* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (exp (- l (fabs (- m n)))) (cos (- (/ (+ m n) (/ 2 K)) M)))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in l * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in l * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in l * [misc]taylor: Taking taylor expansion of (+ m n) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) (- M)) into (- (+ (* 1/2 n) (* 1/2 m)) M) * [misc]backup-simplify: Simplify (log (- (+ (* 1/2 n) (* 1/2 m)) M)) into (log (- (+ (* 1/2 n) (* 1/2 m)) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (+ (* 1/2 n) (* 1/2 m)) M))) into (* 2 (log (- (+ (* 1/2 n) (* 1/2 m)) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (+ (* 1/2 n) (* 1/2 m)) M)))) into (pow (- (+ (* 1/2 n) (* 1/2 m)) M) 2) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 n) (* 1/2 m))) into (log (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) into (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 n) (* 1/2 m))))) into (pow (+ (* 1/2 n) (* 1/2 m)) 2) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 m) M)) into (log (- (* 1/2 m) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 m) M))) into (* 2 (log (- (* 1/2 m) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 m) M)))) into (pow (- (* 1/2 m) M) 2) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (pow (- (* 1/2 n) M) 2)) into (- (* M n) (+ (* 1/4 (pow n 2)) (pow M 2))) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]backup-simplify: Simplify (- (- l (fabs (- m n)))) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (+ (- (* M n) (+ (* 1/4 (pow n 2)) (pow M 2))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (* M n)) (+ l (+ (* 1/4 (pow n 2)) (pow M 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ l (+ (* 1/4 (pow n 2)) (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (fabs (- m n)) (* M n)) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ l (+ (* 1/4 (pow n 2)) (pow M 2))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (pow n 2)) (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (+ 0 (pow M 2)) into (pow M 2) * [misc]backup-simplify: Simplify (+ l (pow M 2)) into (+ l (pow M 2)) * [misc]backup-simplify: Simplify (- (+ l (pow M 2))) into (- (+ l (pow M 2))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (pow M 2)))) into (- (fabs (- m n)) (+ l (pow M 2))) * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ l (pow M 2))) in M * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (+ l (pow M 2)) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (+ l 0) into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- l)) into (- (fabs (- m n)) l) * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) l) in l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- (* 1/2 n) M) 1)))) 1) into (/ 1/2 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M)))) into (/ 1 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 1) 1)))) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (- (- (* 1/2 n) M)) into (- M (* 1/2 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- M (* 1/2 n)) 0) into (- M (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- M (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow M 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log M))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (- (* 1/2 n) M) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 n) M) 1)))) 2) into (/ -1/8 (pow (- (* 1/2 n) M) 2)) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/8 (pow (- (* 1/2 n) M) 2))) (+ (* 0 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M))))) into (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) 1) 1)))) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in n * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in M * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in l * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (+ (* -1 (* l (* 1 (* 1 1)))) (fabs (- m n)))) into (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))) * [misc]approximate: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in l * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in l * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in l * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) (- (/ 1 M))) into (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) * [misc]backup-simplify: Simplify (log (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))) into (log (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))) * [misc]backup-simplify: Simplify (* 2 (log (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)))) into (* 2 (log (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))))) into (pow (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) 2) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) (log -1)) into (- (log -1) (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log M))) into (* 2 (- (log -1) (log M))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log M)))) into (exp (* 2 (- (log -1) (log M)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 1/2)) into (- (log 1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log n))) into (* 2 (- (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log n)))) into (exp (* 2 (- (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (- (exp (* 2 (- (log 1/2) (log m))))) into (- (exp (* 2 (- (log 1/2) (log m))))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (+ (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (- (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) into (- (fabs (- (/ 1 m) (/ 1 n))) (/ 1 l)) * [misc]backup-simplify: Simplify (+ (- (exp (* 2 (- (log 1/2) (log m))))) (- (fabs (- (/ 1 m) (/ 1 n))) (/ 1 l))) into (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) into (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) * [misc]backup-simplify: Simplify (- (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) into (- (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 m) (/ 1 n))) (- (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)))) into (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (/ 1 l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) into (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) * [misc]backup-simplify: Simplify (- (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) into (- (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 m) (/ 1 n))) (- (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)))) into (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in l * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in l * [misc]taylor: Taking taylor expansion of (log 1/2) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 1)) (pow 1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]backup-simplify: Simplify (- (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m)))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log 1/2) (log m)))) n))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log 1/2) (log m)))) n))) 0) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log 1/2) (log m)))) n))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log 1/2) (log m)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) M) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) M) into (/ (exp (* 2 (- (log 1/2) (log m)))) M) * [misc]taylor: Taking taylor expansion of (* 2 (/ (exp (* 2 (- (log 1/2) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) 0) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (log 1/2) (log m)))) 0) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (- (exp (* 2 (- (log 1/2) (log m))))) into (- (exp (* 2 (- (log 1/2) (log m))))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 m) (/ 1 n))) (- (exp (* 2 (- (log 1/2) (log m)))))) into (- (fabs (- (/ 1 m) (/ 1 n))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n))) (exp (* 2 (- (log 1/2) (log m))))) into (- (fabs (- (/ 1 m) (/ 1 n))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]backup-simplify: Simplify (- (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m)))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log 1/2) (log m)))) (pow n 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log 1/2) (log m)))) (pow n 2)))) 0) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log 1/2) (log m)))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log 1/2) (log m)))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (* M n)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) M) into (/ (exp (* 2 (- (log 1/2) (log m)))) M) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log 1/2) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) into (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log 1/2) (log m)))) M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) 0) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) * [misc]backup-simplify: Simplify (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log 1/2) (log m)))) M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into (* 1/6 (- (+ (* 2 (/ 1 (pow n 3))) (* 24 (/ 1 (* (pow M 2) n)))) (+ (* 16 (/ 1 (pow M 3))) (* 12 (/ 1 (* M (pow n 2))))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/6 (- (+ (* 2 (/ 1 (pow n 3))) (* 24 (/ 1 (* (pow M 2) n)))) (+ (* 16 (/ 1 (pow M 3))) (* 12 (/ 1 (* M (pow n 2)))))))) (+ (* 0 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m)))))) into (- (+ (* 2/3 (/ 1 (pow n 3))) (* 8 (/ 1 (* (pow M 2) n)))) (+ (* 16/3 (/ 1 (pow M 3))) (* 4 (/ 1 (* M (pow n 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1) (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)) (* (/ (pow (- (+ (* 2/3 (/ 1 (pow n 3))) (* 8 (/ 1 (* (pow M 2) n)))) (+ (* 16/3 (/ 1 (pow M 3))) (* 4 (/ 1 (* M (pow n 2)))))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log 1/2) (log m)))) M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (exp (* 2 (- (log 1/2) (log m)))) M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow M 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log M))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow M 2)) (+ (* (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) (/ 0 (pow M 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log 1/2) (log m)))) M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (exp (* 2 (- (log 1/2) (log m)))) M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (fabs (- (/ 1 m) (/ 1 n))) (exp (* 2 (- (log 1/2) (log m))))) (* -1 (* (/ 1 (/ 1 l)) (* 1 (* 1 1))))) into (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) l)) * [misc]approximate: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in l * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in l * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (/ 1 n) (/ 1 m))) (/ 1 M)) into (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) * [misc]backup-simplify: Simplify (log (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))) into (log (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))) * [misc]backup-simplify: Simplify (* 2 (log (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))))) into (* 2 (log (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) 2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) 0) into (- (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log M))) into (* -2 (log M)) * [misc]backup-simplify: Simplify (exp (* -2 (log M))) into (pow M -2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in M * [misc]taylor: Taking taylor expansion of (- l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1/2)) into (- (log -1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log n))) into (* 2 (- (log -1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log n)))) into (exp (* 2 (- (log -1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in n * [misc]taylor: Taking taylor expansion of (- l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in m * [misc]taylor: Taking taylor expansion of (- l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in m * [misc]taylor: Taking taylor expansion of (- l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (exp (* 2 (- (log -1/2) (log m))))) into (- (exp (* 2 (- (log -1/2) (log m))))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (/ -1 l) (- (fabs (- (/ 1 n) (/ 1 m))))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) * [misc]backup-simplify: Simplify (- (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)))) into (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (- (exp (* 2 (- (log -1/2) (log m))))) (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m))))) into (- (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) (exp (* 2 (- (log -1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) (exp (* 2 (- (log -1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) into (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) * [misc]backup-simplify: Simplify (- (exp (* 2 (- (log -1/2) (log m))))) into (- (exp (* 2 (- (log -1/2) (log m))))) * [misc]backup-simplify: Simplify (+ (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) (- (exp (* 2 (- (log -1/2) (log m)))))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) (exp (* 2 (- (log -1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) (exp (* 2 (- (log -1/2) (log m))))) in M * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) into (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (- (exp (* 2 (- (log -1/2) (log m))))) into (- (exp (* 2 (- (log -1/2) (log m))))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) (- (exp (* 2 (- (log -1/2) (log m)))))) into (- (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) (exp (* 2 (- (log -1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) (exp (* 2 (- (log -1/2) (log m))))) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in l * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in l * [misc]taylor: Taking taylor expansion of (log -1/2) in l * [misc]taylor: Taking taylor expansion of -1/2 in l * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 1)) (pow -1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) * [misc]backup-simplify: Simplify (- (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M))))) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log -1/2) (log m)))) n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log -1/2) (log m)))) n))) 0) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log -1/2) (log m)))) n))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log -1/2) (log m)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) M) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) M) into (/ (exp (* 2 (- (log -1/2) (log m)))) M) * [misc]taylor: Taking taylor expansion of (* 2 (/ (exp (* 2 (- (log -1/2) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) 0) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (fabs (- (/ 1 n) (/ 1 m)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (exp (* 2 (- (log -1/2) (log m))))) into (- (exp (* 2 (- (log -1/2) (log m))))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (- (exp (* 2 (- (log -1/2) (log m)))))) into (- (fabs (- (/ 1 n) (/ 1 m))) (exp (* 2 (- (log -1/2) (log m))))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m))) (exp (* 2 (- (log -1/2) (log m))))) into (- (fabs (- (/ 1 n) (/ 1 m))) (exp (* 2 (- (log -1/2) (log m))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) * [misc]backup-simplify: Simplify (- (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))))) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log -1/2) (log m)))) (pow n 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log -1/2) (log m)))) (pow n 2)))) 0) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log -1/2) (log m)))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log -1/2) (log m)))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (* M n)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) M) into (/ (exp (* 2 (- (log -1/2) (log m)))) M) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log -1/2) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) into (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log -1/2) (log m)))) M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) 0) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) * [misc]backup-simplify: Simplify (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)))) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))))) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log -1/2) (log m)))) M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into (* 1/6 (- (+ (* 2 (/ 1 (pow n 3))) (* 24 (/ 1 (* (pow M 2) n)))) (+ (* 16 (/ 1 (pow M 3))) (* 12 (/ 1 (* M (pow n 2))))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/6 (- (+ (* 2 (/ 1 (pow n 3))) (* 24 (/ 1 (* (pow M 2) n)))) (+ (* 16 (/ 1 (pow M 3))) (* 12 (/ 1 (* M (pow n 2)))))))) (+ (* 0 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m)))))) into (- (+ (* 2/3 (/ 1 (pow n 3))) (* 8 (/ 1 (* (pow M 2) n)))) (+ (* 16/3 (/ 1 (pow M 3))) (* 4 (/ 1 (* M (pow n 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1) (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)) (* (/ (pow (- (+ (* 2/3 (/ 1 (pow n 3))) (* 8 (/ 1 (* (pow M 2) n)))) (+ (* 16/3 (/ 1 (pow M 3))) (* 4 (/ 1 (* M (pow n 2)))))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log -1/2) (log m)))) M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (exp (* 2 (- (log -1/2) (log m)))) M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow M 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log M))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow M 2)) (+ (* (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) (/ 0 (pow M 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log -1/2) (log m)))) M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (exp (* 2 (- (log -1/2) (log m)))) M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (fabs (- (/ 1 n) (/ 1 m))) (exp (* 2 (- (log -1/2) (log m))))) (* 1 (* (/ 1 (/ 1 (- l))) (* 1 (* 1 1))))) into (- (fabs (- (/ 1 n) (/ 1 m))) (+ (exp (* 2 (- (log -1/2) (log m)))) l)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 n) (* 1/2 m))) into (log (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) into (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 n) (* 1/2 m))))) into (pow (+ (* 1/2 n) (* 1/2 m)) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 m) M)) into (log (- (* 1/2 m) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 m) M))) into (* 2 (log (- (* 1/2 m) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 m) M)))) into (pow (- (* 1/2 m) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (* 1/2 n) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (* 1/2 n) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 n) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (log (- M)) into (log (- M)) * [misc]backup-simplify: Simplify (* 2 (log (- M))) into (* 2 (log (- M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- M)))) into (pow (- M) 2) * [misc]taylor: Taking taylor expansion of (pow (- M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (* 2 (+ (log M) (log -1))) into (* 2 (+ (log M) (log -1))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- (* 1/2 n) M) 1)))) 1) into (/ 1/2 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M)))) into (/ 1 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 1) 1)))) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- M) 1)))) 1) into (/ -1/2 M) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/2 M)) (* 0 (log (- M)))) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- M)))) (+ (* (/ (pow (- (/ 1 M)) 1) 1)))) into (* -1 M) * [misc]taylor: Taking taylor expansion of (* -1 M) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log M) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log M) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (- (* 1/2 n) M) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 n) M) 1)))) 2) into (/ -1/8 (pow (- (* 1/2 n) M) 2)) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/8 (pow (- (* 1/2 n) M) 2))) (+ (* 0 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M))))) into (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) 1) 1)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n m))) (+ (* 1/4 (pow (* 1 (* 1 m)) 2)) (exp (* 2 (+ (log M) (log -1)))))) into (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m)))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) (log -1)) into (- (log -1) (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log M))) into (* 2 (- (log -1) (log M))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log M)))) into (exp (* 2 (- (log -1) (log M)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 1/2)) into (- (log 1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log n))) into (* 2 (- (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log n)))) into (exp (* 2 (- (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 1)) (pow 1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* (- (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m)))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (* 4 (/ 1 M))) 0) (* (* 4 (/ 1 (pow M 2))) (exp (* 2 (- (log 1/2) (log m))))))) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (- (* 4 (/ 1 M))) 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) 0) into (- (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log M))) into (* -2 (log M)) * [misc]backup-simplify: Simplify (exp (* -2 (log M))) into (pow M -2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1/2)) into (- (log -1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log n))) into (* 2 (- (log -1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log n)))) into (exp (* 2 (- (log -1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 1)) (pow -1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 4 (/ 1 M)))) (* 0 2)) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) (* 4 (/ 1 (pow M 2)))) (+ (* 0 (- (* 4 (/ 1 M)))) (* 0 1))) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) 0) (+ (* 0 (- (* 4 (/ 1 M)))) (* 0 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 n) (* 1/2 m)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 n) 0) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n (* 1 K)))) (+ (* 1/2 (* 1 (* 1 (* m K)))) (* -1 (* M (* 1 (* 1 1)))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M) * [misc]approximate: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K)))))) (* 1/2 (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M) * [misc]approximate: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 0 (/ 1 M)) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K))))))) (* 1/2 (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (/ (cos (+ (/ 1 M) (/ (+ (/ 1/2 m) (/ 1/2 n)) K))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (/ (exp (fabs (- m n))) (* (pow (exp 1/4) (* m m)) (exp l))) (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 5 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) l)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (exp (- (fabs (- (/ 1 m) (/ 1 n))) (+ (* (/ 1/2 m) (/ 1/2 m)) l))) (cos (- (/ (+ m n) (/ 2 K)) M))) * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (fabs (- (/ 1 n) (/ 1 m))) (+ (exp (* 2 (- (log -1/2) (log m)))) l)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (exp (- (fabs (- (/ 1 n) (/ 1 m))) (+ (* (/ -1/2 m) (/ -1/2 m)) l))) (cos (- (/ (+ m n) (/ 2 K)) M))) * * * * [misc]progress: [ 7 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (/ (/ (cos (- (* (/ K 2) (+ m n)) M)) (* (exp (* (* M -1) (* M -1))) (pow (exp m) (+ (* 1/4 m) (* n 1/2))))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (exp (* 2 (- (log 1/2) (log m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- l (fabs (- m n))) (* (/ 1/2 m) (/ 1/2 m))))) * * * * [misc]progress: [ 9 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (exp (* 2 (- (log -1/2) (log m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- l (fabs (- m n))) (* (/ -1/2 m) (/ -1/2 m))))) * * * * [misc]progress: [ 10 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (exp (- l (fabs (- m n)))) (cos (- (* (* 1/2 K) (+ m n)) M)))) * * * * [misc]progress: [ 11 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (exp (- l (fabs (- m n)))) (cos (- (* (* 1/2 K) (+ m n)) M)))) * * * * [misc]progress: [ 12 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (exp (- l (fabs (- m n)))) (cos (- (* (* 1/2 K) (+ m n)) M)))) * * * * [misc]progress: [ 13 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (exp (pow (- (/ (+ m n) 2) M) 2))) (exp (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (- (pow (- (/ (+ m n) 2) M) 2))) (exp (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (exp (- (fabs (- m n)) l)) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [exit]simplify: Simplified to (/ (exp (- (fabs (- m n)) l)) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (log (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (log (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n))))) * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [exit]simplify: Simplified to (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (cbrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (- l (fabs (- m n))))) (cbrt (- (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (- l (fabs (- m n)))))) * [exit]simplify: Simplified to (* (cbrt (- (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (- l (fabs (- m n))))) (cbrt (- (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (- l (fabs (- m n)))))) * [enter]simplify: Simplifying (cbrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (cbrt (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (cbrt (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n))))) * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (pow (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n)))) 3) * [exit]simplify: Simplified to (pow (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n)))) 3) * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (sqrt (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n))))) * [enter]simplify: Simplifying (sqrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (sqrt (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n))))) * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (- (pow (- (/ (+ m n) 2) M) 2)) 3) (pow (- l (fabs (- m n))) 3)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (- (* (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (pow (- l (fabs (- m n))) 3)) * [exit]simplify: Simplified to (- (* (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (pow (- l (fabs (- m n))) 3)) * [enter]simplify: Simplifying (+ (* (- (pow (- (/ (+ m n) 2) M) 2)) (- (pow (- (/ (+ m n) 2) M) 2))) (+ (* (- l (fabs (- m n))) (- l (fabs (- m n)))) (* (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (+ (* (- l (fabs (- m n))) (- l (fabs (- m n)))) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (+ (- (- l (fabs (- m n)))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * [exit]simplify: Simplified to (+ (* (- l (fabs (- m n))) (- l (fabs (- m n)))) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (+ (- (- l (fabs (- m n)))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (- (- l (fabs (- m n)))) * [exit]simplify: Simplified to (- (- l (fabs (- m n)))) * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (pow (- (/ (+ m n) 2) M) 2)) (- (pow (- (/ (+ m n) 2) M) 2))) (* (- l (fabs (- m n))) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (* (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n))))) * [enter]simplify: Simplifying (+ (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (+ (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n)))) * [exit]simplify: Simplified to (+ (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n)))) * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M)))) (sqrt (- l (fabs (- m n))))) * [exit]simplify: Simplified to (+ (sqrt (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M)))) (sqrt (- l (fabs (- m n))))) * [enter]simplify: Simplifying (- (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (sqrt (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M)))) (sqrt (- l (fabs (- m n))))) * [exit]simplify: Simplified to (- (sqrt (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M)))) (sqrt (- l (fabs (- m n))))) * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n)))) * [exit]simplify: Simplified to (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n)))) * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n)))) * [exit]simplify: Simplified to (- (* (- (/ (+ n m) 2) M) (- (- (/ (+ n m) 2) M))) (- l (fabs (- m n)))) * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) l) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) l) * [exit]simplify: Simplified to (- (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) l) * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (- (/ (+ m n) 2) M) 2) (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) l) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) l) * [exit]simplify: Simplified to (- (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) l) * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) * [enter]simplify: Simplifying (pow (cbrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 44 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (- (/ (+ m n) 2) M) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 46 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 50 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [enter]simplify: Simplifying (cbrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 51 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (- (/ (+ m n) 2) M) 2) (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 3) * [exit]simplify: Simplified to (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 3) * * * * [misc]progress: [ 52 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 53 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (log (- (* (/ K 2) (+ m n)) M)) * [exit]simplify: Simplified to (log (- (* (/ K 2) (+ m n)) M)) * * * * [misc]progress: [ 56 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (exp (- (* (+ m n) (/ K 2)) M)) * [exit]simplify: Simplified to (exp (- (* (+ m n) (/ K 2)) M)) * * * * [misc]progress: [ 57 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ (* K (+ m n)) 2) M)) (cbrt (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (+ m n) (/ K 2)) M)) (cbrt (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (* (cbrt (- (* (+ m n) (/ K 2)) M)) (cbrt (- (* (+ m n) (/ K 2)) M))) * [enter]simplify: Simplifying (cbrt (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (cbrt (- (* (/ K 2) (+ m n)) M)) * [exit]simplify: Simplified to (cbrt (- (* (/ K 2) (+ m n)) M)) * * * * [misc]progress: [ 58 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ (* K (+ m n)) 2) M) (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (pow (- (* (/ K 2) (+ m n)) M) 3) * [exit]simplify: Simplified to (pow (- (* (/ K 2) (+ m n)) M) 3) * * * * [misc]progress: [ 59 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (- (* (/ K 2) (+ m n)) M)) * [exit]simplify: Simplified to (sqrt (- (* (/ K 2) (+ m n)) M)) * [enter]simplify: Simplifying (sqrt (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (- (* (/ K 2) (+ m n)) M)) * [exit]simplify: Simplified to (sqrt (- (* (/ K 2) (+ m n)) M)) * * * * [misc]progress: [ 60 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ (* K (+ m n)) 2) 3) (pow M 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (- (pow (/ (+ m n) (/ 2 K)) 3) (pow M 3)) * [exit]simplify: Simplified to (- (pow (/ (+ m n) (/ 2 K)) 3) (pow M 3)) * [enter]simplify: Simplifying (+ (* (/ (* K (+ m n)) 2) (/ (* K (+ m n)) 2)) (+ (* M M) (* (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (+ (* (* (+ m n) (/ K 2)) (+ M (* (+ m n) (/ K 2)))) (* M M)) * [exit]simplify: Simplified to (+ (* (* (+ m n) (/ K 2)) (+ M (* (+ m n) (/ K 2)))) (* M M)) * * * * [misc]progress: [ 61 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 62 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (* K (+ m n)) 2) (/ (* K (+ m n)) 2)) (* M M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (+ M (* (/ K 2) (+ m n))) (- (* (/ K 2) (+ m n)) M)) * [exit]simplify: Simplified to (* (+ M (* (/ K 2) (+ m n))) (- (* (/ K 2) (+ m n)) M)) * [enter]simplify: Simplifying (+ (/ (* K (+ m n)) 2) M) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (+ (* (/ K 2) (+ m n)) M) * [exit]simplify: Simplified to (+ (* (/ K 2) (+ m n)) M) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (cos (- (/ (* K (+ m n)) 2) M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* K (+ m n)) 2) M))) in M * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* K (+ m n)) 2) M)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* K (+ m n)) 2) M))) in M * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 1) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 0) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K))))) into (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))))) into (* 1/3 (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K))))))) into (pow (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* K (+ m n)) 2) M))) in n * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* K (+ m n)) 2) M)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* K (+ m n)) 2) M))) in n * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (* K m)) M)) 1) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (* K m)) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (* K m)) M)) 0) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (log (cos (- (* 1/2 (* K m)) M))) into (log (cos (- (* 1/2 (* K m)) M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (* 1/2 (* K m)) M)))) into (* 1/3 (log (cos (- (* 1/2 (* K m)) M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (* 1/2 (* K m)) M))))) into (pow (cos (- (* 1/2 (* K m)) M)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* K (+ m n)) 2) M))) in m * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* K (+ m n)) 2) M)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* K (+ m n)) 2) M))) in m * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (* n K)) M)) 1) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (* n K)) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (* n K)) M)) 0) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (log (cos (- (* 1/2 (* n K)) M))) into (log (cos (- (* 1/2 (* n K)) M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (* 1/2 (* n K)) M)))) into (* 1/3 (log (cos (- (* 1/2 (* n K)) M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (* 1/2 (* n K)) M))))) into (pow (cos (- (* 1/2 (* n K)) M)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* K (+ m n)) 2) M))) in K * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* K (+ m n)) 2) M)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* K (+ m n)) 2) M))) in K * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* K (+ m n)) 2) M))) in K * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* K (+ m n)) 2) M)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* K (+ m n)) 2) M))) in K * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 1/3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in M * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) 1)) (pow (cos (- M)) 1)))) 1) into (* -1 (+ (* 1/2 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/2 (/ (* (sin (- M)) m) (cos (- M)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1 (+ (* 1/2 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/2 (/ (* (sin (- M)) m) (cos (- M))))))) (* 0 (log (cos (- M))))) into (- (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* (sin (- M)) m) (cos (- M)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow (- (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* (sin (- M)) m) (cos (- M)))))) 1) 1)))) into (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* (sin (- M)) m) (cos (- M))))))) * [misc]taylor: Taking taylor expansion of (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* (sin (- M)) m) (cos (- M))))))) in m * [misc]taylor: Taking taylor expansion of -1 in m * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (pow (cos (- M)) 1/3) (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* (sin (- M)) m) (cos (- M)))))) in m * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* (sin (- M)) m) (cos (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/6 in m * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (* (sin (- M)) n) (cos (- M))) in m * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (/ (* (sin (- M)) n) (cos (- M))) into (/ (* (sin (- M)) n) (cos (- M))) * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (* (sin (- M)) m) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/6 in m * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (* (sin (- M)) m) (cos (- M))) in m * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (/ (sin (- M)) (cos (- M))) into (/ (sin (- M)) (cos (- M))) * [misc]backup-simplify: Simplify (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) into (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) * [misc]backup-simplify: Simplify (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) 0) into (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) * [misc]backup-simplify: Simplify (* (pow (cos (- M)) 1/3) (* 1/6 (/ (* (sin (- M)) n) (cos (- M))))) into (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (* -1 (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n)))) into (* -1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (* -1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of -1/6 in n * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 2 (log (cos (- M)))) into (* 2 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (- M))))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (- M)) 2)) into (/ 1 (pow (cos (- M)) 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow (cos (- M)) 2))) into (log (/ 1 (pow (cos (- M)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) into (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) into (pow (/ 1 (pow (cos (- M)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) 0) into 0 * [misc]backup-simplify: Simplify (* -1/6 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) 2)) (pow (cos (- M)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))))) 1)) (pow (cos (- M)) 1)))) 2) into (* -1/2 (+ (* 1/4 (/ (* (pow (sin (- M)) 2) (pow m 2)) (pow (cos (- M)) 2))) (+ (* 1/2 (/ (* (pow (sin (- M)) 2) (* n m)) (pow (cos (- M)) 2))) (+ (* 1/4 (pow n 2)) (+ (* 1/4 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m)))))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 1/4 (/ (* (pow (sin (- M)) 2) (pow m 2)) (pow (cos (- M)) 2))) (+ (* 1/2 (/ (* (pow (sin (- M)) 2) (* n m)) (pow (cos (- M)) 2))) (+ (* 1/4 (pow n 2)) (+ (* 1/4 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m))))))))) (+ (* 0 (* -1 (+ (* 1/2 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/2 (/ (* (sin (- M)) m) (cos (- M))))))) (* 0 (log (cos (- M)))))) into (- (+ (* 1/24 (/ (* (pow (sin (- M)) 2) (pow m 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (/ (* (pow (sin (- M)) 2) (* n m)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/24 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/12 (* n m)))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow (- (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* (sin (- M)) m) (cos (- M)))))) 2) 2)) (* (/ (pow (- (+ (* 1/24 (/ (* (pow (sin (- M)) 2) (pow m 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (/ (* (pow (sin (- M)) 2) (* n m)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/24 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/12 (* n m)))))))) 1) 1)))) into (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow m 2)) (pow (cos (- M)) 2))) (+ (* 1/18 (/ (* (pow (sin (- M)) 2) (* n m)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow m 2)) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (* 1/12 (* n m))))))))) * [misc]taylor: Taking taylor expansion of (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow m 2)) (pow (cos (- M)) 2))) (+ (* 1/18 (/ (* (pow (sin (- M)) 2) (* n m)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow m 2)) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (* 1/12 (* n m))))))))) in m * [misc]taylor: Taking taylor expansion of -1 in m * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow m 2)) (pow (cos (- M)) 2))) (+ (* 1/18 (/ (* (pow (sin (- M)) 2) (* n m)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow m 2)) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (* 1/12 (* n m)))))))) in m * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]taylor: Taking taylor expansion of (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow m 2)) (pow (cos (- M)) 2))) (+ (* 1/18 (/ (* (pow (sin (- M)) 2) (* n m)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow m 2)) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (* 1/12 (* n m))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/36 (/ (* (pow (sin (- M)) 2) (pow m 2)) (pow (cos (- M)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/36 in m * [misc]backup-simplify: Simplify 1/36 into 1/36 * [misc]taylor: Taking taylor expansion of (/ (* (pow (sin (- M)) 2) (pow m 2)) (pow (cos (- M)) 2)) in m * [misc]taylor: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (pow (sin (- M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (- M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (- M))) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (log (sin (- M))) into (log (sin (- M))) * [misc]backup-simplify: Simplify (* 2 (log (sin (- M)))) into (* 2 (log (sin (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sin (- M))))) into (pow (sin (- M)) 2) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 2 (log (cos (- M)))) into (* 2 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (- M))))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (* (pow (sin (- M)) 2) 1) into (pow (sin (- M)) 2) * [misc]backup-simplify: Simplify (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) into (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/18 (/ (* (pow (sin (- M)) 2) (* n m)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow m 2)) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (* 1/12 (* n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/18 (/ (* (pow (sin (- M)) 2) (* n m)) (pow (cos (- M)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/18 in m * [misc]backup-simplify: Simplify 1/18 into 1/18 * [misc]taylor: Taking taylor expansion of (/ (* (pow (sin (- M)) 2) (* n m)) (pow (cos (- M)) 2)) in m * [misc]taylor: Taking taylor expansion of (* (pow (sin (- M)) 2) (* n m)) in m * [misc]taylor: Taking taylor expansion of (pow (sin (- M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (- M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (- M))) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (log (sin (- M))) into (log (sin (- M))) * [misc]backup-simplify: Simplify (* 2 (log (sin (- M)))) into (* 2 (log (sin (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sin (- M))))) into (pow (sin (- M)) 2) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 2 (log (cos (- M)))) into (* 2 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (- M))))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (pow (sin (- M)) 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (- M)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sin (- M))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sin (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (- M)) 2) n) (* 0 0)) into (* (pow (sin (- M)) 2) n) * [misc]backup-simplify: Simplify (/ (* (pow (sin (- M)) 2) n) (pow (cos (- M)) 2)) into (/ (* (pow (sin (- M)) 2) n) (pow (cos (- M)) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/24 (pow m 2)) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (* 1/12 (* n m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/24 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of 1/24 in m * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (* 1/12 (* n m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/36 in m * [misc]backup-simplify: Simplify 1/36 into 1/36 * [misc]taylor: Taking taylor expansion of (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) in m * [misc]taylor: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (pow (sin (- M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (- M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (- M))) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (log (sin (- M))) into (log (sin (- M))) * [misc]backup-simplify: Simplify (* 2 (log (sin (- M)))) into (* 2 (log (sin (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sin (- M))))) into (pow (sin (- M)) 2) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 2 (log (cos (- M)))) into (* 2 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (- M))))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (* (pow (sin (- M)) 2) (pow n 2)) into (* (pow (sin (- M)) 2) (pow n 2)) * [misc]backup-simplify: Simplify (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) into (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/24 (pow n 2)) (* 1/12 (* n m))) in m * [misc]taylor: Taking taylor expansion of (* 1/24 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of 1/24 in m * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]taylor: Taking taylor expansion of (* 1/12 (* n m)) in m * [misc]taylor: Taking taylor expansion of 1/12 in m * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) into (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) * [misc]backup-simplify: Simplify (* 1/24 (pow n 2)) into (* 1/24 (pow n 2)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow n 2)) 0) into (* 1/24 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) into (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2)))) into (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2)))) into (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2)))) into (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) * [misc]backup-simplify: Simplify (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2)))) into (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2)))) * [misc]backup-simplify: Simplify (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))))) into (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))))) * [misc]taylor: Taking taylor expansion of (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]taylor: Taking taylor expansion of (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) in n * [misc]taylor: Taking taylor expansion of 1/36 in n * [misc]backup-simplify: Simplify 1/36 into 1/36 * [misc]taylor: Taking taylor expansion of (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) in n * [misc]taylor: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow (sin (- M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (- M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (- M))) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (log (sin (- M))) into (log (sin (- M))) * [misc]backup-simplify: Simplify (* 2 (log (sin (- M)))) into (* 2 (log (sin (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sin (- M))))) into (pow (sin (- M)) 2) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 2 (log (cos (- M)))) into (* 2 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (- M))))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (* (pow (sin (- M)) 2) 1) into (pow (sin (- M)) 2) * [misc]backup-simplify: Simplify (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) into (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/24 in n * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- M))) (+ (* (/ (* (sin (- M)) n) (cos (- M))) (/ 0 (cos (- M)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ (* (sin (- M)) n) (cos (- M))))) into 0 * [misc]backup-simplify: Simplify (* 1/6 (/ (sin (- M)) (cos (- M)))) into (* 1/6 (/ (sin (- M)) (cos (- M)))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (/ (sin (- M)) (cos (- M))))) into (* 1/6 (/ (sin (- M)) (cos (- M)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (- M)) 1/3) (* 1/6 (/ (sin (- M)) (cos (- M))))) (* 0 (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))))) into (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) * [misc]backup-simplify: Simplify (+ (* -1 (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) (* 0 (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n))))) into (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 2 (log (cos (- M)))) into (* 2 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (- M))))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (- M)) 2)) into (/ 1 (pow (cos (- M)) 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow (cos (- M)) 2))) into (log (/ 1 (pow (cos (- M)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) into (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) into (pow (/ 1 (pow (cos (- M)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) into (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) * [misc]backup-simplify: Simplify (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) into (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) * [misc]backup-simplify: Simplify (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) into (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) in M * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of 1/6 in M * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) in M * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in M * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 2 -1/2) (+ (* 0 0) (* 0 0))) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (- M)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (- M)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (- M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in M * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in n * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in m * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in K * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in K * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) * [misc]backup-simplify: Simplify (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in M * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in n * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in m * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in K * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in K * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in m * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in n * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in M * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) * [misc]backup-simplify: Simplify (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt 1)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (/ (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (/ (exp (- l (fabs (- m n)))) (cbrt 1)))) * * * * [misc]progress: [ 2 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) (* (/ (exp (- l (fabs (- m n)))) 1) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))))) * * * * [misc]progress: [ 3 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos (+ (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M))))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 4 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt 1)) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (/ (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (/ (exp (- l (fabs (- m n)))) (cbrt 1)))) * * * * [misc]progress: [ 5 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (* (* (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M))))) (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))))) * * * * [misc]progress: [ 6 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (+ (/ 1 M) (+ (/ (/ 1/2 K) m) (/ (/ 1/2 K) n))))) (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M))))) (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 7 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt 1) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos (- (* (/ K 2) (+ m n)) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (/ (cbrt (cos (- (* (/ K 2) (+ m n)) M))) (/ (exp (- l (fabs (- m n)))) (cbrt 1)))) * * * * [misc]progress: [ 8 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * * [misc]simplify: iters left: 1 (445 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) (* (cbrt (cos (- (/ (+ n m) (/ 2 K)) M))) (cbrt (cos (- (/ (+ n m) (/ 2 K)) M))))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * * * [misc]progress: [ 9 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (* (* (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (* (cbrt (cos (- (* (/ K 2) (+ n m)) M))) (cbrt (cos (- (* (/ K 2) (+ n m)) M))))) (cbrt (cos (+ (+ (/ 1 M) (/ (/ 1/2 K) n)) (/ (/ 1/2 K) m))))) * * * * [misc]progress: [ 10 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) 1) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 11 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1/3)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) (/ (cbrt (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 12 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1/3)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) (/ (cbrt (cos (+ (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 13 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 14 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * * * * [misc]progress: [ 15 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 17 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 18 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 19 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * * * [misc]progress: [ 20 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 21 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 23 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * * * * [misc]progress: [ 24 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 26 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 27 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 28 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * * * [misc]progress: [ 29 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 30 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 32 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * * * * [misc]progress: [ 33 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 35 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 36 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 37 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * * * [misc]progress: [ 38 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 39 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (log (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (log (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * * * * [misc]progress: [ 43 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (exp (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (exp (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * * * * [misc]progress: [ 44 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (cos (- (* (/ K 2) (+ m n)) M))) (cbrt (cos (- (* (/ K 2) (+ m n)) M))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (cos (- (* (/ K 2) (+ m n)) M))) (cbrt (cos (- (* (/ K 2) (+ m n)) M))))) * [enter]simplify: Simplifying (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * * * * [misc]progress: [ 45 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (cbrt (sqrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (sqrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (cbrt (sqrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * * * * [misc]progress: [ 46 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 47 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (- (* (/ K 2) (+ m n)) M)))) (cbrt (cbrt (cos (- (* (/ K 2) (+ m n)) M))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (- (* (/ K 2) (+ m n)) M)))) (cbrt (cbrt (cos (- (* (/ K 2) (+ m n)) M))))) * [enter]simplify: Simplifying (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * * * * [misc]progress: [ 48 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (cos (- (* (/ K 2) (+ m n)) M)) * [exit]simplify: Simplified to (cos (- (* (/ K 2) (+ m n)) M)) * * * * [misc]progress: [ 49 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (sqrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (sqrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (sqrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * * * * [misc]progress: [ 50 / 50 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt 1)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (/ (* (* (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) (cbrt (cbrt 1))) (* (cbrt (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) (cbrt (cbrt (cos (- (* (+ m n) (/ K 2)) M)))))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (cos (+ (/ (/ 1/2 K) n) (- (/ (/ 1/2 K) m) (/ 1 M)))))) (/ (* (/ 1 (exp l)) (exp (fabs (- m n)))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (* (* (cbrt (cbrt (cos (- (* (/ K 2) (+ m n)) M)))) (cbrt (cos (- (* (/ K 2) (+ m n)) M)))) (* (cbrt (cbrt (cos (- (* (/ K 2) (+ m n)) M)))) (cbrt (cos (- (* (/ K 2) (+ m n)) M)))))) * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (cos (+ (/ (/ 1/2 K) m) (+ (/ 1 M) (/ (/ 1/2 n) K)))))) (/ (* (/ 1 (exp l)) (exp (fabs (- m n)))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (* (* (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) (* (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))))) * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt 1))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (/ (* (* (* (cbrt (cos (- (* (/ K 2) (+ m n)) M))) (cbrt (cos (- (* (/ K 2) (+ m n)) M)))) (cbrt (cbrt (cos (- (* (/ K 2) (+ m n)) M))))) (* (cbrt (cbrt 1)) (cbrt (cbrt (cos (- (* (/ K 2) (+ m n)) M)))))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (* (* (/ (* (/ 1 (exp l)) (exp (fabs (- m n)))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))))) (* (* (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))))) (cbrt (cbrt (cos (+ (- (/ (/ 1/2 K) n) (/ 1 M)) (/ (/ 1/2 K) m))))))) * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (* (* (/ (* (/ 1 (exp l)) (exp (fabs (- m n)))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))))) (* (* (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))))) (cbrt (cbrt (cos (+ (+ (/ (/ 1/2 K) m) (/ 1 M)) (/ 1/2 (* K n)))))))) * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt 1)) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (cbrt 1)) (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))))) (* (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (* (* (/ (* (/ 1 (exp l)) (exp (fabs (- m n)))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M))))) (* (cbrt (cbrt (cos (- (+ (/ (/ 1/2 K) m) (/ (/ 1/2 K) n)) (/ 1 M))))) (* (cbrt (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) (cbrt (cbrt (cos (- (* (+ m n) (/ K 2)) M))))))) * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) (/ (* (/ 1 (exp l)) (exp (fabs (- m n)))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (* (cbrt (cbrt (cos (+ (/ 1/2 (* m K)) (+ (/ (/ 1/2 K) n) (/ 1 M)))))) (* (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) (cbrt (cbrt (cos (- (* (+ m n) (/ K 2)) M))))))) * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt 1)) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (/ (/ (exp (- l (fabs (- m n)))) (cbrt 1)) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))))) * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos (+ (- (/ (/ 1/2 K) m) (/ 1 M)) (/ (/ 1/2 K) n)))) (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M))))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos (+ (/ 1 M) (+ (/ (/ 1/2 K) m) (/ (/ 1/2 K) n))))) (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M))))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) into (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) 1) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in K * [misc]taylor: Taking taylor expansion of (* m K) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (+ (* m 1) (* 0 0)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in K * [misc]taylor: Taking taylor expansion of (* n K) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M)))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 n) (* 1/2 m)) (/ 1 K)) into (* (+ (* 1/2 n) (* 1/2 m)) K) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 n) (* 1/2 m)) K) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 n) (* 1/2 m)) 1) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) * [misc]backup-simplify: Simplify (/ (* 1/2 m) (/ 1 K)) into (* 1/2 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* m K)) (- M)) into (- (* 1/2 (* m K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* m K)) M)) into (cos (- (* 1/2 (* m K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* m K)) M)) into (sin (- (* 1/2 (* m K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (/ (* 1/2 n) (/ 1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (/ (* 1/2 n) (/ 1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (* n K)) M)) 1) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (* n K)) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (* n K)) M)) 0) into (cos (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (* n K)) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 (/ 1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ 1 K))))) into (* 1/2 K) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* M (/ 0 (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (* n K)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K))) into (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)))) into (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- (* 1/2 (* n K)) M)) K) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) K) into (* (sin (- M)) K) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) K)) into (* 1/2 (* (sin (- M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) K))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) K) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (- M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) K))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (- M)) K)))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) K) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (* n K)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ 1 K))) (* (* 1/2 K) (/ 0 (/ 1 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* M (/ 0 (/ 1 M))) (* 0 (/ 0 (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (* n K)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) 0) into (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log K))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log K)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (* 2 (log K)) into (* 2 (log K)) * [misc]backup-simplify: Simplify (exp (* 2 (log K))) into (pow K 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow K 2)) into (* (cos (- M)) (pow K 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow K 2))) into (* 1/8 (* (cos (- M)) (pow K 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow K 2)))) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos (- M)) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (- M)) K))) into (* 1/2 (* (cos (- M)) K)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* (* 1/2 (* (cos (- M)) K)) K)) into (* 1/2 (* (cos (- M)) (pow K 2))) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (* (cos (- M)) (pow K 2)))) (* 0 (* (sin (- M)) K))) into (* 1/4 (* (cos (- M)) (pow K 2))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (cos (- M)) (pow K 2)))) into (- (* 1/4 (* (cos (- M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (cos (- M)) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (- M)) (pow K 2)))) 0) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M))))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ (* -1/2 m) (* -1/2 n)) into (- (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (/ (- (+ (* 1/2 n) (* 1/2 m))) (/ -1 K)) into (* (+ (* 1/2 n) (* 1/2 m)) K) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 n) (* 1/2 m)) K) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ (* -1/2 m) (* -1/2 n)) into (- (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (/ (- (+ (* 1/2 n) (* 1/2 m))) -1) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]backup-simplify: Simplify (- (* -1 M)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ (* -1/2 m) 0) into (- (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 m)) (/ -1 K)) into (* 1/2 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]backup-simplify: Simplify (- (* -1 M)) into M * [misc]backup-simplify: Simplify (+ (* 1/2 (* m K)) M) into (+ M (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (cos (+ M (* 1/2 (* m K)))) into (cos (+ M (* 1/2 (* m K)))) * [misc]backup-simplify: Simplify (sin (+ M (* 1/2 (* m K)))) into (sin (+ M (* 1/2 (* m K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 n)) (/ -1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]backup-simplify: Simplify (- (* -1 M)) into M * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) M) into (+ M (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ M (* 1/2 (* n K)))) into (cos (+ M (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ M (* 1/2 (* n K)))) into (sin (+ M (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 n)) (/ -1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]backup-simplify: Simplify (- (* -1 M)) into M * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) M) into (+ M (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ M (* 1/2 (* n K)))) into (cos (+ M (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ M (* 1/2 (* n K)))) into (sin (+ M (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (* (cos (+ M (* 1/2 (* n K)))) 1) into (cos (+ M (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (* (sin (+ M (* 1/2 (* n K)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ M (* 1/2 (* n K)))) 0) into (cos (+ M (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (+ M (* 1/2 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (+ M (* 1/2 (* n K))) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 1) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos M) 0) into (cos M) * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 1) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos M) 0) into (cos M) * [misc]taylor: Taking taylor expansion of (cos M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ M (* 1/2 (* n K)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ -1 K))))) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 M) (/ 0 (/ -1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (+ M (* 1/2 (* n K)))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K))) into (- (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K)))) into (- (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (+ M (* 1/2 (* n K)))) K) in n * [misc]taylor: Taking taylor expansion of (sin (+ M (* 1/2 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (+ M (* 1/2 (* n K))) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* (sin M) K) into (* K (sin M)) * [misc]backup-simplify: Simplify (* 1/2 (* K (sin M))) into (* 1/2 (* K (sin M))) * [misc]backup-simplify: Simplify (- (* 1/2 (* K (sin M)))) into (- (* 1/2 (* K (sin M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K (sin M)))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin M))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin M)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* 0 (sin M)) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin M) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin M))) * [misc]backup-simplify: Simplify (- (* 1/2 (* K (sin M)))) into (- (* 1/2 (* K (sin M)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* K (sin M))))) into (- (* 1/2 (* K (sin M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K (sin M)))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin M))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin M)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* 0 (sin M)) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (+ M (* 1/2 (* n K)))) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (pow K 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ -1 K))) (* (* 1/2 K) (/ 0 (/ -1 K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 M) (/ 0 (/ -1 M))) (* 0 (/ 0 (/ -1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ M (* 1/2 (* n K)))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (pow K 2)))) 0) into (- (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (pow K 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (pow K 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (+ M (* 1/2 (* n K)))) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (cos (+ M (* 1/2 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (+ M (* 1/2 (* n K))) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log K))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log K)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (* 2 (log K)) into (* 2 (log K)) * [misc]backup-simplify: Simplify (exp (* 2 (log K))) into (pow K 2) * [misc]backup-simplify: Simplify (* (cos M) 1) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos M) 0) into (cos M) * [misc]backup-simplify: Simplify (* (cos M) (pow K 2)) into (* (cos M) (pow K 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos M) (pow K 2))) into (* 1/8 (* (cos M) (pow K 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos M) (pow K 2)))) into (- (* 1/8 (* (cos M) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos M) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos M) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos M) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos M) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos M) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos M) K))) into (* 1/2 (* (cos M) K)) * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* (* 1/2 (* (cos M) K)) K)) into (* 1/2 (* (cos M) (pow K 2))) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (* (cos M) (pow K 2)))) (* 0 (* K (sin M)))) into (* 1/4 (* (cos M) (pow K 2))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (cos M) (pow K 2)))) into (- (* 1/4 (* (cos M) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (cos M) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos M) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos M) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos M) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos M) (pow K 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos M) (pow K 2)))) 0) into (- (* 1/8 (* (cos M) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos M) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos M) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos M) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin M))) into (sin M) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin M)) (* 0 0)) into (* 1/2 (sin M)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin M))) into (- (* 1/2 (sin M))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin M))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin M)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin M))) into (sin M) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin M)) (* 0 0)) into (* 1/2 (sin M)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin M))) into (- (* 1/2 (sin M))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin M))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin M)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) 1) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ 1 n)) K) (+ (* (/ 1/2 K) (/ 0 K)))) into (* 1/2 (/ 1 (* n K))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* (* 1/2 (/ 1 (* n K))) (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* (* 1/2 (/ 1 (* n K))) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 K) (* 1 (/ 1 m)))) (* 1/2 (* (/ 1 K) (* (/ 1 n) 1)))) into (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 n) (* 1/2 m)) 1) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) * [misc]backup-simplify: Simplify (/ (* 1/2 m) (/ 1 K)) into (* 1/2 (* m K)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (/ (* 1/2 n) (/ 1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (/ (* 1/2 n) (/ 1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 (/ 1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ 1 K))))) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ 1 K))) (* (* 1/2 K) (/ 0 (/ 1 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 K) (* (/ 1 n) 1))) (* 1/2 (* (/ 1 K) (* 1 (/ 1 m))))) into (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ (* -1/2 m) (* -1/2 n)) into (- (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (/ (- (+ (* 1/2 n) (* 1/2 m))) -1) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ (* -1/2 m) 0) into (- (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 m)) (/ -1 K)) into (* 1/2 (* m K)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 n)) (/ -1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 n)) (/ -1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ -1 K))))) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ -1 K))) (* (* 1/2 K) (/ 0 (/ -1 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 (- K)) (* (/ 1 (- n)) 1))) (* 1/2 (* (/ 1 (- K)) (* 1 (/ 1 (- m)))))) into (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) in (l m n M) around 0 * [misc]taylor: Taking taylor expansion of (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) in M * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in M * [misc]taylor: Taking taylor expansion of (+ n m) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ n m) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in M * [misc]taylor: Taking taylor expansion of (+ n m) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ n m) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) in n * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in n * [misc]taylor: Taking taylor expansion of (+ n m) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 m) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in n * [misc]taylor: Taking taylor expansion of (+ n m) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 m) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) in m * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in m * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in m * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) in l * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in l * [misc]taylor: Taking taylor expansion of (+ n m) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ n m) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in l * [misc]taylor: Taking taylor expansion of (+ n m) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ n m) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) in l * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in l * [misc]taylor: Taking taylor expansion of (+ n m) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ n m) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in l * [misc]taylor: Taking taylor expansion of (+ n m) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ n m) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) (- M)) into (- (+ (* 1/2 n) (* 1/2 m)) M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) (- M)) into (- (+ (* 1/2 n) (* 1/2 m)) M) * [misc]backup-simplify: Simplify (* (- (+ (* 1/2 n) (* 1/2 m)) M) (- (+ (* 1/2 n) (* 1/2 m)) M)) into (pow (- (+ (* 1/2 n) (* 1/2 m)) M) 2) * [misc]backup-simplify: Simplify (+ (- (fabs (- m n))) (pow (- (+ (* 1/2 n) (* 1/2 m)) M) 2)) into (- (+ (* 1/4 (pow m 2)) (+ (* 1/4 (pow n 2)) (+ (pow M 2) (* 1/2 (* n m))))) (+ (fabs (- m n)) (+ (* M n) (* M m)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (* 1/4 (pow n 2)) (+ (pow M 2) (* 1/2 (* n m))))) (+ (fabs (- m n)) (+ (* M n) (* M m)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (* 1/4 (pow n 2)) (+ (pow M 2) (* 1/2 (* n m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (pow n 2)) (+ (pow M 2) (* 1/2 (* n m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]taylor: Taking taylor expansion of (+ (pow M 2) (* 1/2 (* n m))) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]taylor: Taking taylor expansion of (* 1/2 (* n m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (fabs (- m n)) (+ (* M n) (* M m))) in m * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (+ (* M n) (* M m)) in m * [misc]taylor: Taking taylor expansion of (* M n) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* M m) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow n 2)) into (* 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (pow M 2) 0) into (pow M 2) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow n 2)) (pow M 2)) into (+ (* 1/4 (pow n 2)) (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/4 (pow n 2)) (pow M 2))) into (+ (* 1/4 (pow n 2)) (pow M 2)) * [misc]backup-simplify: Simplify (* M n) into (* M n) * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M n) 0) into (* M n) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (* M n)) into (+ (fabs (- m n)) (* M n)) * [misc]backup-simplify: Simplify (- (+ (fabs (- m n)) (* M n))) into (- (+ (fabs (- m n)) (* M n))) * [misc]backup-simplify: Simplify (+ (+ (* 1/4 (pow n 2)) (pow M 2)) (- (+ (fabs (- m n)) (* M n)))) into (- (+ (* 1/4 (pow n 2)) (pow M 2)) (+ (fabs (- m n)) (* M n))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (pow n 2)) (pow M 2)) (+ (fabs (- m n)) (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (pow n 2)) (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]taylor: Taking taylor expansion of (+ (fabs (- m n)) (* M n)) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (pow M 2)) into (pow M 2) * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ (pow M 2) (- (fabs (- m n)))) into (- (pow M 2) (fabs (- m n))) * [misc]taylor: Taking taylor expansion of (- (pow M 2) (fabs (- m n))) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 n) (* 1/2 m)) M) 0) (* 0 (- (+ (* 1/2 n) (* 1/2 m)) M))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow n 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow M 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log M))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow M 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log M))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 n) (* 1/2 m)) M) 0) (+ (* 0 0) (* 0 (- (+ (* 1/2 n) (* 1/2 m)) M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow n 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow M 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow M 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log M)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/4 (pow (* 1 (* 1 (* m 1))) 2)) (+ (* 1 (* 1 (* 1 (* 1 l)))) (- (fabs (- m n))))) into (- (+ l (* 1/4 (pow m 2))) (fabs (- m n))) * [misc]approximate: Taking taylor expansion of (+ (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)))) in (l m n M) around 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in M * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 n) (/ 1 m)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in M * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 n) (/ 1 m)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)))) in l * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in l * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 n) (/ 1 m)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in l * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 n) (/ 1 m)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)))) in l * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in l * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 n) (/ 1 m)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in l * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 n) (/ 1 m)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) (- (/ 1 M))) into (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) (- (/ 1 M))) into (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) * [misc]backup-simplify: Simplify (* (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) 2) * [misc]backup-simplify: Simplify (+ (- (fabs (- (/ 1 m) (/ 1 n)))) (pow (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) 2)) into (- (+ (* 1/4 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 (* n m))) (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))))) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 (* n m))) (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))))) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 (* n m))) (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* n m))) (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n m)) in m * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (* M m)) in m * [misc]taylor: Taking taylor expansion of (* M m) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in m * [misc]taylor: Taking taylor expansion of (* M n) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* M n) into (* M n) * [misc]backup-simplify: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) 0) (* 0 (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 n))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) 0) (+ (* 0 0) (* 0 (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow n 2))) into (/ 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow M 2))) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow M 2))) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ (/ 1/4 (pow n 2)) (/ 1 (pow M 2))) into (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) into (+ (fabs (- (/ 1 m) (/ 1 n))) (/ 1 (* M n))) * [misc]backup-simplify: Simplify (+ 0 (+ (fabs (- (/ 1 m) (/ 1 n))) (/ 1 (* M n)))) into (+ (fabs (- (/ 1 m) (/ 1 n))) (/ 1 (* M n))) * [misc]backup-simplify: Simplify (- (+ (fabs (- (/ 1 m) (/ 1 n))) (/ 1 (* M n)))) into (- (+ (fabs (- (/ 1 m) (/ 1 n))) (/ 1 (* M n)))) * [misc]backup-simplify: Simplify (+ (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 (pow M 2))) (- (+ (fabs (- (/ 1 m) (/ 1 n))) (/ 1 (* M n))))) into (- (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 (pow M 2))) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 (pow M 2))) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow n 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow M 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log M))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow M 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow M 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log M)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow M 2))) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (fabs (- (/ 1 m) (/ 1 n)))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (/ 1 (pow M 2)) (fabs (- (/ 1 m) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow M 2)) (fabs (- (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* (/ 1 (/ 1 m)) 1)))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) (* 1 1)))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 (* 1 1))) 2)))) into (- (pow M 2) (+ (* M n) (* M m))) * [misc]approximate: Taking taylor expansion of (+ (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))))) in (l m n M) around 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in M * [misc]taylor: Taking taylor expansion of (- l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 n) (/ -1 m)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 n) (/ -1 m)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in n * [misc]taylor: Taking taylor expansion of (- l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in m * [misc]taylor: Taking taylor expansion of (- l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))))) in l * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M)))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 n) (/ -1 m)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 n) (/ -1 m)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))))) in l * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M)))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 n) (/ -1 m)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 n) (/ -1 m)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in m * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- (/ 1 n) (/ 1 m))))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (/ 1 n) (/ 1 m))) (/ 1 M)) into (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (/ 1 n) (/ 1 m))) (/ 1 M)) into (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) * [misc]backup-simplify: Simplify (* (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) 2) * [misc]backup-simplify: Simplify (+ (- (fabs (- (/ 1 n) (/ 1 m)))) (pow (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) 2)) into (- (+ (* 1/4 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 (* n m))) (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))))) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 (* n m))) (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))))) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 (* n m))) (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* n m))) (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n m)) in m * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (* M m)) in m * [misc]taylor: Taking taylor expansion of (* M m) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in m * [misc]taylor: Taking taylor expansion of (* M n) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* M n) into (* M n) * [misc]backup-simplify: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) 0) (* 0 (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 n))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) 0) (+ (* 0 0) (* 0 (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow n 2))) into (/ 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow M 2))) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow M 2))) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ (/ 1/4 (pow n 2)) (/ 1 (pow M 2))) into (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))) into (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n))) * [misc]backup-simplify: Simplify (+ 0 (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n)))) into (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n))) * [misc]backup-simplify: Simplify (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n)))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n)))) * [misc]backup-simplify: Simplify (+ (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 (pow M 2))) (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n))))) into (- (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 (pow M 2))) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 (pow M 2))) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m))))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow n 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow M 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log M))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow M 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow M 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log M)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow M 2))) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (fabs (- (/ 1 n) (/ 1 m)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) (- (fabs (- (/ 1 n) (/ 1 m))))) into (- (/ 1 (pow M 2)) (fabs (- (/ 1 n) (/ 1 m)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow M 2)) (fabs (- (/ 1 n) (/ 1 m)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (* (/ 1 (/ 1 (- m))) 1)))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) (* 1 1)))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1))) 2)))) into (- (pow M 2) (+ (* M n) (* M m))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) in (n m M) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in M * [misc]taylor: Taking taylor expansion of (+ n m) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ n m) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in M * [misc]taylor: Taking taylor expansion of (+ n m) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ n m) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in m * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in m * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in n * [misc]taylor: Taking taylor expansion of (+ n m) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 m) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in n * [misc]taylor: Taking taylor expansion of (+ n m) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 m) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in n * [misc]taylor: Taking taylor expansion of (+ n m) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 m) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ n m) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ n m) 2) in n * [misc]taylor: Taking taylor expansion of (+ n m) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 m) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (* (- (* 1/2 m) M) (- (* 1/2 m) M)) into (pow (- (* 1/2 m) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 m) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (* 1/2 m) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (* 1/2 m) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 m) M)) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 m) M) in m * [misc]taylor: Taking taylor expansion of (* 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (log (- M)) into (log (- M)) * [misc]backup-simplify: Simplify (* 2 (log (- M))) into (* 2 (log (- M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- M)))) into (pow (- M) 2) * [misc]taylor: Taking taylor expansion of (pow (- M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (* 2 (+ (log M) (log -1))) into (* 2 (+ (log M) (log -1))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 m) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 m) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 m) M) 1/2) (* 1/2 (- (* 1/2 m) M))) into (- (* 1/2 m) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 m) M) in m * [misc]taylor: Taking taylor expansion of (* 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- M) 1)))) 1) into (/ -1/2 M) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/2 M)) (* 0 (log (- M)))) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- M)))) (+ (* (/ (pow (- (/ 1 M)) 1) 1)))) into (* -1 M) * [misc]taylor: Taking taylor expansion of (* -1 M) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log M) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log M) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 m) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 m) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 m) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 m) M)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* m n))) (+ (* 1/4 (pow (* 1 (* 1 n)) 2)) (exp (* 2 (+ (log M) (log -1)))))) into (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow n 2)) (* 1/2 (* n m)))) * [misc]approximate: Taking taylor expansion of (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M))) in (n m M) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in M * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 n) (/ 1 m)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in M * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 n) (/ 1 m)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 m)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 m)) into (/ 1 m) * [misc]backup-simplify: Simplify (- (/ (/ 1 m) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 m)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 m)) (- (/ 1 M))) into (- (* 1/2 (/ 1 m)) (/ 1 M)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 m)) into (/ 1 m) * [misc]backup-simplify: Simplify (- (/ (/ 1 m) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 m)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 m)) (- (/ 1 M))) into (- (* 1/2 (/ 1 m)) (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 m)) (/ 1 M))) (* (- (* 1/2 (/ 1 m)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 m)) (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 m)) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 m)) (/ 1 M)) (- (* 1/2 (/ 1 m)) (/ 1 M))) (* 0 1/2))) into (- (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))) (/ 1 (* M m))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))) (/ 1 (* M m))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* M m)) in m * [misc]taylor: Taking taylor expansion of (* M m) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 m)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 m)) (/ 1 M))) (* 0 1/2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 m)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 m)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 m)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 m)) (/ 1 M))) (* 0 1/2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow M 2))) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 n))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 m)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* M m) (* M n))) * [misc]approximate: Taking taylor expansion of (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M)))) in (n m M) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 n) (/ -1 m)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 n) (/ -1 m)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- m))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 m)) into (- (/ 1 m)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 m)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 m))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 m)) into (- (/ 1 m)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 m)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 m))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 m)))) (* (- (/ 1 M) (* 1/2 (/ 1 m))) -1/2)) into (- (* 1/2 (/ 1 m)) (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 m)) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 m))) (- (/ 1 M) (* 1/2 (/ 1 m)))) (* 0 -1/2))) into (- (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))) (/ 1 (* M m))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))) (/ 1 (* M m))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (/ 1 (pow M 2))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* M m)) in m * [misc]taylor: Taking taylor expansion of (* M m) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 m))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 m)))) (* 0 -1/2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 m))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 m)))) (* 0 -1/2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow M 2))) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- n)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- m))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* M m) (* M n))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * * * [misc]progress: [ 2 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * * * [misc]progress: [ 3 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * * * [misc]progress: [ 4 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 5 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 6 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 7 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (- (+ l (* 1/4 (pow m 2))) (fabs (- m n))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (/ (* (pow (exp 1/4) (* m m)) (exp l)) (exp (fabs (- m n))))) * * * * [misc]progress: [ 8 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (- (pow M 2) (+ (* M n) (* M m))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (pow (exp M) (- (- M n) m))) * * * * [misc]progress: [ 9 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (- (pow M 2) (+ (* M n) (* M m))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (pow (exp M) (- (- M n) m))) * * * * [misc]progress: [ 10 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow n 2)) (* 1/2 (* n m))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (* (exp (- l (fabs (- m n)))) (* (pow (exp n) (+ (* 1/4 n) (* m 1/2))) (exp (* (- M) (- M)))))) * * * * [misc]progress: [ 11 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (- (pow M 2) (+ (* M m) (* M n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* M (- M (+ n m)))))) * * * * [misc]progress: [ 12 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (- (pow M 2) (+ (* M m) (* M n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* M (- M (+ n m)))))) * * * * [misc]progress: [ 13 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (- (/ 1 M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (* (cos (/ 1 M)) (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (* (cos (/ 1 M)) (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [enter]simplify: Simplifying (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (sin (- (/ 1 M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * * * * [misc]progress: [ 14 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (/ 1 M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cos (/ 1 M))) * [exit]simplify: Simplified to (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cos (/ 1 M))) * [enter]simplify: Simplifying (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (sin (/ 1 M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (sin (/ 1 M))) * [exit]simplify: Simplified to (* (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (sin (/ 1 M))) * * * * [misc]progress: [ 15 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (log (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [exit]simplify: Simplified to (log (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * * * * [misc]progress: [ 17 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (exp (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [exit]simplify: Simplified to (exp (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * * * * [misc]progress: [ 18 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) (cbrt (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [exit]simplify: Simplified to (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * * * * [misc]progress: [ 19 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (pow (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) 3) * [exit]simplify: Simplified to (pow (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) 3) * * * * [misc]progress: [ 20 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [exit]simplify: Simplified to (sqrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [exit]simplify: Simplified to (sqrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * * * * [misc]progress: [ 21 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [exit]simplify: Simplified to (log (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * * * * [misc]progress: [ 24 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [exit]simplify: Simplified to (exp (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * * * * [misc]progress: [ 25 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cbrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cbrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cbrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [enter]simplify: Simplifying (cbrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * * * * [misc]progress: [ 26 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (pow (/ (+ (/ 1/2 n) (/ 1/2 m)) K) 3) * [exit]simplify: Simplified to (pow (/ (+ (/ 1/2 n) (/ 1/2 m)) K) 3) * * * * [misc]progress: [ 27 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [enter]simplify: Simplifying (sqrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * * * * [misc]progress: [ 28 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (- (+ (/ 1/2 n) (/ 1/2 m))) * [enter]simplify: Simplifying (- K) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- K) * [exit]simplify: Simplified to (- K) * * * * [misc]progress: [ 29 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 K) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 K) * [exit]simplify: Simplified to (/ 1 K) * * * * [misc]progress: [ 31 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ K (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ K (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (/ K (+ (/ 1/2 n) (/ 1/2 m))) * * * * [misc]progress: [ 32 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ K (cbrt (+ (/ 1/2 m) (/ 1/2 n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ K (cbrt (+ (/ 1/2 n) (/ 1/2 m)))) * [exit]simplify: Simplified to (/ K (cbrt (+ (/ 1/2 n) (/ 1/2 m)))) * * * * [misc]progress: [ 33 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ K (sqrt (+ (/ 1/2 m) (/ 1/2 n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ K (sqrt (+ (/ 1/2 n) (/ 1/2 m)))) * [exit]simplify: Simplified to (/ K (sqrt (+ (/ 1/2 n) (/ 1/2 m)))) * * * * [misc]progress: [ 34 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ K (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ K (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (/ K (+ (/ 1/2 n) (/ 1/2 m))) * * * * [misc]progress: [ 35 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ K (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ K (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (/ K (+ (/ 1/2 n) (/ 1/2 m))) * * * * [misc]progress: [ 36 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ K (+ (/ 1 m) (/ 1 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ K (+ (/ 1 n) (/ 1 m))) * [exit]simplify: Simplified to (/ K (+ (/ 1 n) (/ 1 m))) * * * * [misc]progress: [ 37 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (* m n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (* K n) m) * [exit]simplify: Simplified to (* (* K n) m) * * * * [misc]progress: [ 38 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (+ (* (/ 1/2 m) (/ 1/2 m)) (- (* (/ 1/2 n) (/ 1/2 n)) (* (/ 1/2 m) (/ 1/2 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (+ (* K (* (/ 1/2 m) (/ 1/2 m))) (* (* K (/ 1/2 n)) (- (/ 1/2 n) (/ 1/2 m)))) * [exit]simplify: Simplified to (+ (* K (* (/ 1/2 m) (/ 1/2 m))) (* (* K (/ 1/2 n)) (- (/ 1/2 n) (/ 1/2 m)))) * * * * [misc]progress: [ 39 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (- (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* K (- (/ 1/2 m) (/ 1/2 n))) * [exit]simplify: Simplified to (* K (- (/ 1/2 m) (/ 1/2 n))) * * * * [misc]progress: [ 40 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (- l (fabs (- m n)))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * * * * [misc]progress: [ 41 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (log (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * * * * [misc]progress: [ 43 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * * * * [misc]progress: [ 44 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) (cbrt (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * [exit]simplify: Simplified to (* (cbrt (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) (cbrt (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * [enter]simplify: Simplifying (cbrt (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (cbrt (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * * * * [misc]progress: [ 45 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (435 enodes) * [exit]simplify: Simplified to (pow (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))) 3) * [exit]simplify: Simplified to (pow (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))) 3) * * * * [misc]progress: [ 46 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (sqrt (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [enter]simplify: Simplifying (sqrt (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (sqrt (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * * * * [misc]progress: [ 47 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow l 3) (pow (fabs (- m n)) 3)) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))))) (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (pow (/ (+ n m) 2) 3) (pow M 3))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (+ (* (+ (* l (+ (fabs (- m n)) l)) (* (fabs (- m n)) (fabs (- m n)))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3)))) (* (- (pow l 3) (pow (fabs (- m n)) 3)) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (/ (+ m n) (/ 2 M)))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (/ (+ m n) (/ 2 M))))))) * [exit]simplify: Simplified to (+ (* (+ (* l (+ (fabs (- m n)) l)) (* (fabs (- m n)) (fabs (- m n)))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3)))) (* (- (pow l 3) (pow (fabs (- m n)) 3)) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (/ (+ m n) (/ 2 M)))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (/ (+ m n) (/ 2 M))))))) * [enter]simplify: Simplifying (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (* (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (/ (+ n m) (/ 2 M)) (* M M))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (/ (+ n m) (/ 2 M)) (* M M)))) (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n))))) * [exit]simplify: Simplified to (* (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (/ (+ n m) (/ 2 M)) (* M M))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (/ (+ n m) (/ 2 M)) (* M M)))) (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n))))) * * * * [misc]progress: [ 48 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow l 3) (pow (fabs (- m n)) 3)) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (/ (+ n m) 2) M))) (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow l 3) (pow (fabs (- m n)) 3)) (+ (/ (+ m n) 2) M)) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ M 2) (+ m n))))) (* (+ (* l l) (* (+ (fabs (- m n)) l) (fabs (- m n)))) (* (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))))) * [exit]simplify: Simplified to (+ (* (* (- (pow l 3) (pow (fabs (- m n)) 3)) (+ (/ (+ m n) 2) M)) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ M 2) (+ m n))))) (* (+ (* l l) (* (+ (fabs (- m n)) l) (fabs (- m n)))) (* (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))))) * [enter]simplify: Simplifying (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (* (+ (* (fabs (- m n)) (fabs (- m n))) (* l (+ l (fabs (- m n))))) (* (+ (/ (+ n m) 2) M) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* (/ M 2) (+ n m)) (* M M))))) * [exit]simplify: Simplified to (* (+ (* (fabs (- m n)) (fabs (- m n))) (* l (+ l (fabs (- m n))))) (* (+ (/ (+ n m) 2) M) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* (/ M 2) (+ n m)) (* M M))))) * * * * [misc]progress: [ 49 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow l 3) (pow (fabs (- m n)) 3)) (* (+ (/ (+ n m) 2) M) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))))) (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (pow (/ (+ n m) 2) 3) (pow M 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow l 3) (pow (fabs (- m n)) 3)) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (/ (+ m n) (/ 2 M)) (* M M)))) (+ (/ (+ m n) 2) M)) (* (+ (* l l) (* (+ (fabs (- m n)) l) (fabs (- m n)))) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))))) * [exit]simplify: Simplified to (+ (* (* (- (pow l 3) (pow (fabs (- m n)) 3)) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (/ (+ m n) (/ 2 M)) (* M M)))) (+ (/ (+ m n) 2) M)) (* (+ (* l l) (* (+ (fabs (- m n)) l) (fabs (- m n)))) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))))) * [enter]simplify: Simplifying (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (* (+ (/ (+ n m) 2) M) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (* (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n)))) (* (+ M (/ (+ n m) 2)) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ M 2) (+ n m)))))) * [exit]simplify: Simplified to (* (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n)))) (* (+ M (/ (+ n m) 2)) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ M 2) (+ n m)))))) * * * * [misc]progress: [ 50 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow l 3) (pow (fabs (- m n)) 3)) (* (+ (/ (+ n m) 2) M) (+ (/ (+ n m) 2) M))) (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (+ (* (+ (* l l) (* (+ (fabs (- m n)) l) (fabs (- m n)))) (* (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (- (pow l 3) (pow (fabs (- m n)) 3)))) * [exit]simplify: Simplified to (+ (* (+ (* l l) (* (+ (fabs (- m n)) l) (fabs (- m n)))) (* (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (- (pow l 3) (pow (fabs (- m n)) 3)))) * [enter]simplify: Simplifying (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (* (+ (/ (+ n m) 2) M) (+ (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (* (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n))))) * [exit]simplify: Simplified to (* (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n))))) * * * * [misc]progress: [ 51 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow l 3) (pow (fabs (- m n)) 3)) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))) (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (* (- (/ (+ n m) 2) M) (- (pow (/ (+ n m) 2) 3) (pow M 3))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (/ (+ m n) (/ 2 M)))) (- (pow l 3) (pow (fabs (- m n)) 3))) (* (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (+ (* (+ (fabs (- m n)) l) l) (* (fabs (- m n)) (fabs (- m n)))))) * [exit]simplify: Simplified to (+ (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (/ (+ m n) (/ 2 M)))) (- (pow l 3) (pow (fabs (- m n)) 3))) (* (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (+ (* (+ (fabs (- m n)) l) l) (* (fabs (- m n)) (fabs (- m n)))))) * [enter]simplify: Simplifying (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (/ (+ n m) (/ 2 M)) (* M M))) (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n))))) * [exit]simplify: Simplified to (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (/ (+ n m) (/ 2 M)) (* M M))) (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n))))) * * * * [misc]progress: [ 52 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow l 3) (pow (fabs (- m n)) 3)) (+ (/ (+ n m) 2) M)) (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (* (- (/ (+ n m) 2) M) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (+ (* (+ (* l (+ (fabs (- m n)) l)) (* (fabs (- m n)) (fabs (- m n)))) (* (+ (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (+ (/ (+ m n) 2) M) (- (pow l 3) (pow (fabs (- m n)) 3)))) * [exit]simplify: Simplified to (+ (* (+ (* l (+ (fabs (- m n)) l)) (* (fabs (- m n)) (fabs (- m n)))) (* (+ (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (+ (/ (+ m n) 2) M) (- (pow l 3) (pow (fabs (- m n)) 3)))) * [enter]simplify: Simplifying (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (+ (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (* (+ M (/ (+ n m) 2)) (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n))))) * [exit]simplify: Simplified to (* (+ M (/ (+ n m) 2)) (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n))))) * * * * [misc]progress: [ 53 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow l 3) (pow (fabs (- m n)) 3)) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))) (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (/ (+ m n) (/ 2 M)))) (- (pow l 3) (pow (fabs (- m n)) 3))) (* (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (+ (* (+ (fabs (- m n)) l) l) (* (fabs (- m n)) (fabs (- m n)))))) * [exit]simplify: Simplified to (+ (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (/ (+ m n) (/ 2 M)))) (- (pow l 3) (pow (fabs (- m n)) 3))) (* (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (+ (* (+ (fabs (- m n)) l) l) (* (fabs (- m n)) (fabs (- m n)))))) * [enter]simplify: Simplifying (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (/ (+ n m) (/ 2 M)) (* M M))) (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n))))) * [exit]simplify: Simplified to (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (/ (+ n m) (/ 2 M)) (* M M))) (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n))))) * * * * [misc]progress: [ 54 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow l 3) (pow (fabs (- m n)) 3)) (+ (/ (+ n m) 2) M)) (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (+ (* (+ (* l (+ (fabs (- m n)) l)) (* (fabs (- m n)) (fabs (- m n)))) (* (- (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)))) (* (+ (/ (+ m n) 2) M) (- (pow l 3) (pow (fabs (- m n)) 3)))) * [exit]simplify: Simplified to (+ (* (+ (* l (+ (fabs (- m n)) l)) (* (fabs (- m n)) (fabs (- m n)))) (* (- (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)))) (* (+ (/ (+ m n) 2) M) (- (pow l 3) (pow (fabs (- m n)) 3)))) * [enter]simplify: Simplifying (* (+ (* l l) (+ (* (fabs (- m n)) (fabs (- m n))) (* l (fabs (- m n))))) (+ (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (* (+ M (/ (+ n m) 2)) (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n))))) * [exit]simplify: Simplified to (* (+ M (/ (+ n m) 2)) (+ (* l (+ l (fabs (- m n)))) (* (fabs (- m n)) (fabs (- m n))))) * * * * [misc]progress: [ 55 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* l l) (* (fabs (- m n)) (fabs (- m n)))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))))) (* (+ l (fabs (- m n))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (pow (/ (+ n m) 2) 3) (pow M 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* l l) (* (fabs (- m n)) (fabs (- m n)))) (+ (+ (/ (+ n m) (/ 2 M)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (+ (+ (/ (+ n m) (/ 2 M)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (* (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (+ l (fabs (- m n)))) (- (pow (/ (+ n m) 2) 3) (pow M 3)))) * [exit]simplify: Simplified to (+ (* (* (- (* l l) (* (fabs (- m n)) (fabs (- m n)))) (+ (+ (/ (+ n m) (/ 2 M)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (+ (+ (/ (+ n m) (/ 2 M)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (* (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (+ l (fabs (- m n)))) (- (pow (/ (+ n m) 2) 3) (pow M 3)))) * [enter]simplify: Simplifying (* (+ l (fabs (- m n))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (* (* (+ (fabs (- m n)) l) (+ (+ (* M M) (* (/ M 2) (+ m n))) (* (/ (+ m n) 2) (/ (+ m n) 2)))) (+ (+ (* M M) (* (/ M 2) (+ m n))) (* (/ (+ m n) 2) (/ (+ m n) 2)))) * [exit]simplify: Simplified to (* (* (+ (fabs (- m n)) l) (+ (+ (* M M) (* (/ M 2) (+ m n))) (* (/ (+ m n) 2) (/ (+ m n) 2)))) (+ (+ (* M M) (* (/ M 2) (+ m n))) (* (/ (+ m n) 2) (/ (+ m n) 2)))) * * * * [misc]progress: [ 56 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* l l) (* (fabs (- m n)) (fabs (- m n)))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (/ (+ n m) 2) M))) (* (+ l (fabs (- m n))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (* (+ l (fabs (- m n))) (+ (* (* (+ M (/ (+ n m) 2)) (- l (fabs (- m n)))) (+ (+ (/ (+ n m) (/ 2 M)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (* (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2))) (- (pow (/ (+ n m) 2) 3) (pow M 3))))) * [exit]simplify: Simplified to (* (+ l (fabs (- m n))) (+ (* (* (+ M (/ (+ n m) 2)) (- l (fabs (- m n)))) (+ (+ (/ (+ n m) (/ 2 M)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (* (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2))) (- (pow (/ (+ n m) 2) 3) (pow M 3))))) * [enter]simplify: Simplifying (* (+ l (fabs (- m n))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (* (* (+ (/ (+ m n) 2) M) (+ (fabs (- m n)) l)) (+ (+ (* M M) (* (/ M 2) (+ m n))) (* (/ (+ m n) 2) (/ (+ m n) 2)))) * [exit]simplify: Simplified to (* (* (+ (/ (+ m n) 2) M) (+ (fabs (- m n)) l)) (+ (+ (* M M) (* (/ M 2) (+ m n))) (* (/ (+ m n) 2) (/ (+ m n) 2)))) * * * * [misc]progress: [ 57 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* l l) (* (fabs (- m n)) (fabs (- m n)))) (* (+ (/ (+ n m) 2) M) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))))) (* (+ l (fabs (- m n))) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (pow (/ (+ n m) 2) 3) (pow M 3))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (* (+ l (fabs (- m n))) (+ (* (* (+ M (/ (+ n m) 2)) (- l (fabs (- m n)))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (/ (+ n m) (/ 2 M))))) (* (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2))) (- (pow (/ (+ n m) 2) 3) (pow M 3))))) * [exit]simplify: Simplified to (* (+ l (fabs (- m n))) (+ (* (* (+ M (/ (+ n m) 2)) (- l (fabs (- m n)))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (/ (+ n m) (/ 2 M))))) (* (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2))) (- (pow (/ (+ n m) 2) 3) (pow M 3))))) * [enter]simplify: Simplifying (* (+ l (fabs (- m n))) (* (+ (/ (+ n m) 2) M) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (* (* (+ M (/ (+ m n) 2)) (+ (fabs (- m n)) l)) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (/ (+ m n) (/ 2 M)) (* M M)))) * [exit]simplify: Simplified to (* (* (+ M (/ (+ m n) 2)) (+ (fabs (- m n)) l)) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (/ (+ m n) (/ 2 M)) (* M M)))) * * * * [misc]progress: [ 58 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* l l) (* (fabs (- m n)) (fabs (- m n)))) (* (+ (/ (+ n m) 2) M) (+ (/ (+ n m) 2) M))) (* (+ l (fabs (- m n))) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (* (+ l (fabs (- m n))) (+ (* (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) (- l (fabs (- m n)))) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))))) * [exit]simplify: Simplified to (* (+ l (fabs (- m n))) (+ (* (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) (- l (fabs (- m n)))) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))))) * [enter]simplify: Simplifying (* (+ l (fabs (- m n))) (* (+ (/ (+ n m) 2) M) (+ (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (* (* (+ M (/ (+ m n) 2)) (+ (fabs (- m n)) l)) (+ M (/ (+ m n) 2))) * [exit]simplify: Simplified to (* (* (+ M (/ (+ m n) 2)) (+ (fabs (- m n)) l)) (+ M (/ (+ m n) 2))) * * * * [misc]progress: [ 59 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* l l) (* (fabs (- m n)) (fabs (- m n)))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))) (* (+ l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (pow (/ (+ n m) 2) 3) (pow M 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (- l (fabs (- m n))) (+ l (fabs (- m n)))) (+ (+ (* (/ M 2) (+ n m)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (* (- (/ (+ n m) 2) M) (+ l (fabs (- m n)))))) * [exit]simplify: Simplified to (+ (* (* (- l (fabs (- m n))) (+ l (fabs (- m n)))) (+ (+ (* (/ M 2) (+ n m)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (* (- (/ (+ n m) 2) M) (+ l (fabs (- m n)))))) * [enter]simplify: Simplifying (* (+ l (fabs (- m n))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (* (+ (fabs (- m n)) l) (+ (+ (* M M) (/ (+ m n) (/ 2 M))) (* (/ (+ m n) 2) (/ (+ m n) 2)))) * [exit]simplify: Simplified to (* (+ (fabs (- m n)) l) (+ (+ (* M M) (/ (+ m n) (/ 2 M))) (* (/ (+ m n) 2) (/ (+ m n) 2)))) * * * * [misc]progress: [ 60 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* l l) (* (fabs (- m n)) (fabs (- m n)))) (+ (/ (+ n m) 2) M)) (* (+ l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (+ (* (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2))) (* (+ l (fabs (- m n))) (- (/ (+ n m) 2) M))) (* (+ l (fabs (- m n))) (* (+ M (/ (+ n m) 2)) (- l (fabs (- m n)))))) * [exit]simplify: Simplified to (+ (* (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2))) (* (+ l (fabs (- m n))) (- (/ (+ n m) 2) M))) (* (+ l (fabs (- m n))) (* (+ M (/ (+ n m) 2)) (- l (fabs (- m n)))))) * [enter]simplify: Simplifying (* (+ l (fabs (- m n))) (+ (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (+ M (/ (+ m n) 2)) (+ (fabs (- m n)) l)) * [exit]simplify: Simplified to (* (+ M (/ (+ m n) 2)) (+ (fabs (- m n)) l)) * * * * [misc]progress: [ 61 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* l l) (* (fabs (- m n)) (fabs (- m n)))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))) (* (+ l (fabs (- m n))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (- l (fabs (- m n))) (+ l (fabs (- m n)))) (+ (+ (* (/ M 2) (+ n m)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (* (- (/ (+ n m) 2) M) (+ l (fabs (- m n)))))) * [exit]simplify: Simplified to (+ (* (* (- l (fabs (- m n))) (+ l (fabs (- m n)))) (+ (+ (* (/ M 2) (+ n m)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (* (- (/ (+ n m) 2) M) (+ l (fabs (- m n)))))) * [enter]simplify: Simplifying (* (+ l (fabs (- m n))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (* (+ (fabs (- m n)) l) (+ (+ (* M M) (/ (+ m n) (/ 2 M))) (* (/ (+ m n) 2) (/ (+ m n) 2)))) * [exit]simplify: Simplified to (* (+ (fabs (- m n)) l) (+ (+ (* M M) (/ (+ m n) (/ 2 M))) (* (/ (+ m n) 2) (/ (+ m n) 2)))) * * * * [misc]progress: [ 62 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* l l) (* (fabs (- m n)) (fabs (- m n)))) (+ (/ (+ n m) 2) M)) (* (+ l (fabs (- m n))) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (488 enodes) * [exit]simplify: Simplified to (+ (* (* (+ l (fabs (- m n))) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2)))) (* (+ M (/ (+ n m) 2)) (* (+ l (fabs (- m n))) (- l (fabs (- m n)))))) * [exit]simplify: Simplified to (+ (* (* (+ l (fabs (- m n))) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2)))) (* (+ M (/ (+ n m) 2)) (* (+ l (fabs (- m n))) (- l (fabs (- m n)))))) * [enter]simplify: Simplifying (* (+ l (fabs (- m n))) (+ (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (+ M (/ (+ m n) 2)) (+ (fabs (- m n)) l)) * [exit]simplify: Simplified to (* (+ M (/ (+ m n) 2)) (+ (fabs (- m n)) l)) * * * * [misc]progress: [ 63 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (- l (fabs (- m n))) 3) (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 3)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (+ (pow (- l (fabs (- m n))) 3) (pow (- (/ (+ m n) 2) M) (+ 1 (+ (+ 1 1) 3)))) * [exit]simplify: Simplified to (+ (pow (- l (fabs (- m n))) 3) (pow (- (/ (+ m n) 2) M) (+ 1 (+ (+ 1 1) 3)))) * [enter]simplify: Simplifying (+ (* (- l (fabs (- m n))) (- l (fabs (- m n)))) (- (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (+ (* (- l (fabs (- m n))) (- l (fabs (- m n)))) (pow (- (/ (+ m n) 2) M) (+ 3 1))) (* (* (- (/ (+ m n) 2) M) (- l (fabs (- m n)))) (- (/ (+ m n) 2) M))) * [exit]simplify: Simplified to (- (+ (* (- l (fabs (- m n))) (- l (fabs (- m n)))) (pow (- (/ (+ m n) 2) M) (+ 3 1))) (* (* (- (/ (+ m n) 2) M) (- l (fabs (- m n)))) (- (/ (+ m n) 2) M))) * * * * [misc]progress: [ 64 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- l (fabs (- m n))) (- l (fabs (- m n)))) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (* (- l (fabs (- m n))) (- l (fabs (- m n)))) (pow (- (/ (+ m n) 2) M) (+ 3 1))) * [exit]simplify: Simplified to (- (* (- l (fabs (- m n))) (- l (fabs (- m n)))) (pow (- (/ (+ m n) 2) M) (+ 3 1))) * [enter]simplify: Simplifying (- (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) * [exit]simplify: Simplified to (- (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) * * * * [misc]progress: [ 66 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (- l (fabs (- m n)))) * [exit]simplify: Simplified to (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (- l (fabs (- m n)))) * * * * [misc]progress: [ 67 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- l (fabs (- m n))) (* (/ (+ n m) 2) (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (- l (fabs (- m n)))) * [exit]simplify: Simplified to (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (- l (fabs (- m n)))) * * * * [misc]progress: [ 68 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (- (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (+ (- (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 69 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fabs (- m n)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (- (fabs (- m n)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 70 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 72 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) * * * * [misc]progress: [ 73 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 75 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ m n) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ m n) 2) M))) * * * * [misc]progress: [ 77 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) * [exit]simplify: Simplified to (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) * * * * [misc]progress: [ 78 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) * [exit]simplify: Simplified to (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) * * * * [misc]progress: [ 79 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (pow (- (/ (+ m n) 2) M) (+ 1 (+ (+ 1 3) 1))) * [exit]simplify: Simplified to (pow (- (/ (+ m n) 2) M) (+ 1 (+ (+ 1 3) 1))) * * * * [misc]progress: [ 80 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [enter]simplify: Simplifying (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) * * * * [misc]progress: [ 81 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (pow (- (/ (+ m n) 2) M) (+ (+ 3 (+ 1 1)) 1)) * [exit]simplify: Simplified to (pow (- (/ (+ m n) 2) M) (+ (+ 3 (+ 1 1)) 1)) * * * * [misc]progress: [ 82 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ m n) 2) M)) * [enter]simplify: Simplifying (sqrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ m n) 2) M)) * * * * [misc]progress: [ 83 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (pow (/ (+ n m) 2) 3) (pow M 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) * [exit]simplify: Simplified to (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) * [enter]simplify: Simplifying (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (* (+ (+ (/ (+ m n) (/ 2 M)) (* M M)) (* (/ (+ m n) 2) (/ (+ m n) 2))) (+ (+ (/ (+ m n) (/ 2 M)) (* M M)) (* (/ (+ m n) 2) (/ (+ m n) 2)))) * [exit]simplify: Simplified to (* (+ (+ (/ (+ m n) (/ 2 M)) (* M M)) (* (/ (+ m n) 2) (/ (+ m n) 2))) (+ (+ (/ (+ m n) (/ 2 M)) (* M M)) (* (/ (+ m n) 2) (/ (+ m n) 2)))) * * * * [misc]progress: [ 84 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (* (+ M (/ (+ m n) 2)) (- (/ (+ m n) 2) M))) * [exit]simplify: Simplified to (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (* (+ M (/ (+ m n) 2)) (- (/ (+ m n) 2) M))) * [enter]simplify: Simplifying (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (* (+ (/ (+ m n) 2) M) (+ (+ (* (+ m n) (/ M 2)) (* M M)) (* (/ (+ m n) 2) (/ (+ m n) 2)))) * [exit]simplify: Simplified to (* (+ (/ (+ m n) 2) M) (+ (+ (* (+ m n) (/ M 2)) (* M M)) (* (/ (+ m n) 2) (/ (+ m n) 2)))) * * * * [misc]progress: [ 85 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (pow (/ (+ n m) 2) 3) (pow M 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (434 enodes) * [exit]simplify: Simplified to (* (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) * [exit]simplify: Simplified to (* (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) * [enter]simplify: Simplifying (* (+ (/ (+ n m) 2) M) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (* (+ (+ (/ (+ m n) (/ 2 M)) (* M M)) (* (/ (+ m n) 2) (/ (+ m n) 2))) (+ (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (* (+ (+ (/ (+ m n) (/ 2 M)) (* M M)) (* (/ (+ m n) 2) (/ (+ m n) 2))) (+ (/ (+ m n) 2) M)) * * * * [misc]progress: [ 86 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (* (* (- (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M))) * [exit]simplify: Simplified to (* (* (- (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M))) * [enter]simplify: Simplifying (* (+ (/ (+ n m) 2) M) (+ (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) * * * * [misc]progress: [ 87 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) * [enter]simplify: Simplifying (* (- (/ (+ n m) 2) M) (- M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (- M) (- (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (* (- M) (- (/ (+ m n) 2) M)) * * * * [misc]progress: [ 89 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) * [enter]simplify: Simplifying (* (- M) (- (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (- (/ (+ m n) 2) M) (- M)) * [exit]simplify: Simplified to (* (- (/ (+ m n) 2) M) (- M)) * * * * [misc]progress: [ 90 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ n m) 2) M) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) * [exit]simplify: Simplified to (* (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) * * * * [misc]progress: [ 91 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) * * * * [misc]progress: [ 92 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ n m) 2) M) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (/ (+ m n) 2) M) * [exit]simplify: Simplified to (- (/ (+ m n) 2) M) * * * * [misc]progress: [ 93 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) * * * * [misc]progress: [ 94 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) * * * * [misc]progress: [ 95 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) * * * * [misc]progress: [ 96 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ n m) 2) M) (- (pow (/ (+ n m) 2) 3) (pow M 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) * * * * [misc]progress: [ 97 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ n m) 2) M) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (+ (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) * [exit]simplify: Simplified to (* (+ (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) * * * * [misc]progress: [ 98 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) * [exit]simplify: Simplified to (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) * * * * [misc]progress: [ 99 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (/ (+ n m) 2) M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) * [exit]simplify: Simplified to (* (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) * * * * [misc]progress: [ 100 / 100 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # #) * [misc]regimes: searching between -3.653191116193967e+305 and -inf.0 on (- (/ (* K (+ m n)) 2) M) * [misc]regimes: searching between 4.0009193320351597e+279 and 1.8412229826928961e+267 on (- (/ (* K (+ m n)) 2) M) * [misc]regimes: searching between -2.0753791720921747e+94 and -4.82729109825097e+96 on K * [misc]regimes: searching between 4.510236579533661e-38 and 9.224748068472053e-39 on K * [misc]regimes: searching between -7.324777576348598e+156 and -2.630392006455411e+159 on m * [misc]regimes: searching between 8620481358129.679 and 100861632685.55927 on m * [misc]regimes: searching between -5.8075549095828375e-37 and -4.112964941137976e-18 on n * [misc]regimes: searching between 1.7526540806892072e+220 and 8.708868037394154e+207 on n * [misc]regimes: searching between -5.43190767024992e+176 and -7.597849095093828e+182 on M * [misc]regimes: searching between -2.149202034765919e-32 and -1.055926607667283e-31 on M * [misc]regimes: searching between -3.631230018387763e-120 and -6.839605979200495e-118 on M * [misc]regimes: searching between -1.9079402164531318e-292 and -1.0147261835274054e-286 on M * [misc]regimes: searching between 1.5487433188553404e-229 and 7.894315046684672e-231 on M * [misc]regimes: searching between 1.3043889507344577e-14 and 2.74084816432034e-15 on M * [misc]regimes: searching between 4.7626804106538514e+250 and 1.0942077397474137e+249 on M * [misc]regimes: searching between -9.877994298231191e-54 and -1.3288504403720768e-53 on l * [misc]regimes: searching between -1.5825288074252992e-155 and -1.082614028386092e-152 on l * [misc]regimes: searching between -5.528628485996862e-267 and -6.03119625898836e-252 on l * [misc]regimes: searching between 6.819913354327987e-226 and 8.991445395773836e-231 on l * [misc]regimes: Found splitpoints: (#s(sp 0 (- (/ (* K (+ m n)) 2) M) -inf.0) #s(sp 1 (- (/ (* K (+ m n)) 2) M) 3.750861873783077e+279) #s(sp 0 (- (/ (* K (+ m n)) 2) M) +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 (- (/ (* K (+ m n)) 2) M) -inf.0)) (#s(sp 1 (- (/ (* K (+ m n)) 2) M) 3.750861873783077e+279) . #s(sp 0 (- (/ (* K (+ m n)) 2) M) +inf.0))) * [misc]splitpoints: intervals are: ((#s(sp 0 (- (/ (* K (+ m n)) 2) M) -inf.0) . #s(sp 1 (- (/ (* K (+ m n)) 2) M) 3.750861873783077e+279))) * [enter]simplify: Simplifying (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [exit]simplify: Simplified to (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [enter]simplify: Simplifying (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [enter]simplify: Simplifying (cos (/ 1 M)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cos (/ 1 M)) * [exit]simplify: Simplified to (cos (/ 1 M)) * [enter]simplify: Simplifying (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * [exit]simplify: Simplified to (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * [enter]simplify: Simplifying (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (- (* (/ K 2) (+ m n)) M)))) (cbrt (cbrt (cos (- (* (/ K 2) (+ m n)) M))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (- (* (/ K 2) (+ m n)) M)))) (cbrt (cbrt (cos (- (* (/ K 2) (+ m n)) M))))) * [enter]simplify: Simplifying (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (cbrt (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [exit]simplify: Simplified to (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [enter]simplify: Simplifying (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [enter]simplify: Simplifying (* (cbrt (cos (+ (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (+ (/ 1 M) (/ (+ (/ 1/2 m) (/ 1/2 n)) K)))) (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))))) * [exit]simplify: Simplified to (* (cbrt (cos (+ (/ 1 M) (/ (+ (/ 1/2 m) (/ 1/2 n)) K)))) (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))))) * [enter]simplify: Simplifying (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))