylor]: Taking taylor expansion of J in J 37.872 * [backup-simplify]: Simplify 0 into 0 37.872 * [backup-simplify]: Simplify 1 into 1 37.873 * [backup-simplify]: Simplify (* 1/4 0) into 0 37.873 * [backup-simplify]: Simplify 0 into 0 37.873 * [backup-simplify]: Simplify 0 into 0 37.874 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 37.874 * [backup-simplify]: Simplify 0 into 0 37.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 37.876 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 37.878 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 37.878 * [taylor]: Taking taylor expansion of 0 in J 37.878 * [backup-simplify]: Simplify 0 into 0 37.878 * [backup-simplify]: Simplify 0 into 0 37.879 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 37.879 * [backup-simplify]: Simplify 1/4 into 1/4 37.879 * [backup-simplify]: Simplify 0 into 0 37.880 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 37.880 * [backup-simplify]: Simplify 0 into 0 37.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 37.882 * [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 37.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 37.884 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 37.884 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 37.884 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 37.884 * [taylor]: Taking taylor expansion of 1/192 in J 37.884 * [backup-simplify]: Simplify 1/192 into 1/192 37.884 * [taylor]: Taking taylor expansion of J in J 37.884 * [backup-simplify]: Simplify 0 into 0 37.884 * [backup-simplify]: Simplify 1 into 1 37.884 * [backup-simplify]: Simplify (* 1/192 0) into 0 37.884 * [backup-simplify]: Simplify (- 0) into 0 37.885 * [backup-simplify]: Simplify 0 into 0 37.885 * [backup-simplify]: Simplify 0 into 0 37.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 37.885 * [backup-simplify]: Simplify 0 into 0 37.886 * [backup-simplify]: Simplify 0 into 0 37.886 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 37.886 * [backup-simplify]: Simplify (* (sqrt (cos (/ (/ 1 K) 2))) (* (sqrt (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J)))) into (* -2 (/ (cos (/ 1/2 K)) J)) 37.886 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 37.886 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 37.886 * [taylor]: Taking taylor expansion of -2 in J 37.886 * [backup-simplify]: Simplify -2 into -2 37.886 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 37.886 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 37.886 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 37.886 * [taylor]: Taking taylor expansion of 1/2 in J 37.886 * [backup-simplify]: Simplify 1/2 into 1/2 37.886 * [taylor]: Taking taylor expansion of K in J 37.886 * [backup-simplify]: Simplify K into K 37.886 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.886 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.886 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.886 * [taylor]: Taking taylor expansion of J in J 37.886 * [backup-simplify]: Simplify 0 into 0 37.886 * [backup-simplify]: Simplify 1 into 1 37.886 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.886 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.887 * [backup-simplify]: Simplify (- 0) into 0 37.887 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.887 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.887 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 37.887 * [taylor]: Taking taylor expansion of -2 in K 37.887 * [backup-simplify]: Simplify -2 into -2 37.887 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 37.887 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 37.887 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 37.887 * [taylor]: Taking taylor expansion of 1/2 in K 37.887 * [backup-simplify]: Simplify 1/2 into 1/2 37.887 * [taylor]: Taking taylor expansion of K in K 37.887 * [backup-simplify]: Simplify 0 into 0 37.887 * [backup-simplify]: Simplify 1 into 1 37.887 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 37.887 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.887 * [taylor]: Taking taylor expansion of J in K 37.887 * [backup-simplify]: Simplify J into J 37.887 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 37.887 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 37.887 * [taylor]: Taking taylor expansion of -2 in K 37.887 * [backup-simplify]: Simplify -2 into -2 37.887 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 37.887 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 37.887 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 37.887 * [taylor]: Taking taylor expansion of 1/2 in K 37.888 * [backup-simplify]: Simplify 1/2 into 1/2 37.888 * [taylor]: Taking taylor expansion of K in K 37.888 * [backup-simplify]: Simplify 0 into 0 37.888 * [backup-simplify]: Simplify 1 into 1 37.888 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 37.888 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.888 * [taylor]: Taking taylor expansion of J in K 37.888 * [backup-simplify]: Simplify J into J 37.888 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 37.888 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 37.888 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 37.888 * [taylor]: Taking taylor expansion of -2 in J 37.888 * [backup-simplify]: Simplify -2 into -2 37.888 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 37.888 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 37.888 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 37.888 * [taylor]: Taking taylor expansion of 1/2 in J 37.888 * [backup-simplify]: Simplify 1/2 into 1/2 37.888 * [taylor]: Taking taylor expansion of K in J 37.888 * [backup-simplify]: Simplify K into K 37.888 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 37.888 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 37.889 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 37.889 * [taylor]: Taking taylor expansion of J in J 37.889 * [backup-simplify]: Simplify 0 into 0 37.889 * [backup-simplify]: Simplify 1 into 1 37.889 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.889 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 37.889 * [backup-simplify]: Simplify (- 0) into 0 37.889 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 37.889 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 37.889 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 37.889 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 37.889 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 37.890 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 37.890 * [taylor]: Taking taylor expansion of 0 in J 37.890 * [backup-simplify]: Simplify 0 into 0 37.890 * [backup-simplify]: Simplify (+ 0) into 0 37.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 37.890 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 37.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.891 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 37.891 * [backup-simplify]: Simplify (- 0) into 0 37.892 * [backup-simplify]: Simplify (+ 0 0) into 0 37.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 37.892 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 37.892 * [backup-simplify]: Simplify 0 into 0 37.893 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 37.893 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 37.893 * [taylor]: Taking taylor expansion of 0 in J 37.893 * [backup-simplify]: Simplify 0 into 0 37.893 * [backup-simplify]: Simplify 0 into 0 37.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.894 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.894 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.895 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.895 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.895 * [backup-simplify]: Simplify (- 0) into 0 37.896 * [backup-simplify]: Simplify (+ 0 0) into 0 37.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.897 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 37.897 * [backup-simplify]: Simplify 0 into 0 37.897 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 37.898 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 37.898 * [taylor]: Taking taylor expansion of 0 in J 37.898 * [backup-simplify]: Simplify 0 into 0 37.898 * [backup-simplify]: Simplify 0 into 0 37.898 * [backup-simplify]: Simplify 0 into 0 37.899 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.899 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.900 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.901 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.901 * [backup-simplify]: Simplify (- 0) into 0 37.901 * [backup-simplify]: Simplify (+ 0 0) into 0 37.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.903 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 37.903 * [backup-simplify]: Simplify 0 into 0 37.903 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 37.903 * [backup-simplify]: Simplify (* (sqrt (cos (/ (/ 1 (- K)) 2))) (* (sqrt (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J))))) into (* 2 (/ (cos (/ -1/2 K)) J)) 37.903 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 37.903 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 37.903 * [taylor]: Taking taylor expansion of 2 in J 37.903 * [backup-simplify]: Simplify 2 into 2 37.903 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 37.903 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 37.903 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 37.903 * [taylor]: Taking taylor expansion of -1/2 in J 37.903 * [backup-simplify]: Simplify -1/2 into -1/2 37.903 * [taylor]: Taking taylor expansion of K in J 37.903 * [backup-simplify]: Simplify K into K 37.904 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.904 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.904 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.904 * [taylor]: Taking taylor expansion of J in J 37.904 * [backup-simplify]: Simplify 0 into 0 37.904 * [backup-simplify]: Simplify 1 into 1 37.904 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.904 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.904 * [backup-simplify]: Simplify (- 0) into 0 37.904 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.904 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.904 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 37.904 * [taylor]: Taking taylor expansion of 2 in K 37.904 * [backup-simplify]: Simplify 2 into 2 37.904 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 37.904 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 37.904 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 37.904 * [taylor]: Taking taylor expansion of -1/2 in K 37.904 * [backup-simplify]: Simplify -1/2 into -1/2 37.904 * [taylor]: Taking taylor expansion of K in K 37.904 * [backup-simplify]: Simplify 0 into 0 37.904 * [backup-simplify]: Simplify 1 into 1 37.905 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 37.905 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.905 * [taylor]: Taking taylor expansion of J in K 37.905 * [backup-simplify]: Simplify J into J 37.905 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 37.905 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 37.905 * [taylor]: Taking taylor expansion of 2 in K 37.905 * [backup-simplify]: Simplify 2 into 2 37.905 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 37.905 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 37.905 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 37.905 * [taylor]: Taking taylor expansion of -1/2 in K 37.905 * [backup-simplify]: Simplify -1/2 into -1/2 37.905 * [taylor]: Taking taylor expansion of K in K 37.905 * [backup-simplify]: Simplify 0 into 0 37.905 * [backup-simplify]: Simplify 1 into 1 37.905 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 37.905 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.905 * [taylor]: Taking taylor expansion of J in K 37.905 * [backup-simplify]: Simplify J into J 37.905 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 37.905 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 37.905 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 37.905 * [taylor]: Taking taylor expansion of 2 in J 37.905 * [backup-simplify]: Simplify 2 into 2 37.905 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 37.906 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 37.906 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 37.906 * [taylor]: Taking taylor expansion of -1/2 in J 37.906 * [backup-simplify]: Simplify -1/2 into -1/2 37.906 * [taylor]: Taking taylor expansion of K in J 37.906 * [backup-simplify]: Simplify K into K 37.906 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 37.906 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 37.906 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 37.906 * [taylor]: Taking taylor expansion of J in J 37.906 * [backup-simplify]: Simplify 0 into 0 37.906 * [backup-simplify]: Simplify 1 into 1 37.906 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.906 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 37.906 * [backup-simplify]: Simplify (- 0) into 0 37.906 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 37.906 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 37.906 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 37.906 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 37.906 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 37.907 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 37.907 * [taylor]: Taking taylor expansion of 0 in J 37.907 * [backup-simplify]: Simplify 0 into 0 37.907 * [backup-simplify]: Simplify (+ 0) into 0 37.907 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 37.908 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 37.908 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 37.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 37.909 * [backup-simplify]: Simplify (- 0) into 0 37.909 * [backup-simplify]: Simplify (+ 0 0) into 0 37.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 37.910 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 37.910 * [backup-simplify]: Simplify 0 into 0 37.910 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 37.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 37.910 * [taylor]: Taking taylor expansion of 0 in J 37.910 * [backup-simplify]: Simplify 0 into 0 37.910 * [backup-simplify]: Simplify 0 into 0 37.911 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 37.912 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 37.912 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.912 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 37.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 37.913 * [backup-simplify]: Simplify (- 0) into 0 37.913 * [backup-simplify]: Simplify (+ 0 0) into 0 37.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 37.914 * [backup-simplify]: Simplify 0 into 0 37.915 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 37.915 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 37.915 * [taylor]: Taking taylor expansion of 0 in J 37.915 * [backup-simplify]: Simplify 0 into 0 37.915 * [backup-simplify]: Simplify 0 into 0 37.915 * [backup-simplify]: Simplify 0 into 0 37.916 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 37.916 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 37.919 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 37.919 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 37.919 * [backup-simplify]: Simplify (- 0) into 0 37.920 * [backup-simplify]: Simplify (+ 0 0) into 0 37.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.922 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 37.922 * [backup-simplify]: Simplify 0 into 0 37.922 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 37.922 * * * [progress]: simplifying candidates 37.922 * * * * [progress]: [ 1 / 113 ] simplifiying candidate # 37.922 * * * * [progress]: [ 2 / 113 ] simplifiying candidate # 37.922 * * * * [progress]: [ 3 / 113 ] simplifiying candidate # 37.922 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))) 37.922 * * [simplify]: iters left: 6 (17 enodes) 37.927 * * [simplify]: iters left: 5 (69 enodes) 37.940 * * [simplify]: iters left: 4 (118 enodes) 37.963 * * [simplify]: iters left: 3 (209 enodes) 38.048 * * [simplify]: iters left: 2 (337 enodes) 38.146 * * [simplify]: iters left: 1 (369 enodes) 38.234 * * [simplify]: Extracting #0: cost 1 inf + 0 38.234 * * [simplify]: Extracting #1: cost 24 inf + 0 38.234 * * [simplify]: Extracting #2: cost 44 inf + 44 38.234 * * [simplify]: Extracting #3: cost 53 inf + 87 38.235 * * [simplify]: Extracting #4: cost 57 inf + 1070 38.237 * * [simplify]: Extracting #5: cost 37 inf + 5330 38.245 * * [simplify]: Extracting #6: cost 5 inf + 14077 38.256 * * [simplify]: Extracting #7: cost 0 inf + 16040 38.265 * [simplify]: Simplified to (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) J) 38.265 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) J) 1)) 38.266 * * * * [progress]: [ 4 / 113 ] simplifiying candidate # 38.266 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))) 38.266 * * [simplify]: iters left: 6 (17 enodes) 38.276 * * [simplify]: iters left: 5 (69 enodes) 38.296 * * [simplify]: iters left: 4 (118 enodes) 38.318 * * [simplify]: iters left: 3 (209 enodes) 38.401 * * [simplify]: iters left: 2 (337 enodes) 38.511 * * [simplify]: iters left: 1 (369 enodes) 38.595 * * [simplify]: Extracting #0: cost 1 inf + 0 38.596 * * [simplify]: Extracting #1: cost 24 inf + 0 38.596 * * [simplify]: Extracting #2: cost 44 inf + 44 38.596 * * [simplify]: Extracting #3: cost 53 inf + 87 38.596 * * [simplify]: Extracting #4: cost 57 inf + 1070 38.598 * * [simplify]: Extracting #5: cost 37 inf + 5330 38.603 * * [simplify]: Extracting #6: cost 5 inf + 14077 38.608 * * [simplify]: Extracting #7: cost 0 inf + 16040 38.613 * [simplify]: Simplified to (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) J) 38.613 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) J) 1)) 38.613 * * * * [progress]: [ 5 / 113 ] simplifiying candidate # 38.613 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))) 38.613 * * [simplify]: iters left: 6 (17 enodes) 38.618 * * [simplify]: iters left: 5 (69 enodes) 38.641 * * [simplify]: iters left: 4 (118 enodes) 38.677 * * [simplify]: iters left: 3 (209 enodes) 38.729 * * [simplify]: iters left: 2 (337 enodes) 38.813 * * [simplify]: iters left: 1 (369 enodes) 38.909 * * [simplify]: Extracting #0: cost 1 inf + 0 38.909 * * [simplify]: Extracting #1: cost 24 inf + 0 38.909 * * [simplify]: Extracting #2: cost 44 inf + 44 38.909 * * [simplify]: Extracting #3: cost 53 inf + 87 38.910 * * [simplify]: Extracting #4: cost 57 inf + 1070 38.911 * * [simplify]: Extracting #5: cost 37 inf + 5330 38.915 * * [simplify]: Extracting #6: cost 5 inf + 14077 38.919 * * [simplify]: Extracting #7: cost 0 inf + 16040 38.924 * [simplify]: Simplified to (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) J) 38.924 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) J) 1)) 38.925 * * * * [progress]: [ 6 / 113 ] simplifiying candidate # 38.925 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))) 38.925 * * [simplify]: iters left: 6 (17 enodes) 38.930 * * [simplify]: iters left: 5 (69 enodes) 38.949 * * [simplify]: iters left: 4 (118 enodes) 38.988 * * [simplify]: iters left: 3 (209 enodes) 39.042 * * [simplify]: iters left: 2 (337 enodes) 39.474 * * [simplify]: iters left: 1 (369 enodes) 39.526 * * [simplify]: Extracting #0: cost 1 inf + 0 39.526 * * [simplify]: Extracting #1: cost 24 inf + 0 39.526 * * [simplify]: Extracting #2: cost 44 inf + 44 39.527 * * [simplify]: Extracting #3: cost 53 inf + 87 39.527 * * [simplify]: Extracting #4: cost 57 inf + 1070 39.529 * * [simplify]: Extracting #5: cost 37 inf + 5330 39.536 * * [simplify]: Extracting #6: cost 5 inf + 14077 39.544 * * [simplify]: Extracting #7: cost 0 inf + 16040 39.553 * [simplify]: Simplified to (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) J) 39.553 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (cos (/ K 2))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) J) 1)) 39.553 * * * * [progress]: [ 7 / 113 ] simplifiying candidate # 39.553 * * * * [progress]: [ 8 / 113 ] simplifiying candidate # 39.553 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (sqrt (cos (/ K 2)))) (+ (log (sqrt (cos (/ K 2)))) (+ (log -2) (log J))))) 39.554 * * [simplify]: iters left: 6 (21 enodes) 39.563 * * [simplify]: iters left: 5 (81 enodes) 39.587 * * [simplify]: iters left: 4 (137 enodes) 39.628 * * [simplify]: iters left: 3 (233 enodes) 39.703 * * [simplify]: iters left: 2 (320 enodes) 39.793 * * [simplify]: iters left: 1 (337 enodes) 39.873 * * [simplify]: Extracting #0: cost 1 inf + 0 39.874 * * [simplify]: Extracting #1: cost 24 inf + 0 39.874 * * [simplify]: Extracting #2: cost 50 inf + 0 39.874 * * [simplify]: Extracting #3: cost 51 inf + 144 39.874 * * [simplify]: Extracting #4: cost 58 inf + 469 39.875 * * [simplify]: Extracting #5: cost 67 inf + 653 39.875 * * [simplify]: Extracting #6: cost 59 inf + 1881 39.877 * * [simplify]: Extracting #7: cost 26 inf + 10424 39.883 * * [simplify]: Extracting #8: cost 1 inf + 23217 39.889 * * [simplify]: Extracting #9: cost 0 inf + 23868 39.894 * [simplify]: Simplified to (+ (+ (+ (log -2) (log J)) (+ (log (sqrt (cos (/ K 2)))) (log (sqrt (cos (/ K 2)))))) (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) 39.894 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log J)) (+ (log (sqrt (cos (/ K 2)))) (log (sqrt (cos (/ K 2)))))) (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))))) 39.895 * * * * [progress]: [ 9 / 113 ] simplifiying candidate # 39.895 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (sqrt (cos (/ K 2)))) (+ (log (sqrt (cos (/ K 2)))) (log (* -2 J))))) 39.895 * * [simplify]: iters left: 6 (20 enodes) 39.902 * * [simplify]: iters left: 5 (79 enodes) 39.928 * * [simplify]: iters left: 4 (129 enodes) 39.968 * * [simplify]: iters left: 3 (211 enodes) 40.015 * * [simplify]: iters left: 2 (311 enodes) 40.091 * * [simplify]: iters left: 1 (339 enodes) 40.143 * * [simplify]: Extracting #0: cost 1 inf + 0 40.144 * * [simplify]: Extracting #1: cost 24 inf + 0 40.144 * * [simplify]: Extracting #2: cost 51 inf + 0 40.144 * * [simplify]: Extracting #3: cost 51 inf + 298 40.144 * * [simplify]: Extracting #4: cost 57 inf + 595 40.145 * * [simplify]: Extracting #5: cost 67 inf + 597 40.145 * * [simplify]: Extracting #6: cost 56 inf + 2054 40.146 * * [simplify]: Extracting #7: cost 38 inf + 5103 40.149 * * [simplify]: Extracting #8: cost 12 inf + 16356 40.155 * * [simplify]: Extracting #9: cost 0 inf + 23112 40.160 * [simplify]: Simplified to (+ (+ (log (sqrt (cos (/ K 2)))) (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) (+ (log (sqrt (cos (/ K 2)))) (log (* J -2)))) 40.160 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (sqrt (cos (/ K 2)))) (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) (+ (log (sqrt (cos (/ K 2)))) (log (* J -2)))))) 40.160 * * * * [progress]: [ 10 / 113 ] simplifiying candidate # 40.161 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (sqrt (cos (/ K 2)))) (log (* (sqrt (cos (/ K 2))) (* -2 J))))) 40.161 * * [simplify]: iters left: 6 (20 enodes) 40.167 * * [simplify]: iters left: 5 (78 enodes) 40.188 * * [simplify]: iters left: 4 (127 enodes) 40.229 * * [simplify]: iters left: 3 (195 enodes) 40.277 * * [simplify]: iters left: 2 (296 enodes) 40.335 * * [simplify]: iters left: 1 (348 enodes) 40.408 * * [simplify]: Extracting #0: cost 1 inf + 0 40.408 * * [simplify]: Extracting #1: cost 24 inf + 0 40.409 * * [simplify]: Extracting #2: cost 54 inf + 0 40.409 * * [simplify]: Extracting #3: cost 58 inf + 186 40.410 * * [simplify]: Extracting #4: cost 65 inf + 412 40.411 * * [simplify]: Extracting #5: cost 73 inf + 597 40.412 * * [simplify]: Extracting #6: cost 64 inf + 1867 40.414 * * [simplify]: Extracting #7: cost 39 inf + 6170 40.420 * * [simplify]: Extracting #8: cost 14 inf + 16002 40.431 * * [simplify]: Extracting #9: cost 0 inf + 23452 40.441 * [simplify]: Simplified to (+ (log (* J -2)) (+ (+ (log (sqrt (cos (/ K 2)))) (log (sqrt (cos (/ K 2))))) (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) 40.441 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* J -2)) (+ (+ (log (sqrt (cos (/ K 2)))) (log (sqrt (cos (/ K 2))))) (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))))) 40.441 * * * * [progress]: [ 11 / 113 ] simplifiying candidate # 40.442 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 40.442 * * [simplify]: iters left: 6 (19 enodes) 40.447 * * [simplify]: iters left: 5 (76 enodes) 40.461 * * [simplify]: iters left: 4 (128 enodes) 40.499 * * [simplify]: iters left: 3 (216 enodes) 40.549 * * [simplify]: iters left: 2 (329 enodes) 40.626 * * [simplify]: iters left: 1 (381 enodes) 40.704 * * [simplify]: Extracting #0: cost 1 inf + 0 40.704 * * [simplify]: Extracting #1: cost 24 inf + 0 40.704 * * [simplify]: Extracting #2: cost 58 inf + 0 40.705 * * [simplify]: Extracting #3: cost 66 inf + 186 40.706 * * [simplify]: Extracting #4: cost 71 inf + 595 40.707 * * [simplify]: Extracting #5: cost 67 inf + 2770 40.711 * * [simplify]: Extracting #6: cost 31 inf + 13394 40.719 * * [simplify]: Extracting #7: cost 2 inf + 23074 40.725 * * [simplify]: Extracting #8: cost 0 inf + 24056 40.731 * [simplify]: Simplified to (+ (log (* (* -2 (cos (/ K 2))) J)) (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) 40.731 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (* -2 (cos (/ K 2))) J)) (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))))) 40.731 * * * * [progress]: [ 12 / 113 ] simplifiying candidate # 40.732 * * * * [progress]: [ 13 / 113 ] simplifiying candidate # 40.732 * * * * [progress]: [ 14 / 113 ] simplifiying candidate # 40.732 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))))) 40.732 * * [simplify]: iters left: 6 (25 enodes) 40.742 * * [simplify]: iters left: 5 (106 enodes) 40.765 * * [simplify]: iters left: 4 (295 enodes) 40.925 * * [simplify]: Extracting #0: cost 1 inf + 0 40.925 * * [simplify]: Extracting #1: cost 66 inf + 0 40.927 * * [simplify]: Extracting #2: cost 318 inf + 247 40.930 * * [simplify]: Extracting #3: cost 355 inf + 1276 40.935 * * [simplify]: Extracting #4: cost 332 inf + 7179 40.951 * * [simplify]: Extracting #5: cost 164 inf + 61553 40.989 * * [simplify]: Extracting #6: cost 13 inf + 124091 41.050 * * [simplify]: Extracting #7: cost 0 inf + 130025 41.096 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* J J) J))) -8)) 41.096 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* J J) J))) -8)))) 41.096 * * * * [progress]: [ 15 / 113 ] simplifiying candidate # 41.096 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))))) 41.097 * * [simplify]: iters left: 6 (23 enodes) 41.104 * * [simplify]: iters left: 5 (104 enodes) 41.137 * * [simplify]: iters left: 4 (293 enodes) 41.321 * * [simplify]: Extracting #0: cost 1 inf + 0 41.321 * * [simplify]: Extracting #1: cost 63 inf + 0 41.323 * * [simplify]: Extracting #2: cost 283 inf + 2 41.326 * * [simplify]: Extracting #3: cost 335 inf + 662 41.329 * * [simplify]: Extracting #4: cost 329 inf + 2437 41.336 * * [simplify]: Extracting #5: cost 291 inf + 10418 41.365 * * [simplify]: Extracting #6: cost 151 inf + 60639 41.395 * * [simplify]: Extracting #7: cost 3 inf + 125996 41.454 * * [simplify]: Extracting #8: cost 0 inf + 127221 41.515 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* J (* (* J J) -8)))) 41.515 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* J (* (* J J) -8)))))) 41.515 * * * * [progress]: [ 16 / 113 ] simplifiying candidate # 41.515 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* (sqrt (cos (/ K 2))) (* -2 J)) (* (sqrt (cos (/ K 2))) (* -2 J))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 41.516 * * [simplify]: iters left: 6 (23 enodes) 41.523 * * [simplify]: iters left: 5 (100 enodes) 41.552 * * [simplify]: iters left: 4 (301 enodes) 41.758 * * [simplify]: Extracting #0: cost 1 inf + 0 41.758 * * [simplify]: Extracting #1: cost 73 inf + 0 41.759 * * [simplify]: Extracting #2: cost 346 inf + 43 41.761 * * [simplify]: Extracting #3: cost 376 inf + 548 41.764 * * [simplify]: Extracting #4: cost 353 inf + 7080 41.787 * * [simplify]: Extracting #5: cost 166 inf + 73549 41.830 * * [simplify]: Extracting #6: cost 2 inf + 142949 41.902 * * [simplify]: Extracting #7: cost 0 inf + 143272 41.971 * [simplify]: Simplified to (* (* (hypot 1 (/ U (* 2 (* J (cos (/ K 2)))))) (* (hypot 1 (/ U (* 2 (* J (cos (/ K 2)))))) (hypot 1 (/ U (* 2 (* J (cos (/ K 2)))))))) (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2)))) 41.971 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (hypot 1 (/ U (* 2 (* J (cos (/ K 2)))))) (* (hypot 1 (/ U (* 2 (* J (cos (/ K 2)))))) (hypot 1 (/ U (* 2 (* J (cos (/ K 2)))))))) (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2)))))) 41.971 * * * * [progress]: [ 17 / 113 ] simplifiying candidate # 41.972 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 41.972 * * [simplify]: iters left: 6 (21 enodes) 41.978 * * [simplify]: iters left: 5 (93 enodes) 42.002 * * [simplify]: iters left: 4 (241 enodes) 42.143 * * [simplify]: Extracting #0: cost 1 inf + 0 42.143 * * [simplify]: Extracting #1: cost 51 inf + 0 42.144 * * [simplify]: Extracting #2: cost 284 inf + 44 42.145 * * [simplify]: Extracting #3: cost 303 inf + 623 42.147 * * [simplify]: Extracting #4: cost 286 inf + 5382 42.163 * * [simplify]: Extracting #5: cost 134 inf + 56201 42.209 * * [simplify]: Extracting #6: cost 23 inf + 105224 42.252 * * [simplify]: Extracting #7: cost 0 inf + 117445 42.295 * * [simplify]: Extracting #8: cost 0 inf + 116885 42.331 * * [simplify]: Extracting #9: cost 0 inf + 116725 42.375 * [simplify]: Simplified to (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* J -2)) (cos (/ K 2))) (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* J -2)) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* J -2)) (cos (/ K 2))))) 42.375 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* J -2)) (cos (/ K 2))) (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* J -2)) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* J -2)) (cos (/ K 2))))))) 42.375 * * * * [progress]: [ 18 / 113 ] simplifiying candidate # 42.375 * * * * [progress]: [ 19 / 113 ] simplifiying candidate # 42.375 * * * * [progress]: [ 20 / 113 ] simplifiying candidate # 42.376 * * * * [progress]: [ 21 / 113 ] simplifiying candidate # 42.376 * * * * [progress]: [ 22 / 113 ] simplifiying candidate # 42.376 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (* -2 J)) 42.376 * * [simplify]: iters left: 6 (9 enodes) 42.379 * * [simplify]: iters left: 5 (31 enodes) 42.385 * * [simplify]: iters left: 4 (39 enodes) 42.391 * * [simplify]: iters left: 3 (44 enodes) 42.398 * * [simplify]: Extracting #0: cost 1 inf + 0 42.398 * * [simplify]: Extracting #1: cost 8 inf + 0 42.398 * * [simplify]: Extracting #2: cost 10 inf + 44 42.398 * * [simplify]: Extracting #3: cost 11 inf + 86 42.398 * * [simplify]: Extracting #4: cost 14 inf + 86 42.398 * * [simplify]: Extracting #5: cost 12 inf + 88 42.398 * * [simplify]: Extracting #6: cost 8 inf + 376 42.399 * * [simplify]: Extracting #7: cost 1 inf + 1698 42.399 * * [simplify]: Extracting #8: cost 0 inf + 1840 42.399 * [simplify]: Simplified to (* (* -2 J) (sqrt (cos (/ K 2)))) 42.400 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) (* (* -2 J) (sqrt (cos (/ K 2)))))) 42.400 * * * * [progress]: [ 23 / 113 ] simplifiying candidate # 42.400 * [simplify]: Simplifying (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 42.400 * * [simplify]: iters left: 6 (13 enodes) 42.407 * * [simplify]: iters left: 5 (47 enodes) 42.419 * * [simplify]: iters left: 4 (67 enodes) 42.430 * * [simplify]: iters left: 3 (84 enodes) 42.442 * * [simplify]: iters left: 2 (89 enodes) 42.460 * * [simplify]: Extracting #0: cost 1 inf + 0 42.460 * * [simplify]: Extracting #1: cost 3 inf + 0 42.460 * * [simplify]: Extracting #2: cost 5 inf + 0 42.460 * * [simplify]: Extracting #3: cost 8 inf + 0 42.460 * * [simplify]: Extracting #4: cost 18 inf + 1 42.460 * * [simplify]: Extracting #5: cost 27 inf + 4 42.460 * * [simplify]: Extracting #6: cost 27 inf + 338 42.460 * * [simplify]: Extracting #7: cost 23 inf + 465 42.461 * * [simplify]: Extracting #8: cost 12 inf + 2056 42.462 * * [simplify]: Extracting #9: cost 1 inf + 4835 42.463 * * [simplify]: Extracting #10: cost 0 inf + 5195 42.463 * [simplify]: Simplified to (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 42.464 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))) 42.464 * * * * [progress]: [ 24 / 113 ] simplifiying candidate # 42.464 * [simplify]: Simplifying (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) 42.464 * * [simplify]: iters left: 6 (12 enodes) 42.467 * * [simplify]: iters left: 5 (44 enodes) 42.475 * * [simplify]: iters left: 4 (64 enodes) 42.486 * * [simplify]: iters left: 3 (81 enodes) 42.509 * * [simplify]: iters left: 2 (86 enodes) 42.532 * * [simplify]: Extracting #0: cost 1 inf + 0 42.532 * * [simplify]: Extracting #1: cost 3 inf + 0 42.532 * * [simplify]: Extracting #2: cost 6 inf + 0 42.532 * * [simplify]: Extracting #3: cost 16 inf + 1 42.532 * * [simplify]: Extracting #4: cost 25 inf + 4 42.532 * * [simplify]: Extracting #5: cost 26 inf + 255 42.533 * * [simplify]: Extracting #6: cost 21 inf + 465 42.534 * * [simplify]: Extracting #7: cost 7 inf + 2565 42.535 * * [simplify]: Extracting #8: cost 1 inf + 4035 42.537 * * [simplify]: Extracting #9: cost 0 inf + 4315 42.538 * [simplify]: Simplified to (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 42.538 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))) 42.539 * * * * [progress]: [ 25 / 113 ] simplifiying candidate # 42.539 * * * * [progress]: [ 26 / 113 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))))> 42.539 * * * * [progress]: [ 27 / 113 ] simplifiying candidate # 42.539 * * * * [progress]: [ 28 / 113 ] simplifiying candidate # 42.539 * * * * [progress]: [ 29 / 113 ] simplifiying candidate # 42.539 * * * * [progress]: [ 30 / 113 ] simplifiying candidate # 42.539 * * * * [progress]: [ 31 / 113 ] simplifiying candidate # 42.539 * [simplify]: Simplifying (- (log U) (+ (log J) (+ (log (cos (/ K 2))) (log 2)))) 42.540 * * [simplify]: iters left: 6 (13 enodes) 42.546 * * [simplify]: iters left: 5 (47 enodes) 42.563 * * [simplify]: iters left: 4 (77 enodes) 42.590 * * [simplify]: iters left: 3 (142 enodes) 42.644 * * [simplify]: iters left: 2 (244 enodes) 42.715 * * [simplify]: iters left: 1 (389 enodes) 42.875 * * [simplify]: Extracting #0: cost 1 inf + 0 42.875 * * [simplify]: Extracting #1: cost 43 inf + 0 42.876 * * [simplify]: Extracting #2: cost 85 inf + 0 42.876 * * [simplify]: Extracting #3: cost 78 inf + 509 42.878 * * [simplify]: Extracting #4: cost 62 inf + 3772 42.880 * * [simplify]: Extracting #5: cost 40 inf + 8371 42.888 * * [simplify]: Extracting #6: cost 9 inf + 19264 42.897 * * [simplify]: Extracting #7: cost 0 inf + 22854 42.906 * [simplify]: Simplified to (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))) 42.907 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 42.907 * * * * [progress]: [ 32 / 113 ] simplifiying candidate # 42.907 * [simplify]: Simplifying (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) 42.907 * * [simplify]: iters left: 6 (12 enodes) 42.914 * * [simplify]: iters left: 5 (45 enodes) 42.928 * * [simplify]: iters left: 4 (69 enodes) 42.953 * * [simplify]: iters left: 3 (118 enodes) 42.982 * * [simplify]: iters left: 2 (207 enodes) 43.048 * * [simplify]: iters left: 1 (350 enodes) 43.188 * * [simplify]: Extracting #0: cost 1 inf + 0 43.188 * * [simplify]: Extracting #1: cost 41 inf + 0 43.189 * * [simplify]: Extracting #2: cost 80 inf + 0 43.189 * * [simplify]: Extracting #3: cost 70 inf + 1095 43.190 * * [simplify]: Extracting #4: cost 52 inf + 5095 43.191 * * [simplify]: Extracting #5: cost 38 inf + 7394 43.193 * * [simplify]: Extracting #6: cost 16 inf + 14208 43.198 * * [simplify]: Extracting #7: cost 0 inf + 19711 43.202 * [simplify]: Simplified to (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) 43.202 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 43.203 * * * * [progress]: [ 33 / 113 ] simplifiying candidate # 43.203 * [simplify]: Simplifying (- (log U) (log (* J (* (cos (/ K 2)) 2)))) 43.203 * * [simplify]: iters left: 6 (11 enodes) 43.206 * * [simplify]: iters left: 5 (42 enodes) 43.214 * * [simplify]: iters left: 4 (69 enodes) 43.231 * * [simplify]: iters left: 3 (114 enodes) 43.268 * * [simplify]: iters left: 2 (185 enodes) 43.316 * * [simplify]: iters left: 1 (294 enodes) 43.432 * * [simplify]: Extracting #0: cost 1 inf + 0 43.433 * * [simplify]: Extracting #1: cost 54 inf + 0 43.433 * * [simplify]: Extracting #2: cost 108 inf + 0 43.434 * * [simplify]: Extracting #3: cost 107 inf + 327 43.435 * * [simplify]: Extracting #4: cost 86 inf + 3544 43.438 * * [simplify]: Extracting #5: cost 62 inf + 8359 43.443 * * [simplify]: Extracting #6: cost 21 inf + 20747 43.450 * * [simplify]: Extracting #7: cost 0 inf + 27400 43.455 * * [simplify]: Extracting #8: cost 0 inf + 27050 43.461 * [simplify]: Simplified to (- (log U) (log (* (* 2 J) (cos (/ K 2))))) 43.461 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (log U) (log (* (* 2 J) (cos (/ K 2))))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 43.462 * * * * [progress]: [ 34 / 113 ] simplifiying candidate # 43.462 * * * * [progress]: [ 35 / 113 ] simplifiying candidate # 43.462 * * * * [progress]: [ 36 / 113 ] simplifiying candidate # 43.462 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2)))) 43.462 * * [simplify]: iters left: 6 (17 enodes) 43.468 * * [simplify]: iters left: 5 (74 enodes) 43.489 * * [simplify]: iters left: 4 (218 enodes) 43.619 * * [simplify]: Extracting #0: cost 1 inf + 0 43.619 * * [simplify]: Extracting #1: cost 173 inf + 0 43.623 * * [simplify]: Extracting #2: cost 367 inf + 2039 43.628 * * [simplify]: Extracting #3: cost 314 inf + 9518 43.637 * * [simplify]: Extracting #4: cost 137 inf + 52354 43.661 * * [simplify]: Extracting #5: cost 2 inf + 91480 43.706 * * [simplify]: Extracting #6: cost 0 inf + 91928 43.755 * [simplify]: Simplified to (/ (/ (* (/ U J) (/ U J)) (/ 8 (/ U J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) 43.756 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (/ (/ (* (/ U J) (/ U J)) (/ 8 (/ U J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 43.756 * * * * [progress]: [ 37 / 113 ] simplifiying candidate # 43.757 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2)))) 43.757 * * [simplify]: iters left: 6 (15 enodes) 43.766 * * [simplify]: iters left: 5 (71 enodes) 43.797 * * [simplify]: iters left: 4 (218 enodes) 43.932 * * [simplify]: Extracting #0: cost 1 inf + 0 43.932 * * [simplify]: Extracting #1: cost 159 inf + 0 43.940 * * [simplify]: Extracting #2: cost 369 inf + 1023 43.946 * * [simplify]: Extracting #3: cost 331 inf + 6901 43.960 * * [simplify]: Extracting #4: cost 161 inf + 51690 43.988 * * [simplify]: Extracting #5: cost 6 inf + 97480 44.029 * * [simplify]: Extracting #6: cost 0 inf + 98543 44.068 * [simplify]: Simplified to (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (cos (/ K 2)) 2) (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)))) 44.068 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (cos (/ K 2)) 2) (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.068 * * * * [progress]: [ 38 / 113 ] simplifiying candidate # 44.068 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))) 44.069 * * [simplify]: iters left: 6 (13 enodes) 44.074 * * [simplify]: iters left: 5 (61 enodes) 44.089 * * [simplify]: iters left: 4 (231 enodes) 44.279 * * [simplify]: Extracting #0: cost 1 inf + 0 44.280 * * [simplify]: Extracting #1: cost 188 inf + 0 44.284 * * [simplify]: Extracting #2: cost 413 inf + 741 44.289 * * [simplify]: Extracting #3: cost 387 inf + 5457 44.303 * * [simplify]: Extracting #4: cost 186 inf + 57444 44.338 * * [simplify]: Extracting #5: cost 3 inf + 111030 44.378 * * [simplify]: Extracting #6: cost 0 inf + 111016 44.421 * [simplify]: Simplified to (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) 44.421 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.422 * * * * [progress]: [ 39 / 113 ] simplifiying candidate # 44.422 * * * * [progress]: [ 40 / 113 ] simplifiying candidate # 44.422 * * * * [progress]: [ 41 / 113 ] simplifiying candidate # 44.422 * * * * [progress]: [ 42 / 113 ] simplifiying candidate # 44.422 * * * * [progress]: [ 43 / 113 ] simplifiying candidate # 44.422 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) J) 44.422 * * [simplify]: iters left: 5 (5 enodes) 44.423 * * [simplify]: iters left: 4 (17 enodes) 44.426 * * [simplify]: iters left: 3 (21 enodes) 44.430 * * [simplify]: iters left: 2 (24 enodes) 44.439 * * [simplify]: Extracting #0: cost 1 inf + 0 44.439 * * [simplify]: Extracting #1: cost 7 inf + 0 44.439 * * [simplify]: Extracting #2: cost 11 inf + 1 44.439 * * [simplify]: Extracting #3: cost 10 inf + 2 44.440 * * [simplify]: Extracting #4: cost 0 inf + 1218 44.440 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) J) 44.440 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) J) (/ (cbrt U) (* (cos (/ K 2)) 2)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.440 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) 2)) 44.441 * * [simplify]: iters left: 6 (8 enodes) 44.445 * * [simplify]: iters left: 5 (27 enodes) 44.454 * * [simplify]: iters left: 4 (31 enodes) 44.464 * * [simplify]: iters left: 3 (33 enodes) 44.473 * * [simplify]: Extracting #0: cost 1 inf + 0 44.473 * * [simplify]: Extracting #1: cost 8 inf + 0 44.473 * * [simplify]: Extracting #2: cost 14 inf + 1 44.473 * * [simplify]: Extracting #3: cost 15 inf + 2 44.473 * * [simplify]: Extracting #4: cost 10 inf + 270 44.474 * * [simplify]: Extracting #5: cost 1 inf + 1690 44.474 * * [simplify]: Extracting #6: cost 0 inf + 1953 44.475 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) 2) 44.475 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) J) (/ (/ (cbrt U) (cos (/ K 2))) 2))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.475 * * * * [progress]: [ 44 / 113 ] simplifiying candidate # 44.476 * [simplify]: Simplifying (/ (sqrt U) J) 44.476 * * [simplify]: iters left: 3 (4 enodes) 44.477 * * [simplify]: iters left: 2 (12 enodes) 44.481 * * [simplify]: Extracting #0: cost 1 inf + 0 44.481 * * [simplify]: Extracting #1: cost 4 inf + 0 44.481 * * [simplify]: Extracting #2: cost 5 inf + 1 44.481 * * [simplify]: Extracting #3: cost 4 inf + 2 44.481 * * [simplify]: Extracting #4: cost 0 inf + 248 44.481 * [simplify]: Simplified to (/ (sqrt U) J) 44.481 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (/ (sqrt U) J) (/ (sqrt U) (* (cos (/ K 2)) 2)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.481 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) 2)) 44.482 * * [simplify]: iters left: 6 (8 enodes) 44.486 * * [simplify]: iters left: 5 (27 enodes) 44.494 * * [simplify]: iters left: 4 (31 enodes) 44.503 * * [simplify]: iters left: 3 (33 enodes) 44.508 * * [simplify]: Extracting #0: cost 1 inf + 0 44.508 * * [simplify]: Extracting #1: cost 8 inf + 0 44.508 * * [simplify]: Extracting #2: cost 14 inf + 1 44.509 * * [simplify]: Extracting #3: cost 15 inf + 2 44.509 * * [simplify]: Extracting #4: cost 10 inf + 230 44.509 * * [simplify]: Extracting #5: cost 1 inf + 1410 44.509 * * [simplify]: Extracting #6: cost 0 inf + 1633 44.509 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) 2) 44.509 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (/ (sqrt U) J) (/ (/ (sqrt U) (cos (/ K 2))) 2))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.510 * * * * [progress]: [ 45 / 113 ] simplifiying candidate # 44.510 * [simplify]: Simplifying (/ 1 J) 44.510 * * [simplify]: iters left: 2 (3 enodes) 44.511 * * [simplify]: iters left: 1 (11 enodes) 44.513 * * [simplify]: Extracting #0: cost 1 inf + 0 44.513 * * [simplify]: Extracting #1: cost 4 inf + 0 44.513 * * [simplify]: Extracting #2: cost 2 inf + 2 44.513 * * [simplify]: Extracting #3: cost 0 inf + 86 44.513 * [simplify]: Simplified to (/ 1 J) 44.513 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (/ 1 J) (/ U (* (cos (/ K 2)) 2)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.513 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) 2)) 44.514 * * [simplify]: iters left: 6 (7 enodes) 44.515 * * [simplify]: iters left: 5 (24 enodes) 44.519 * * [simplify]: iters left: 4 (28 enodes) 44.524 * * [simplify]: iters left: 3 (30 enodes) 44.529 * * [simplify]: Extracting #0: cost 1 inf + 0 44.529 * * [simplify]: Extracting #1: cost 8 inf + 0 44.529 * * [simplify]: Extracting #2: cost 11 inf + 2 44.529 * * [simplify]: Extracting #3: cost 11 inf + 86 44.529 * * [simplify]: Extracting #4: cost 8 inf + 171 44.529 * * [simplify]: Extracting #5: cost 2 inf + 986 44.529 * * [simplify]: Extracting #6: cost 0 inf + 1311 44.530 * [simplify]: Simplified to (/ (/ U 2) (cos (/ K 2))) 44.530 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (/ 1 J) (/ (/ U 2) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.530 * * * * [progress]: [ 46 / 113 ] simplifiying candidate # 44.530 * * * * [progress]: [ 47 / 113 ] simplifiying candidate # 44.530 * * * * [progress]: [ 48 / 113 ] simplifiying candidate # 44.530 * * * * [progress]: [ 49 / 113 ] simplifiying candidate # 44.530 * [simplify]: Simplifying (* (cos (/ K 2)) 2) 44.530 * * [simplify]: iters left: 5 (5 enodes) 44.532 * * [simplify]: iters left: 4 (16 enodes) 44.538 * * [simplify]: Extracting #0: cost 1 inf + 0 44.538 * * [simplify]: Extracting #1: cost 4 inf + 0 44.538 * * [simplify]: Extracting #2: cost 5 inf + 1 44.538 * * [simplify]: Extracting #3: cost 7 inf + 1 44.538 * * [simplify]: Extracting #4: cost 6 inf + 2 44.538 * * [simplify]: Extracting #5: cost 0 inf + 574 44.538 * [simplify]: Simplified to (* (cos (/ K 2)) 2) 44.538 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.539 * * * * [progress]: [ 50 / 113 ] simplifiying candidate # 44.539 * [simplify]: Simplifying (* (cbrt U) (cbrt U)) 44.539 * * [simplify]: iters left: 3 (3 enodes) 44.540 * * [simplify]: iters left: 2 (9 enodes) 44.543 * * [simplify]: Extracting #0: cost 1 inf + 0 44.543 * * [simplify]: Extracting #1: cost 3 inf + 0 44.543 * * [simplify]: Extracting #2: cost 5 inf + 0 44.543 * * [simplify]: Extracting #3: cost 4 inf + 1 44.543 * * [simplify]: Extracting #4: cost 0 inf + 405 44.543 * [simplify]: Simplified to (* (cbrt U) (cbrt U)) 44.543 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (/ (* (cbrt U) (cbrt U)) (/ (* J (* (cos (/ K 2)) 2)) (cbrt U)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.544 * * * * [progress]: [ 51 / 113 ] simplifiying candidate # 44.544 * [simplify]: Simplifying (sqrt U) 44.544 * * [simplify]: iters left: 1 (2 enodes) 44.545 * * [simplify]: Extracting #0: cost 1 inf + 0 44.545 * * [simplify]: Extracting #1: cost 3 inf + 0 44.545 * * [simplify]: Extracting #2: cost 2 inf + 1 44.545 * * [simplify]: Extracting #3: cost 0 inf + 83 44.545 * [simplify]: Simplified to (sqrt U) 44.545 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (/ (sqrt U) (/ (* J (* (cos (/ K 2)) 2)) (sqrt U)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.545 * * * * [progress]: [ 52 / 113 ] simplifiying candidate # 44.545 * * * * [progress]: [ 53 / 113 ] simplifiying candidate #real (real->posit16 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))> 44.545 * * * * [progress]: [ 54 / 113 ] simplifiying candidate # 44.546 * * * * [progress]: [ 55 / 113 ] simplifiying candidate # 44.546 * * * * [progress]: [ 56 / 113 ] simplifiying candidate # 44.546 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 44.546 * * [simplify]: iters left: 6 (7 enodes) 44.550 * * [simplify]: iters left: 5 (25 enodes) 44.558 * * [simplify]: iters left: 4 (33 enodes) 44.568 * * [simplify]: iters left: 3 (39 enodes) 44.574 * * [simplify]: Extracting #0: cost 1 inf + 0 44.575 * * [simplify]: Extracting #1: cost 8 inf + 0 44.575 * * [simplify]: Extracting #2: cost 11 inf + 2 44.575 * * [simplify]: Extracting #3: cost 12 inf + 44 44.575 * * [simplify]: Extracting #4: cost 8 inf + 171 44.575 * * [simplify]: Extracting #5: cost 3 inf + 843 44.575 * * [simplify]: Extracting #6: cost 0 inf + 1311 44.576 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 44.576 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (pow (* (cos (/ K 2)) (* J 2)) 1))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.576 * * * * [progress]: [ 57 / 113 ] simplifiying candidate # 44.576 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 44.576 * * [simplify]: iters left: 6 (7 enodes) 44.578 * * [simplify]: iters left: 5 (25 enodes) 44.582 * * [simplify]: iters left: 4 (33 enodes) 44.588 * * [simplify]: iters left: 3 (39 enodes) 44.593 * * [simplify]: Extracting #0: cost 1 inf + 0 44.593 * * [simplify]: Extracting #1: cost 8 inf + 0 44.593 * * [simplify]: Extracting #2: cost 11 inf + 2 44.593 * * [simplify]: Extracting #3: cost 12 inf + 44 44.593 * * [simplify]: Extracting #4: cost 8 inf + 171 44.594 * * [simplify]: Extracting #5: cost 3 inf + 843 44.594 * * [simplify]: Extracting #6: cost 0 inf + 1311 44.594 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 44.594 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (pow (* (cos (/ K 2)) (* J 2)) 1))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.594 * * * * [progress]: [ 58 / 113 ] simplifiying candidate # 44.594 * * * * [progress]: [ 59 / 113 ] simplifiying candidate # 44.595 * [simplify]: Simplifying (+ (log J) (+ (log (cos (/ K 2))) (log 2))) 44.595 * * [simplify]: iters left: 6 (10 enodes) 44.600 * * [simplify]: iters left: 5 (34 enodes) 44.610 * * [simplify]: iters left: 4 (42 enodes) 44.623 * * [simplify]: iters left: 3 (47 enodes) 44.636 * * [simplify]: Extracting #0: cost 1 inf + 0 44.636 * * [simplify]: Extracting #1: cost 8 inf + 0 44.636 * * [simplify]: Extracting #2: cost 17 inf + 0 44.636 * * [simplify]: Extracting #3: cost 15 inf + 144 44.636 * * [simplify]: Extracting #4: cost 16 inf + 215 44.636 * * [simplify]: Extracting #5: cost 9 inf + 837 44.637 * * [simplify]: Extracting #6: cost 1 inf + 2916 44.638 * * [simplify]: Extracting #7: cost 0 inf + 3199 44.639 * [simplify]: Simplified to (+ (log 2) (+ (log J) (log (cos (/ K 2))))) 44.639 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (exp (+ (log 2) (+ (log J) (log (cos (/ K 2)))))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.639 * * * * [progress]: [ 60 / 113 ] simplifiying candidate # 44.640 * [simplify]: Simplifying (+ (log J) (log (* (cos (/ K 2)) 2))) 44.640 * * [simplify]: iters left: 6 (9 enodes) 44.645 * * [simplify]: iters left: 5 (32 enodes) 44.655 * * [simplify]: iters left: 4 (41 enodes) 44.667 * * [simplify]: iters left: 3 (50 enodes) 44.681 * * [simplify]: Extracting #0: cost 1 inf + 0 44.681 * * [simplify]: Extracting #1: cost 8 inf + 0 44.681 * * [simplify]: Extracting #2: cost 18 inf + 0 44.682 * * [simplify]: Extracting #3: cost 19 inf + 2 44.682 * * [simplify]: Extracting #4: cost 16 inf + 579 44.682 * * [simplify]: Extracting #5: cost 11 inf + 837 44.683 * * [simplify]: Extracting #6: cost 4 inf + 1991 44.684 * * [simplify]: Extracting #7: cost 0 inf + 3203 44.684 * [simplify]: Simplified to (+ (log (* 2 (cos (/ K 2)))) (log J)) 44.685 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (exp (+ (log (* 2 (cos (/ K 2)))) (log J))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 44.685 * * * * [progress]: [ 61 / 113 ] simplifiying candidate # 44.685 * * * * [progress]: [ 62 / 113 ] simplifiying candidate # 44.685 * * * * [progress]: [ 63 / 113 ] simplifiying candidate # 44.685 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) 44.685 * * [simplify]: iters left: 6 (13 enodes) 44.693 * * [simplify]: iters left: 5 (53 enodes) 44.719 * * [simplify]: iters left: 4 (132 enodes) 44.786 * * [simplify]: iters left: 3 (429 enodes) 45.058 * * [simplify]: Extracting #0: cost 1 inf + 0 45.058 * * [simplify]: Extracting #1: cost 91 inf + 0 45.059 * * [simplify]: Extracting #2: cost 246 inf + 87 45.060 * * [simplify]: Extracting #3: cost 220 inf + 2827 45.065 * * [simplify]: Extracting #4: cost 139 inf + 22133 45.083 * * [simplify]: Extracting #5: cost 13 inf + 55236 45.103 * * [simplify]: Extracting #6: cost 0 inf + 57862 45.117 * * [simplify]: Extracting #7: cost 0 inf + 57822 45.138 * [simplify]: Simplified to (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2)))) 45.138 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (cbrt (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2))))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 45.139 * * * * [progress]: [ 64 / 113 ] simplifiying candidate # 45.139 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2))) 45.139 * * [simplify]: iters left: 6 (11 enodes) 45.146 * * [simplify]: iters left: 5 (51 enodes) 45.168 * * [simplify]: iters left: 4 (123 enodes) 45.233 * * [simplify]: iters left: 3 (378 enodes) 45.555 * * [simplify]: Extracting #0: cost 1 inf + 0 45.555 * * [simplify]: Extracting #1: cost 70 inf + 0 45.557 * * [simplify]: Extracting #2: cost 183 inf + 248 45.560 * * [simplify]: Extracting #3: cost 165 inf + 2757 45.567 * * [simplify]: Extracting #4: cost 101 inf + 18508 45.592 * * [simplify]: Extracting #5: cost 7 inf + 44227 45.623 * * [simplify]: Extracting #6: cost 0 inf + 45950 45.648 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) 45.648 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (cbrt (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 45.649 * * * * [progress]: [ 65 / 113 ] simplifiying candidate # 45.649 * * * * [progress]: [ 66 / 113 ] simplifiying candidate # 45.649 * * * * [progress]: [ 67 / 113 ] simplifiying candidate # 45.649 * * * * [progress]: [ 68 / 113 ] simplifiying candidate # 45.649 * * * * [progress]: [ 69 / 113 ] simplifiying candidate # 45.649 * * * * [progress]: [ 70 / 113 ] simplifiying candidate # 45.649 * [simplify]: Simplifying (* (cbrt J) (cbrt J)) 45.649 * * [simplify]: iters left: 3 (3 enodes) 45.651 * * [simplify]: iters left: 2 (9 enodes) 45.653 * * [simplify]: Extracting #0: cost 1 inf + 0 45.653 * * [simplify]: Extracting #1: cost 3 inf + 0 45.654 * * [simplify]: Extracting #2: cost 5 inf + 0 45.654 * * [simplify]: Extracting #3: cost 4 inf + 1 45.654 * * [simplify]: Extracting #4: cost 0 inf + 405 45.655 * [simplify]: Simplified to (* (cbrt J) (cbrt J)) 45.655 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (cos (/ K 2)) 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 45.655 * * * * [progress]: [ 71 / 113 ] simplifiying candidate # 45.655 * [simplify]: Simplifying (sqrt J) 45.655 * * [simplify]: iters left: 1 (2 enodes) 45.656 * * [simplify]: Extracting #0: cost 1 inf + 0 45.656 * * [simplify]: Extracting #1: cost 3 inf + 0 45.656 * * [simplify]: Extracting #2: cost 2 inf + 1 45.656 * * [simplify]: Extracting #3: cost 0 inf + 83 45.656 * [simplify]: Simplified to (sqrt J) 45.656 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* (sqrt J) (* (sqrt J) (* (cos (/ K 2)) 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 45.656 * * * * [progress]: [ 72 / 113 ] simplifiying candidate # 45.657 * * * * [progress]: [ 73 / 113 ] simplifiying candidate #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))> 45.657 * * * * [progress]: [ 74 / 113 ] simplifiying candidate # 45.657 * * * * [progress]: [ 75 / 113 ] simplifiying candidate # 45.657 * * * * [progress]: [ 76 / 113 ] simplifiying candidate # 45.657 * * * * [progress]: [ 77 / 113 ] simplifiying candidate # 45.657 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))) 45.657 * * [simplify]: iters left: 6 (10 enodes) 45.663 * * [simplify]: iters left: 5 (37 enodes) 45.669 * * [simplify]: iters left: 4 (53 enodes) 45.678 * * [simplify]: iters left: 3 (71 enodes) 45.688 * * [simplify]: iters left: 2 (72 enodes) 45.703 * * [simplify]: Extracting #0: cost 1 inf + 0 45.703 * * [simplify]: Extracting #1: cost 12 inf + 0 45.703 * * [simplify]: Extracting #2: cost 18 inf + 44 45.703 * * [simplify]: Extracting #3: cost 20 inf + 86 45.703 * * [simplify]: Extracting #4: cost 18 inf + 88 45.704 * * [simplify]: Extracting #5: cost 7 inf + 1619 45.705 * * [simplify]: Extracting #6: cost 0 inf + 2780 45.706 * [simplify]: Simplified to (* (* (cos (/ K 2)) -2) J) 45.707 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (pow (* (* (cos (/ K 2)) -2) J) 1))) 45.707 * * * * [progress]: [ 78 / 113 ] simplifiying candidate # 45.707 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))) 45.707 * * [simplify]: iters left: 6 (10 enodes) 45.713 * * [simplify]: iters left: 5 (37 enodes) 45.725 * * [simplify]: iters left: 4 (53 enodes) 45.743 * * [simplify]: iters left: 3 (71 enodes) 45.764 * * [simplify]: iters left: 2 (72 enodes) 45.782 * * [simplify]: Extracting #0: cost 1 inf + 0 45.782 * * [simplify]: Extracting #1: cost 12 inf + 0 45.782 * * [simplify]: Extracting #2: cost 18 inf + 44 45.783 * * [simplify]: Extracting #3: cost 20 inf + 86 45.783 * * [simplify]: Extracting #4: cost 18 inf + 88 45.784 * * [simplify]: Extracting #5: cost 7 inf + 1619 45.785 * * [simplify]: Extracting #6: cost 0 inf + 2780 45.786 * [simplify]: Simplified to (* (* (cos (/ K 2)) -2) J) 45.786 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (pow (* (* (cos (/ K 2)) -2) J) 1))) 45.786 * * * * [progress]: [ 79 / 113 ] simplifiying candidate # 45.787 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))) 45.787 * * [simplify]: iters left: 6 (10 enodes) 45.792 * * [simplify]: iters left: 5 (37 enodes) 45.805 * * [simplify]: iters left: 4 (53 enodes) 45.821 * * [simplify]: iters left: 3 (71 enodes) 45.841 * * [simplify]: iters left: 2 (72 enodes) 45.850 * * [simplify]: Extracting #0: cost 1 inf + 0 45.851 * * [simplify]: Extracting #1: cost 12 inf + 0 45.851 * * [simplify]: Extracting #2: cost 18 inf + 44 45.851 * * [simplify]: Extracting #3: cost 20 inf + 86 45.851 * * [simplify]: Extracting #4: cost 18 inf + 88 45.851 * * [simplify]: Extracting #5: cost 7 inf + 1619 45.852 * * [simplify]: Extracting #6: cost 0 inf + 2780 45.852 * [simplify]: Simplified to (* (* (cos (/ K 2)) -2) J) 45.853 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (pow (* (* (cos (/ K 2)) -2) J) 1))) 45.853 * * * * [progress]: [ 80 / 113 ] simplifiying candidate # 45.853 * * * * [progress]: [ 81 / 113 ] simplifiying candidate # 45.853 * [simplify]: Simplifying (+ (log (sqrt (cos (/ K 2)))) (+ (log (sqrt (cos (/ K 2)))) (+ (log -2) (log J)))) 45.853 * * [simplify]: iters left: 6 (13 enodes) 45.857 * * [simplify]: iters left: 5 (46 enodes) 45.865 * * [simplify]: iters left: 4 (64 enodes) 45.882 * * [simplify]: iters left: 3 (81 enodes) 45.904 * * [simplify]: iters left: 2 (82 enodes) 45.924 * * [simplify]: Extracting #0: cost 1 inf + 0 45.924 * * [simplify]: Extracting #1: cost 12 inf + 0 45.924 * * [simplify]: Extracting #2: cost 25 inf + 0 45.924 * * [simplify]: Extracting #3: cost 22 inf + 215 45.925 * * [simplify]: Extracting #4: cost 21 inf + 650 45.925 * * [simplify]: Extracting #5: cost 24 inf + 650 45.925 * * [simplify]: Extracting #6: cost 22 inf + 652 45.926 * * [simplify]: Extracting #7: cost 15 inf + 1696 45.928 * * [simplify]: Extracting #8: cost 3 inf + 5592 45.930 * * [simplify]: Extracting #9: cost 0 inf + 6712 45.932 * [simplify]: Simplified to (+ (log (sqrt (cos (/ K 2)))) (+ (+ (log J) (log -2)) (log (sqrt (cos (/ K 2)))))) 45.932 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (exp (+ (log (sqrt (cos (/ K 2)))) (+ (+ (log J) (log -2)) (log (sqrt (cos (/ K 2))))))))) 45.933 * * * * [progress]: [ 82 / 113 ] simplifiying candidate # 45.933 * [simplify]: Simplifying (+ (log (sqrt (cos (/ K 2)))) (+ (log (sqrt (cos (/ K 2)))) (log (* -2 J)))) 45.933 * * [simplify]: iters left: 6 (12 enodes) 45.939 * * [simplify]: iters left: 5 (44 enodes) 45.954 * * [simplify]: iters left: 4 (58 enodes) 45.971 * * [simplify]: iters left: 3 (75 enodes) 45.994 * * [simplify]: iters left: 2 (89 enodes) 46.021 * * [simplify]: iters left: 1 (90 enodes) 46.034 * * [simplify]: Extracting #0: cost 1 inf + 0 46.034 * * [simplify]: Extracting #1: cost 12 inf + 0 46.034 * * [simplify]: Extracting #2: cost 26 inf + 0 46.034 * * [simplify]: Extracting #3: cost 22 inf + 369 46.035 * * [simplify]: Extracting #4: cost 21 inf + 594 46.035 * * [simplify]: Extracting #5: cost 24 inf + 594 46.035 * * [simplify]: Extracting #6: cost 22 inf + 596 46.035 * * [simplify]: Extracting #7: cost 16 inf + 1238 46.036 * * [simplify]: Extracting #8: cost 4 inf + 4994 46.037 * * [simplify]: Extracting #9: cost 0 inf + 6376 46.039 * [simplify]: Simplified to (+ (+ (log (sqrt (cos (/ K 2)))) (log (* J -2))) (log (sqrt (cos (/ K 2))))) 46.039 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (exp (+ (+ (log (sqrt (cos (/ K 2)))) (log (* J -2))) (log (sqrt (cos (/ K 2)))))))) 46.039 * * * * [progress]: [ 83 / 113 ] simplifiying candidate # 46.039 * [simplify]: Simplifying (+ (log (sqrt (cos (/ K 2)))) (log (* (sqrt (cos (/ K 2))) (* -2 J)))) 46.039 * * [simplify]: iters left: 6 (12 enodes) 46.043 * * [simplify]: iters left: 5 (43 enodes) 46.051 * * [simplify]: iters left: 4 (62 enodes) 46.064 * * [simplify]: iters left: 3 (83 enodes) 46.077 * * [simplify]: iters left: 2 (110 enodes) 46.094 * * [simplify]: iters left: 1 (117 enodes) 46.115 * * [simplify]: Extracting #0: cost 1 inf + 0 46.116 * * [simplify]: Extracting #1: cost 12 inf + 0 46.116 * * [simplify]: Extracting #2: cost 29 inf + 0 46.116 * * [simplify]: Extracting #3: cost 30 inf + 186 46.116 * * [simplify]: Extracting #4: cost 28 inf + 482 46.117 * * [simplify]: Extracting #5: cost 30 inf + 594 46.117 * * [simplify]: Extracting #6: cost 28 inf + 596 46.118 * * [simplify]: Extracting #7: cost 20 inf + 1674 46.119 * * [simplify]: Extracting #8: cost 8 inf + 4772 46.122 * * [simplify]: Extracting #9: cost 0 inf + 7206 46.125 * * [simplify]: Extracting #10: cost 0 inf + 7136 46.128 * [simplify]: Simplified to (+ (log (* (sqrt (cos (/ K 2))) (* J -2))) (log (sqrt (cos (/ K 2))))) 46.129 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (exp (+ (log (* (sqrt (cos (/ K 2))) (* J -2))) (log (sqrt (cos (/ K 2)))))))) 46.129 * * * * [progress]: [ 84 / 113 ] simplifiying candidate # 46.129 * * * * [progress]: [ 85 / 113 ] simplifiying candidate # 46.129 * * * * [progress]: [ 86 / 113 ] simplifiying candidate # 46.129 * [simplify]: Simplifying (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J)))) 46.130 * * [simplify]: iters left: 6 (16 enodes) 46.141 * * [simplify]: iters left: 5 (66 enodes) 46.167 * * [simplify]: iters left: 4 (181 enodes) 46.256 * * [simplify]: Extracting #0: cost 1 inf + 0 46.257 * * [simplify]: Extracting #1: cost 48 inf + 0 46.257 * * [simplify]: Extracting #2: cost 163 inf + 329 46.258 * * [simplify]: Extracting #3: cost 165 inf + 1234 46.260 * * [simplify]: Extracting #4: cost 134 inf + 5728 46.265 * * [simplify]: Extracting #5: cost 59 inf + 24349 46.274 * * [simplify]: Extracting #6: cost 3 inf + 40712 46.286 * * [simplify]: Extracting #7: cost 0 inf + 41622 46.310 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2)))) (* J J)) (* -8 J)) 46.310 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cbrt (* (* (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2)))) (* J J)) (* -8 J))))) 46.310 * * * * [progress]: [ 87 / 113 ] simplifiying candidate # 46.311 * [simplify]: Simplifying (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) 46.311 * * [simplify]: iters left: 6 (14 enodes) 46.319 * * [simplify]: iters left: 5 (63 enodes) 46.346 * * [simplify]: iters left: 4 (175 enodes) 46.449 * * [simplify]: Extracting #0: cost 1 inf + 0 46.449 * * [simplify]: Extracting #1: cost 44 inf + 0 46.450 * * [simplify]: Extracting #2: cost 161 inf + 45 46.452 * * [simplify]: Extracting #3: cost 158 inf + 1940 46.455 * * [simplify]: Extracting #4: cost 133 inf + 5870 46.465 * * [simplify]: Extracting #5: cost 55 inf + 27101 46.484 * * [simplify]: Extracting #6: cost 4 inf + 40943 46.504 * * [simplify]: Extracting #7: cost 0 inf + 42239 46.524 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (* -2 J)) (* (* -2 J) (* -2 J))) (* (cos (/ K 2)) (cos (/ K 2)))) 46.524 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cbrt (* (* (* (cos (/ K 2)) (* -2 J)) (* (* -2 J) (* -2 J))) (* (cos (/ K 2)) (cos (/ K 2))))))) 46.525 * * * * [progress]: [ 88 / 113 ] simplifiying candidate # 46.525 * [simplify]: Simplifying (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* (sqrt (cos (/ K 2))) (* -2 J)) (* (sqrt (cos (/ K 2))) (* -2 J))) (* (sqrt (cos (/ K 2))) (* -2 J)))) 46.525 * * [simplify]: iters left: 6 (14 enodes) 46.533 * * [simplify]: iters left: 5 (59 enodes) 46.563 * * [simplify]: iters left: 4 (186 enodes) 46.678 * * [simplify]: Extracting #0: cost 1 inf + 0 46.679 * * [simplify]: Extracting #1: cost 45 inf + 0 46.679 * * [simplify]: Extracting #2: cost 189 inf + 44 46.680 * * [simplify]: Extracting #3: cost 195 inf + 1085 46.681 * * [simplify]: Extracting #4: cost 169 inf + 4938 46.690 * * [simplify]: Extracting #5: cost 92 inf + 24568 46.714 * * [simplify]: Extracting #6: cost 2 inf + 51090 46.732 * * [simplify]: Extracting #7: cost 0 inf + 51657 46.746 * [simplify]: Simplified to (* (* (* -2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))))) 46.746 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))))))) 46.746 * * * * [progress]: [ 89 / 113 ] simplifiying candidate # 46.746 * * * * [progress]: [ 90 / 113 ] simplifiying candidate # 46.746 * * * * [progress]: [ 91 / 113 ] simplifiying candidate # 46.746 * * * * [progress]: [ 92 / 113 ] simplifiying candidate # 46.746 * * * * [progress]: [ 93 / 113 ] simplifiying candidate # 46.746 * [simplify]: Simplifying (* -2 J) 46.747 * * [simplify]: iters left: 2 (3 enodes) 46.748 * * [simplify]: iters left: 1 (10 enodes) 46.749 * * [simplify]: Extracting #0: cost 1 inf + 0 46.749 * * [simplify]: Extracting #1: cost 4 inf + 0 46.749 * * [simplify]: Extracting #2: cost 2 inf + 2 46.750 * * [simplify]: Extracting #3: cost 0 inf + 86 46.750 * [simplify]: Simplified to (* -2 J) 46.750 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (* -2 J)))) 46.750 * * * * [progress]: [ 94 / 113 ] simplifiying candidate # 46.750 * [simplify]: Simplifying (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))) 46.750 * * [simplify]: iters left: 6 (7 enodes) 46.752 * * [simplify]: iters left: 5 (21 enodes) 46.755 * * [simplify]: Extracting #0: cost 1 inf + 0 46.755 * * [simplify]: Extracting #1: cost 3 inf + 0 46.755 * * [simplify]: Extracting #2: cost 5 inf + 0 46.755 * * [simplify]: Extracting #3: cost 7 inf + 0 46.755 * * [simplify]: Extracting #4: cost 9 inf + 0 46.755 * * [simplify]: Extracting #5: cost 12 inf + 0 46.755 * * [simplify]: Extracting #6: cost 10 inf + 2 46.756 * * [simplify]: Extracting #7: cost 1 inf + 1280 46.756 * * [simplify]: Extracting #8: cost 0 inf + 1542 46.756 * [simplify]: Simplified to (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))) 46.756 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (* -2 J)))))) 46.756 * * * * [progress]: [ 95 / 113 ] simplifiying candidate # 46.756 * [simplify]: Simplifying (sqrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 46.757 * * [simplify]: iters left: 6 (7 enodes) 46.758 * * [simplify]: iters left: 5 (22 enodes) 46.762 * * [simplify]: Extracting #0: cost 1 inf + 0 46.762 * * [simplify]: Extracting #1: cost 4 inf + 0 46.762 * * [simplify]: Extracting #2: cost 7 inf + 0 46.762 * * [simplify]: Extracting #3: cost 9 inf + 0 46.762 * * [simplify]: Extracting #4: cost 12 inf + 0 46.762 * * [simplify]: Extracting #5: cost 8 inf + 86 46.762 * * [simplify]: Extracting #6: cost 1 inf + 1320 46.762 * * [simplify]: Extracting #7: cost 0 inf + 1542 46.763 * [simplify]: Simplified to (fabs (cbrt (cos (/ K 2)))) 46.763 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (fabs (cbrt (cos (/ K 2)))) (* (sqrt (cbrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (* -2 J)))))) 46.763 * * * * [progress]: [ 96 / 113 ] simplifiying candidate # 46.763 * [simplify]: Simplifying (sqrt (sqrt (cos (/ K 2)))) 46.763 * * [simplify]: iters left: 5 (6 enodes) 46.765 * * [simplify]: iters left: 4 (18 enodes) 46.768 * * [simplify]: Extracting #0: cost 1 inf + 0 46.768 * * [simplify]: Extracting #1: cost 3 inf + 0 46.768 * * [simplify]: Extracting #2: cost 5 inf + 0 46.768 * * [simplify]: Extracting #3: cost 7 inf + 0 46.768 * * [simplify]: Extracting #4: cost 10 inf + 0 46.768 * * [simplify]: Extracting #5: cost 8 inf + 2 46.768 * * [simplify]: Extracting #6: cost 0 inf + 938 46.769 * [simplify]: Simplified to (sqrt (sqrt (cos (/ K 2)))) 46.769 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (sqrt (sqrt (cos (/ K 2)))) (* (sqrt (sqrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (* -2 J)))))) 46.769 * * * * [progress]: [ 97 / 113 ] simplifiying candidate # 46.769 * [simplify]: Simplifying (sqrt 1) 46.769 * * [simplify]: iters left: 1 (2 enodes) 46.772 * * [simplify]: Extracting #0: cost 1 inf + 0 46.772 * * [simplify]: Extracting #1: cost 0 inf + 1 46.773 * [simplify]: Simplified to 1 46.773 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* 1 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))) 46.773 * * * * [progress]: [ 98 / 113 ] simplifiying candidate # 46.773 * [simplify]: Simplifying (sqrt (sqrt (cos (/ K 2)))) 46.773 * * [simplify]: iters left: 5 (6 enodes) 46.776 * * [simplify]: iters left: 4 (18 enodes) 46.782 * * [simplify]: Extracting #0: cost 1 inf + 0 46.782 * * [simplify]: Extracting #1: cost 3 inf + 0 46.782 * * [simplify]: Extracting #2: cost 5 inf + 0 46.782 * * [simplify]: Extracting #3: cost 7 inf + 0 46.782 * * [simplify]: Extracting #4: cost 10 inf + 0 46.782 * * [simplify]: Extracting #5: cost 8 inf + 2 46.782 * * [simplify]: Extracting #6: cost 0 inf + 938 46.783 * [simplify]: Simplified to (sqrt (sqrt (cos (/ K 2)))) 46.783 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (sqrt (sqrt (cos (/ K 2)))) (* (sqrt (sqrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (* -2 J)))))) 46.783 * * * * [progress]: [ 99 / 113 ] simplifiying candidate # 46.783 * * * * [progress]: [ 100 / 113 ] simplifiying candidate #real (real->posit16 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))))> 46.783 * * * * [progress]: [ 101 / 113 ] simplifiying candidate # 46.783 * * * * [progress]: [ 102 / 113 ] simplifiying candidate # 46.783 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 46.784 * * [simplify]: iters left: 6 (10 enodes) 46.790 * * [simplify]: iters left: 5 (44 enodes) 46.801 * * [simplify]: iters left: 4 (83 enodes) 46.815 * * [simplify]: iters left: 3 (132 enodes) 46.837 * * [simplify]: iters left: 2 (186 enodes) 46.881 * * [simplify]: iters left: 1 (263 enodes) 46.970 * * [simplify]: Extracting #0: cost 1 inf + 0 46.970 * * [simplify]: Extracting #1: cost 23 inf + 0 46.970 * * [simplify]: Extracting #2: cost 44 inf + 89 46.972 * * [simplify]: Extracting #3: cost 21 inf + 2920 46.973 * * [simplify]: Extracting #4: cost 0 inf + 4598 46.975 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 46.975 * [simplify]: Simplified (2) to (λ (J K U) (fma (/ -1/4 J) (* U U) (* J -2))) 46.975 * * * * [progress]: [ 103 / 113 ] simplifiying candidate # 46.975 * [simplify]: Simplifying (* -1 U) 46.976 * * [simplify]: iters left: 2 (3 enodes) 46.977 * * [simplify]: iters left: 1 (11 enodes) 46.978 * * [simplify]: Extracting #0: cost 1 inf + 0 46.978 * * [simplify]: Extracting #1: cost 4 inf + 0 46.978 * * [simplify]: Extracting #2: cost 0 inf + 84 46.978 * [simplify]: Simplified to (- U) 46.978 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 46.979 * * * * [progress]: [ 104 / 113 ] simplifiying candidate # 46.979 * [simplify]: Simplifying (* -1 U) 46.979 * * [simplify]: iters left: 2 (3 enodes) 46.980 * * [simplify]: iters left: 1 (11 enodes) 46.981 * * [simplify]: Extracting #0: cost 1 inf + 0 46.981 * * [simplify]: Extracting #1: cost 4 inf + 0 46.981 * * [simplify]: Extracting #2: cost 0 inf + 84 46.981 * [simplify]: Simplified to (- U) 46.981 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 46.981 * * * * [progress]: [ 105 / 113 ] simplifiying candidate # 46.982 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 46.982 * * [simplify]: iters left: 6 (13 enodes) 46.986 * * [simplify]: iters left: 5 (55 enodes) 46.995 * * [simplify]: iters left: 4 (92 enodes) 47.020 * * [simplify]: iters left: 3 (155 enodes) 47.072 * * [simplify]: iters left: 2 (238 enodes) 47.126 * * [simplify]: iters left: 1 (367 enodes) 47.234 * * [simplify]: Extracting #0: cost 1 inf + 0 47.234 * * [simplify]: Extracting #1: cost 33 inf + 0 47.234 * * [simplify]: Extracting #2: cost 65 inf + 129 47.235 * * [simplify]: Extracting #3: cost 50 inf + 2235 47.239 * * [simplify]: Extracting #4: cost 4 inf + 6690 47.244 * * [simplify]: Extracting #5: cost 0 inf + 7294 47.250 * [simplify]: Simplified to (* (/ U J) (+ (* (* K K) 1/16) 1/2)) 47.250 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (* (/ U J) (+ (* (* K K) 1/16) 1/2))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 47.250 * * * * [progress]: [ 106 / 113 ] simplifiying candidate # 47.251 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 47.251 * * [simplify]: iters left: 6 (9 enodes) 47.255 * * [simplify]: iters left: 5 (34 enodes) 47.267 * * [simplify]: iters left: 4 (56 enodes) 47.285 * * [simplify]: iters left: 3 (90 enodes) 47.316 * * [simplify]: iters left: 2 (114 enodes) 47.348 * * [simplify]: iters left: 1 (131 enodes) 47.382 * * [simplify]: Extracting #0: cost 1 inf + 0 47.382 * * [simplify]: Extracting #1: cost 22 inf + 0 47.383 * * [simplify]: Extracting #2: cost 37 inf + 3 47.383 * * [simplify]: Extracting #3: cost 31 inf + 380 47.383 * * [simplify]: Extracting #4: cost 17 inf + 1834 47.385 * * [simplify]: Extracting #5: cost 3 inf + 4117 47.386 * * [simplify]: Extracting #6: cost 0 inf + 4586 47.387 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 47.387 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 47.387 * * * * [progress]: [ 107 / 113 ] simplifiying candidate # 47.388 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 47.388 * * [simplify]: iters left: 6 (9 enodes) 47.390 * * [simplify]: iters left: 5 (34 enodes) 47.396 * * [simplify]: iters left: 4 (56 enodes) 47.411 * * [simplify]: iters left: 3 (90 enodes) 47.440 * * [simplify]: iters left: 2 (114 enodes) 47.463 * * [simplify]: iters left: 1 (131 enodes) 47.484 * * [simplify]: Extracting #0: cost 1 inf + 0 47.484 * * [simplify]: Extracting #1: cost 22 inf + 0 47.485 * * [simplify]: Extracting #2: cost 37 inf + 3 47.485 * * [simplify]: Extracting #3: cost 31 inf + 380 47.486 * * [simplify]: Extracting #4: cost 17 inf + 1834 47.488 * * [simplify]: Extracting #5: cost 3 inf + 4117 47.490 * * [simplify]: Extracting #6: cost 0 inf + 4586 47.492 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 47.492 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 47.493 * * * * [progress]: [ 108 / 113 ] simplifiying candidate # 47.493 * [simplify]: Simplifying (* 2 J) 47.493 * * [simplify]: iters left: 2 (3 enodes) 47.495 * * [simplify]: iters left: 1 (10 enodes) 47.497 * * [simplify]: Extracting #0: cost 1 inf + 0 47.497 * * [simplify]: Extracting #1: cost 4 inf + 0 47.497 * * [simplify]: Extracting #2: cost 2 inf + 2 47.497 * * [simplify]: Extracting #3: cost 0 inf + 86 47.497 * [simplify]: Simplified to (* 2 J) 47.497 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* 2 J))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 47.497 * * * * [progress]: [ 109 / 113 ] simplifiying candidate # 47.497 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 47.498 * * [simplify]: iters left: 6 (8 enodes) 47.500 * * [simplify]: iters left: 5 (29 enodes) 47.505 * * [simplify]: iters left: 4 (37 enodes) 47.511 * * [simplify]: iters left: 3 (42 enodes) 47.518 * * [simplify]: Extracting #0: cost 1 inf + 0 47.518 * * [simplify]: Extracting #1: cost 8 inf + 0 47.518 * * [simplify]: Extracting #2: cost 11 inf + 2 47.518 * * [simplify]: Extracting #3: cost 13 inf + 44 47.518 * * [simplify]: Extracting #4: cost 9 inf + 130 47.519 * * [simplify]: Extracting #5: cost 1 inf + 1132 47.519 * * [simplify]: Extracting #6: cost 0 inf + 1316 47.519 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 47.520 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* (* (cos (* K 1/2)) 2) J))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 47.520 * * * * [progress]: [ 110 / 113 ] simplifiying candidate # 47.520 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 47.520 * * [simplify]: iters left: 6 (8 enodes) 47.523 * * [simplify]: iters left: 5 (29 enodes) 47.532 * * [simplify]: iters left: 4 (37 enodes) 47.542 * * [simplify]: iters left: 3 (42 enodes) 47.549 * * [simplify]: Extracting #0: cost 1 inf + 0 47.549 * * [simplify]: Extracting #1: cost 8 inf + 0 47.549 * * [simplify]: Extracting #2: cost 11 inf + 2 47.549 * * [simplify]: Extracting #3: cost 13 inf + 44 47.549 * * [simplify]: Extracting #4: cost 9 inf + 130 47.550 * * [simplify]: Extracting #5: cost 1 inf + 1132 47.550 * * [simplify]: Extracting #6: cost 0 inf + 1316 47.550 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 47.550 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* (* (cos (* K 1/2)) 2) J))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 47.550 * * * * [progress]: [ 111 / 113 ] simplifiying candidate # 47.550 * [simplify]: Simplifying (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 47.551 * * [simplify]: iters left: 6 (9 enodes) 47.554 * * [simplify]: iters left: 5 (40 enodes) 47.562 * * [simplify]: iters left: 4 (72 enodes) 47.582 * * [simplify]: iters left: 3 (117 enodes) 47.620 * * [simplify]: iters left: 2 (134 enodes) 47.658 * * [simplify]: iters left: 1 (136 enodes) 47.684 * * [simplify]: Extracting #0: cost 1 inf + 0 47.684 * * [simplify]: Extracting #1: cost 19 inf + 0 47.684 * * [simplify]: Extracting #2: cost 20 inf + 295 47.684 * * [simplify]: Extracting #3: cost 1 inf + 1761 47.685 * * [simplify]: Extracting #4: cost 0 inf + 1803 47.686 * [simplify]: Simplified to (* J (fma 1/4 (* K K) -2)) 47.686 * [simplify]: Simplified (2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* J (fma 1/4 (* K K) -2)))) 47.686 * * * * [progress]: [ 112 / 113 ] simplifiying candidate # 47.686 * [simplify]: Simplifying (* -2 (* (cos (* 1/2 K)) J)) 47.686 * * [simplify]: iters left: 6 (8 enodes) 47.689 * * [simplify]: iters left: 5 (29 enodes) 47.694 * * [simplify]: iters left: 4 (37 enodes) 47.700 * * [simplify]: iters left: 3 (42 enodes) 47.706 * * [simplify]: Extracting #0: cost 1 inf + 0 47.706 * * [simplify]: Extracting #1: cost 8 inf + 0 47.706 * * [simplify]: Extracting #2: cost 11 inf + 2 47.706 * * [simplify]: Extracting #3: cost 13 inf + 44 47.706 * * [simplify]: Extracting #4: cost 9 inf + 130 47.706 * * [simplify]: Extracting #5: cost 1 inf + 1132 47.706 * * [simplify]: Extracting #6: cost 0 inf + 1316 47.707 * [simplify]: Simplified to (* (* (cos (* K 1/2)) -2) J) 47.707 * [simplify]: Simplified (2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (cos (* K 1/2)) -2) J))) 47.707 * * * * [progress]: [ 113 / 113 ] simplifiying candidate # 47.707 * [simplify]: Simplifying (* -2 (* (cos (* 1/2 K)) J)) 47.707 * * [simplify]: iters left: 6 (8 enodes) 47.710 * * [simplify]: iters left: 5 (29 enodes) 47.715 * * [simplify]: iters left: 4 (37 enodes) 47.725 * * [simplify]: iters left: 3 (42 enodes) 47.730 * * [simplify]: Extracting #0: cost 1 inf + 0 47.730 * * [simplify]: Extracting #1: cost 8 inf + 0 47.731 * * [simplify]: Extracting #2: cost 11 inf + 2 47.731 * * [simplify]: Extracting #3: cost 13 inf + 44 47.731 * * [simplify]: Extracting #4: cost 9 inf + 130 47.731 * * [simplify]: Extracting #5: cost 1 inf + 1132 47.731 * * [simplify]: Extracting #6: cost 0 inf + 1316 47.732 * [simplify]: Simplified to (* (* (cos (* K 1/2)) -2) J) 47.732 * [simplify]: Simplified (2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (cos (* K 1/2)) -2) J))) 47.732 * * * [progress]: adding candidates to table 49.400 * [progress]: [Phase 3 of 3] Extracting. 49.400 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 49.402 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 49.402 * * * * [regimes]: Trying to branch on U from (# # # # # # # # #) 49.482 * * * * [regimes]: Trying to branch on K from (# # # # # # # # #) 49.562 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # #) 49.676 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # #) 49.774 * * * * [regimes]: Trying to branch on J from (# # # # # # # # #) 49.829 * * * [regime]: Found split indices: #