* [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 (- (- (sqr (- (/ (+ m n) 2) M))) (- 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))) (/ (cos (- (/ (+ m n) (/ 2 K)) M)) (exp (- l (fabs (- m n)))))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [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 (sqr n)) (+ (* 1/8 (sqr m)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (sqr n)) (+ (* 1/8 (sqr m)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (sqr n))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (sqr m)))))) * [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)) (sqr n))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (sqr m)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (sqr n))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (sqr m)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (sqr n))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (sqr m)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (sqr n))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (sqr m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (sqr n))) 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)) (sqr n)) 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 (sqr n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (sqr m)))) 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)) (sqr m))) 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)) (sqr 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 (sqr 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 (* (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 n) into (sqr n) * [misc]backup-simplify: Simplify (* (cos (- M)) (sqr n)) into (* (cos (- M)) (sqr n)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (sqr n))) into (* 1/8 (* (cos (- M)) (sqr 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 (* 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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (cos (- M)) (sqr n))) 0) into (* 1/8 (* (cos (- M)) (sqr n))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (sqr n)))) into (- (* 1/8 (* (cos (- M)) (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (sqr n))) 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)) (sqr n)) 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 (sqr 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 (* (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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* (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 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 1 1) * [misc]approximate: Taking taylor expansion of (sqr (- (/ (+ m n) 2) M)) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ 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]taylor: Taking taylor expansion of (sqr (- (/ (+ 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]taylor: Taking taylor expansion of (sqr (- (/ (+ 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]taylor: Taking taylor expansion of (sqr (- (/ (+ 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 (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (sqr (- (* 1/2 n) M)) * [misc]taylor: Taking taylor expansion of (sqr (- (* 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 (* (- M) (- M)) into (sqr M) * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 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 (+ (* 1/2 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 (+ (* (- M) 1/2) (* 1/2 (- 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 1) (* 1 0)) 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 (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) 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 (sqr (* 1 (* n 1)))) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (sqr (* 1 (* 1 m)))))) into (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (* 1/2 (* n m)))) * [misc]approximate: Taking taylor expansion of (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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 (* 1/2 1/2) 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)))) 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 (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) 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]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 (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))) (/ 1 (* M n))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (sqr M)) in n * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (/ 1 (sqr M)) into (/ 1 (sqr M)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr n))) 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 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 (* 1/4 1) 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 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 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 (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) 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 1) (* 0 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 n) (/ 0 n)) (* 0 (/ 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)) (* 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 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) 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 0) (+ (* 0 1) (* 0 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 (+ (/ 1 (sqr M)) 0) into (/ 1 (sqr M)) * [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 (sqr M)) 0) into (/ 1 (sqr M)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr M)) in M * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [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 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (sqr (* (/ 1 (/ 1 M)) (* 1 1)))))) into (- (sqr M) (+ (* M n) (* M m))) * [misc]approximate: Taking taylor expansion of (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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 (* -1/2 -1/2) 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 (- (+ (* -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 (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) 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]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 (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))) (/ 1 (* M n))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (sqr M)) in n * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (/ 1 (sqr M)) into (/ 1 (sqr M)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr n))) 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 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 (* 1/4 1) 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 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 (- 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 (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) 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 1) (* 0 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 (- 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 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 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 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) 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 0) (+ (* 0 1) (* 0 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 (+ (/ 1 (sqr M)) 0) into (/ 1 (sqr M)) * [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 (sqr M)) 0) into (/ 1 (sqr M)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr M)) in M * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [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 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (sqr (* (/ 1 (/ 1 (- M))) (* 1 1)))))) into (- (sqr M) (+ (* M n) (* M m))) * * * * [misc]progress: [ 3 / 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: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) in (K m n M l) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) in l * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in l * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in l * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in l * [misc]taylor: Taking taylor expansion of K in l * [misc]backup-simplify: Simplify K into K * [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 (* 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 l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) (- M)) into (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) * [misc]backup-simplify: Simplify (sin (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) into (sin (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) * [misc]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))) in l * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))) in l * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ m n) 2) M))) in l * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ 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]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]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 (sqr (- (+ (* 1/2 n) (* 1/2 m)) M)) * [misc]backup-simplify: Simplify (- (sqr (- (+ (* 1/2 n) (* 1/2 m)) M))) into (- (+ (* M m) (* M n)) (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (+ (sqr M) (* 1/2 (* n 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 (- (- (fabs (- m n)))) into (fabs (- m n)) * [misc]backup-simplify: Simplify (+ (- (+ (* M m) (* M n)) (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (+ (sqr M) (* 1/2 (* n m)))))) (fabs (- m n))) into (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ (sqr M) (* 1/2 (* n m)))))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ (sqr M) (* 1/2 (* n m))))))) into (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ (sqr M) (* 1/2 (* n m))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))) in M * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))) in M * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ 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]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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (* (+ (* 1/2 n) (* 1/2 m)) (+ (* 1/2 n) (* 1/2 m))) into (sqr (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (- (sqr (+ (* 1/2 n) (* 1/2 m)))) into (- (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (* 1/2 (* n m))))) * [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 (+ (- (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (* 1/2 (* n m))))) (- (fabs (- m n)) l)) into (- (fabs (- m n)) (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (+ l (* 1/2 (* n m)))))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (+ l (* 1/2 (* n m))))))) into (exp (- (fabs (- m n)) (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (+ l (* 1/2 (* n m))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))) in n * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))) in n * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ 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]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]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 (sqr (- (* 1/2 m) M)) * [misc]backup-simplify: Simplify (- (sqr (- (* 1/2 m) M))) into (- (* M m) (+ (* 1/4 (sqr m)) (sqr M))) * [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 m) (+ (* 1/4 (sqr m)) (sqr M))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (* M m)) (+ (* 1/4 (sqr m)) (+ (sqr M) l))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* M m)) (+ (* 1/4 (sqr m)) (+ (sqr M) l)))) into (exp (- (+ (fabs (- m n)) (* M m)) (+ (* 1/4 (sqr m)) (+ l (sqr M))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))) in m * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ 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]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 (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (sqr (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (- (sqr (- (* 1/2 n) M))) into (- (* M n) (+ (* 1/4 (sqr n)) (sqr M))) * [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 (sqr n)) (sqr M))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))) in K * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))) in K * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ m n) 2) M))) in K * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ m n) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in K * [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 (/ (+ 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 (- l (fabs (- m n))) in K * [misc]taylor: Taking taylor expansion of l in K * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in K * [misc]backup-simplify: Simplify (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 (* (- (+ (* 1/2 n) (* 1/2 m)) M) (- (+ (* 1/2 n) (* 1/2 m)) M)) into (sqr (- (+ (* 1/2 n) (* 1/2 m)) M)) * [misc]backup-simplify: Simplify (- (sqr (- (+ (* 1/2 n) (* 1/2 m)) M))) into (- (+ (* M m) (* M n)) (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (+ (sqr M) (* 1/2 (* n m)))))) * [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 m) (* M n)) (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (+ (sqr M) (* 1/2 (* n m)))))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) into (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))) in K * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))) in K * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ m n) 2) M))) in K * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ m n) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in K * [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 (/ (+ 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 (- l (fabs (- m n))) in K * [misc]taylor: Taking taylor expansion of l in K * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in K * [misc]backup-simplify: Simplify (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 (* (- (+ (* 1/2 n) (* 1/2 m)) M) (- (+ (* 1/2 n) (* 1/2 m)) M)) into (sqr (- (+ (* 1/2 n) (* 1/2 m)) M)) * [misc]backup-simplify: Simplify (- (sqr (- (+ (* 1/2 n) (* 1/2 m)) M))) into (- (+ (* M m) (* M n)) (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (+ (sqr M) (* 1/2 (* n m)))))) * [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 m) (* M n)) (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (+ (sqr M) (* 1/2 (* n m)))))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) into (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n 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 (* (cos (- M)) (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))))))) into (* (cos (- M)) (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* 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 (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))))) in m * [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]taylor: Taking taylor expansion of (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr 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 (sqr 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]taylor: Taking taylor expansion of (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ l (+ (sqr M) (* 1/2 (* n m)))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (+ (sqr M) (* 1/2 (* n m))) in m * [misc]taylor: Taking taylor expansion of (sqr 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 (* 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]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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (* 1/4 (sqr n)) into (* 1/4 (sqr n)) * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr M) 0) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ (* 1/4 (sqr n)) (+ l (sqr M))) into (+ (* 1/4 (sqr n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/4 (sqr n)) (+ l (sqr M)))) into (+ (* 1/4 (sqr n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (- (+ (* 1/4 (sqr n)) (+ l (sqr M)))) into (- (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (+ (+ (fabs (- m n)) (* M n)) (- (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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 (* (cos (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))) into (* (cos (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))) * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) 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 (+ (* 1/4 (sqr n)) (+ l (sqr M))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr 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]taylor: Taking taylor expansion of (+ l (sqr M)) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ 0 (+ l (sqr M))) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (- (+ l (sqr M))) into (- (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (sqr M)))) into (- (fabs (- m n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ l (sqr M)))) into (exp (- (fabs (- m n)) (+ l (sqr 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 (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))) into (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))) * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr 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]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ l (sqr M)))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ l (sqr 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 (+ l (sqr M)) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [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]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [misc]backup-simplify: Simplify (* 1 (exp (- (fabs (- m n)) l))) into (exp (- (fabs (- m n)) l)) * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) l)) in 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 (exp (fabs (- m n))) into (exp (fabs (- m n))) * [misc]backup-simplify: Simplify (exp (fabs (- m n))) into (exp (fabs (- m n))) * [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 (- 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]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1/2 (+ 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 (+ (* (cos (- M)) 0) (* (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))))) into (- (+ (* 1/2 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (sin (- M)) n))) (* 1/2 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (sin (- M)) m))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (sin (- M)) n))) (* 1/2 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (sin (- M)) m))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (sin (- M)) n))) (* 1/2 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (sin (- M)) m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (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 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))))) in m * [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]taylor: Taking taylor expansion of (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr 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 (sqr 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]taylor: Taking taylor expansion of (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ l (+ (sqr M) (* 1/2 (* n m)))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (+ (sqr M) (* 1/2 (* n m))) in m * [misc]taylor: Taking taylor expansion of (sqr 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 (* 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]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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (* 1/4 (sqr n)) into (* 1/4 (sqr n)) * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr M) 0) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ (* 1/4 (sqr n)) (+ l (sqr M))) into (+ (* 1/4 (sqr n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/4 (sqr n)) (+ l (sqr M)))) into (+ (* 1/4 (sqr n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (- (+ (* 1/4 (sqr n)) (+ l (sqr M)))) into (- (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (+ (+ (fabs (- m n)) (* M n)) (- (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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 (* 1/2 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (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 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))))) in m * [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]taylor: Taking taylor expansion of (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr 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 (sqr 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]taylor: Taking taylor expansion of (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ l (+ (sqr M) (* 1/2 (* n m)))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (+ (sqr M) (* 1/2 (* n m))) in m * [misc]taylor: Taking taylor expansion of (sqr 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 (* 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]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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (* 1/4 (sqr n)) into (* 1/4 (sqr n)) * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr M) 0) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ (* 1/4 (sqr n)) (+ l (sqr M))) into (+ (* 1/4 (sqr n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/4 (sqr n)) (+ l (sqr M)))) into (+ (* 1/4 (sqr n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (- (+ (* 1/4 (sqr n)) (+ l (sqr M)))) into (- (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (+ (+ (fabs (- m n)) (* M n)) (- (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]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 (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (* (sin (- M)) n)) into (* (sin (- M)) (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) n)) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) n))) into (* 1/2 (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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 (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) 0) into (* 1/2 (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) into (- (* 1/2 (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]taylor: Taking taylor expansion of (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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 (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) 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 (+ (* 1/4 (sqr n)) (+ l (sqr M))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr 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]taylor: Taking taylor expansion of (+ l (sqr M)) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ 0 (+ l (sqr M))) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (- (+ l (sqr M))) into (- (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (sqr M)))) into (- (fabs (- m n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ l (sqr M)))) into (exp (- (fabs (- m n)) (+ l (sqr 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 (exp (- (fabs (- m n)) (+ l (sqr M))))) into 0 * [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]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 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (sqr n))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 M)) 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 (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (- (* 1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (+ M (- (* 1/2 n))) into (- M (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (+ (* (/ (pow (- M (* 1/2 n)) 1) 1)))) into (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (- M (* 1/2 n))) * [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 (+ (* (cos (- M)) (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (- M (* 1/2 n)))) (* 0 (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) into (- (* (cos (- M)) (* M (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) (* 1/2 (* (cos (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) * [misc]taylor: Taking taylor expansion of (- (* (cos (- M)) (* M (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) (* 1/2 (* (cos (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) in n * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* M (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]taylor: Taking taylor expansion of (* M (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) 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 (+ (* 1/4 (sqr n)) (+ l (sqr M))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr 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]taylor: Taking taylor expansion of (+ l (sqr M)) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ 0 (+ l (sqr M))) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (- (+ l (sqr M))) into (- (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (sqr M)))) into (- (fabs (- m n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ l (sqr M)))) into (exp (- (fabs (- m n)) (+ l (sqr M)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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 (* (cos (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]taylor: Taking taylor expansion of (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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 (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) 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 (+ (* 1/4 (sqr n)) (+ l (sqr M))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr 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]taylor: Taking taylor expansion of (+ l (sqr M)) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ 0 (+ l (sqr M))) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (- (+ l (sqr M))) into (- (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (sqr M)))) into (- (fabs (- m n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ l (sqr M)))) into (exp (- (fabs (- m n)) (+ l (sqr 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 (* M (exp (- (fabs (- m n)) (+ l (sqr M))))) into (* M (exp (- (fabs (- m n)) (+ l (sqr M))))) * [misc]backup-simplify: Simplify (* (cos (- M)) (* M (exp (- (fabs (- m n)) (+ l (sqr M)))))) into (* (cos (- M)) (* M (exp (- (fabs (- m n)) (+ l (sqr 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 (* 0 (exp (- (fabs (- m n)) (+ l (sqr M))))) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (* M (exp (- (fabs (- m n)) (+ l (sqr M)))))) 0) into (* (cos (- M)) (* M (exp (- (fabs (- m n)) (+ l (sqr M)))))) * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* M (exp (- (fabs (- m n)) (+ l (sqr 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]taylor: Taking taylor expansion of (* M (exp (- (fabs (- m n)) (+ l (sqr 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]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ l (sqr M)))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ l (sqr 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 (+ l (sqr M)) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [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]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [misc]backup-simplify: Simplify (* 0 (exp (- (fabs (- m n)) l))) into 0 * [misc]backup-simplify: Simplify (* 1 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 (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 M)) 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]backup-simplify: Simplify (* (exp (- (fabs (- m n)) (+ l (sqr M)))) (+ (* (/ (pow M 1) 1)))) into (* M (exp (- (fabs (- m n)) (+ l (sqr 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 (+ (* (cos (- M)) (* M (exp (- (fabs (- m n)) (+ l (sqr M)))))) (* 0 (exp (- (fabs (- m n)) (+ l (sqr M)))))) into (* (cos (- M)) (* M (exp (- (fabs (- m n)) (+ l (sqr M)))))) * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* M (exp (- (fabs (- m n)) (+ l (sqr 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]taylor: Taking taylor expansion of (* M (exp (- (fabs (- m n)) (+ l (sqr 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]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ l (sqr M)))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ l (sqr 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 (+ l (sqr M)) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [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]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [misc]backup-simplify: Simplify (* 0 (exp (- (fabs (- m n)) l))) into 0 * [misc]backup-simplify: Simplify (* 1 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 1) (* 1 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]backup-simplify: Simplify (* (exp (- (fabs (- m n)) l)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (exp (- (fabs (- m n)) l)))) 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 (* (exp (fabs (- m n))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (fabs (- m n)))) * [misc]backup-simplify: Simplify (* -1 (exp (fabs (- m n)))) into (* -1 (exp (fabs (- m n)))) * [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) 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]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (sqr n)) (+ (* 1/8 (sqr m)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (sqr n)) (+ (* 1/8 (sqr m)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (sqr n))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (sqr m)))))) * [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)) (sqr n))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (sqr m)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (sqr n))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (sqr m)))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) 0) (* (- (+ (* 1/8 (* (cos (- M)) (sqr n))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (sqr m)))))) (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))))))))) into (- (+ (* 1/8 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (sqr n)))) (+ (* 1/8 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (sqr m)))) (* 1/4 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (* n m))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (sqr n)))) (+ (* 1/8 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (sqr m)))) (* 1/4 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (* n m))))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (sqr n)))) (+ (* 1/8 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (sqr m)))) (* 1/4 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (* n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (sqr n)))) 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 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (sqr n))) in m * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))))) in m * [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]taylor: Taking taylor expansion of (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr 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 (sqr 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]taylor: Taking taylor expansion of (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ l (+ (sqr M) (* 1/2 (* n m)))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (+ (sqr M) (* 1/2 (* n m))) in m * [misc]taylor: Taking taylor expansion of (sqr 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 (* 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]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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (* 1/4 (sqr n)) into (* 1/4 (sqr n)) * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr M) 0) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ (* 1/4 (sqr n)) (+ l (sqr M))) into (+ (* 1/4 (sqr n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/4 (sqr n)) (+ l (sqr M)))) into (+ (* 1/4 (sqr n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (- (+ (* 1/4 (sqr n)) (+ l (sqr M)))) into (- (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (+ (+ (fabs (- m n)) (* M n)) (- (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (sqr n)) 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 (sqr n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (sqr m)))) (* 1/4 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (* n m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (sqr m)))) 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 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (sqr m))) in m * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))))) in m * [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]taylor: Taking taylor expansion of (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr 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 (sqr 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]taylor: Taking taylor expansion of (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ l (+ (sqr M) (* 1/2 (* n m)))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (+ (sqr M) (* 1/2 (* n m))) in m * [misc]taylor: Taking taylor expansion of (sqr 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 (* 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]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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (* 1/4 (sqr n)) into (* 1/4 (sqr n)) * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr M) 0) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ (* 1/4 (sqr n)) (+ l (sqr M))) into (+ (* 1/4 (sqr n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/4 (sqr n)) (+ l (sqr M)))) into (+ (* 1/4 (sqr n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (- (+ (* 1/4 (sqr n)) (+ l (sqr M)))) into (- (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (+ (+ (fabs (- m n)) (* M n)) (- (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (sqr 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 (sqr 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]taylor: Taking taylor expansion of (* 1/4 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (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 (* (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (+ (* M n) (* M m))) (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))))) in m * [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]taylor: Taking taylor expansion of (+ (* 1/4 (sqr m)) (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr 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 (sqr 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]taylor: Taking taylor expansion of (+ (* 1/4 (sqr n)) (+ l (+ (sqr M) (* 1/2 (* n m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ l (+ (sqr M) (* 1/2 (* n m)))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (+ (sqr M) (* 1/2 (* n m))) in m * [misc]taylor: Taking taylor expansion of (sqr 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 (* 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]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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (* 1/4 (sqr n)) into (* 1/4 (sqr n)) * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr M) 0) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ (* 1/4 (sqr n)) (+ l (sqr M))) into (+ (* 1/4 (sqr n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/4 (sqr n)) (+ l (sqr M)))) into (+ (* 1/4 (sqr n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (- (+ (* 1/4 (sqr n)) (+ l (sqr M)))) into (- (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (+ (+ (fabs (- m n)) (* M n)) (- (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) into (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) * [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]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 n) into (sqr n) * [misc]backup-simplify: Simplify (* (cos (- M)) (sqr n)) into (* (cos (- M)) (sqr n)) * [misc]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (* (cos (- M)) (sqr n))) into (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) into (* 1/8 (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 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 (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) 0) into (* 1/8 (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) into (- (* 1/8 (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) 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)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]taylor: Taking taylor expansion of (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))) in n * [misc]taylor: Taking taylor expansion of (sqr 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]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) 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 (+ (* 1/4 (sqr n)) (+ l (sqr M))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr 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]taylor: Taking taylor expansion of (+ l (sqr M)) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ 0 (+ l (sqr M))) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (- (+ l (sqr M))) into (- (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (sqr M)))) into (- (fabs (- m n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ l (sqr M)))) into (exp (- (fabs (- m n)) (+ l (sqr 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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 (exp (- (fabs (- m n)) (+ l (sqr M))))) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 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 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 (+ (* (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 (+ (* 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (sqr n))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 M)) 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 (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (- (* 1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (+ M (- (* 1/2 n))) into (- M (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (+ (* (/ (pow (- M (* 1/2 n)) 1) 1)))) into (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (- M (* 1/2 n))) * [misc]backup-simplify: Simplify (+ (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) 0) (* (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (- M (* 1/2 n))) (* (sin (- M)) n))) into (- (* M (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) (* 1/2 (* (sin (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* M (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) (* 1/2 (* (sin (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))))) (* 0 (* (sin (- M)) (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) n)))) into (- (* 1/2 (* M (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) (* 1/4 (* (sin (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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)) 1) (* 0 0)) into (sin (- M)) * [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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (sqr n))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 M)) 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 (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (- (* 1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (+ M (- (* 1/2 n))) into (- M (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (+ (* (/ (pow (- M (* 1/2 n)) 1) 1)))) into (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (- M (* 1/2 n))) * [misc]backup-simplify: Simplify (+ (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (sin (- M))) (* (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (- M (* 1/2 n))) 0)) into (* (sin (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) (* 0 0)) into (* 1/2 (* (sin (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (* M (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) (* 1/4 (* (sin (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) (* 1/2 (* (sin (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) into (- (+ (* 1/2 (* (sin (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) (* 1/2 (* M (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))))) (* 1/4 (* (sin (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) * [misc]backup-simplify: Simplify (- (- (+ (* 1/2 (* (sin (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) (* 1/2 (* M (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))))) (* 1/4 (* (sin (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))))) into (- (* 1/4 (* (sin (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) (+ (* 1/2 (* (sin (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) (* 1/2 (* M (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (sin (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) (+ (* 1/2 (* (sin (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) (* 1/2 (* M (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sin (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) 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 (* (sin (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]taylor: Taking taylor expansion of (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))) in n * [misc]taylor: Taking taylor expansion of (sqr 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]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) 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 (+ (* 1/4 (sqr n)) (+ l (sqr M))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr 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]taylor: Taking taylor expansion of (+ l (sqr M)) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ 0 (+ l (sqr M))) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (- (+ l (sqr M))) into (- (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (sqr M)))) into (- (fabs (- m n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ l (sqr M)))) into (exp (- (fabs (- m n)) (+ l (sqr M)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) (* 1/2 (* M (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) 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 (+ (* 1/4 (sqr n)) (+ l (sqr M))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr 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]taylor: Taking taylor expansion of (+ l (sqr M)) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ 0 (+ l (sqr M))) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (- (+ l (sqr M))) into (- (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (sqr M)))) into (- (fabs (- m n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ l (sqr M)))) into (exp (- (fabs (- m n)) (+ l (sqr M)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* M (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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 (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* (sin (- M)) (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]taylor: Taking taylor expansion of (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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 (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) 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 (+ (* 1/4 (sqr n)) (+ l (sqr M))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr 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]taylor: Taking taylor expansion of (+ l (sqr M)) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ 0 (+ l (sqr M))) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (- (+ l (sqr M))) into (- (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (sqr M)))) into (- (fabs (- m n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ l (sqr M)))) into (exp (- (fabs (- m n)) (+ l (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (* 0 (exp (- (fabs (- m n)) (+ l (sqr M))))) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 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)) (exp (- (fabs (- m n)) (+ l (sqr M))))) into (* (sin (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) (exp (- (fabs (- m n)) (+ l (sqr M)))))) into (* 1/2 (* (sin (- M)) (exp (- (fabs (- m n)) (+ l (sqr 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 (exp (- (fabs (- m n)) (+ l (sqr M))))) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) (exp (- (fabs (- m n)) (+ l (sqr M)))))) 0) into (* 1/2 (* (sin (- M)) (exp (- (fabs (- m n)) (+ l (sqr M)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))))) into (- (* 1/2 (* (sin (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (- M)) (exp (- (fabs (- m n)) (+ l (sqr M)))))))) into (- (* 1/2 (* (sin (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) (exp (- (fabs (- m n)) (+ l (sqr 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)) (exp (- (fabs (- m n)) (+ l (sqr 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 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]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ l (sqr M)))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ l (sqr 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 (+ l (sqr M)) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [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]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [misc]backup-simplify: Simplify (* 0 (exp (- (fabs (- m n)) l))) 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 l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (+ (* 0 0) (* 0 0))) into 1/4 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqr n)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (+ (* (/ (pow (- M (* 1/2 n)) 2) 2)) (* (/ (pow -1/4 1) 1)))) into (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (- (+ (* 1/8 (sqr n)) (* 1/2 (sqr M))) (+ 1/4 (* 1/2 (* M n))))) * [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 (+ (* (cos (- M)) (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (- (+ (* 1/8 (sqr n)) (* 1/2 (sqr M))) (+ 1/4 (* 1/2 (* M n)))))) (+ (* 0 (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) (- M (* 1/2 n)))) (* 0 (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) into (- (+ (* 1/8 (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) (* 1/2 (* (cos (- M)) (* (sqr M) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) (+ (* 1/2 (* (cos (- M)) (* M (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) (* 1/4 (* (cos (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) (* 1/2 (* (cos (- M)) (* (sqr M) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) (+ (* 1/2 (* (cos (- M)) (* M (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) (* 1/4 (* (cos (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) (* 1/2 (* (cos (- M)) (* (sqr M) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) 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)) (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]taylor: Taking taylor expansion of (* (sqr n) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))) in n * [misc]taylor: Taking taylor expansion of (sqr 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]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) 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 (+ (* 1/4 (sqr n)) (+ l (sqr M))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr 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]taylor: Taking taylor expansion of (+ l (sqr M)) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ 0 (+ l (sqr M))) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (- (+ l (sqr M))) into (- (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (sqr M)))) into (- (fabs (- m n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ l (sqr M)))) into (exp (- (fabs (- m n)) (+ l (sqr M)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos (- M)) (* (sqr M) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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 (* (cos (- M)) (* (sqr M) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]taylor: Taking taylor expansion of (* (sqr M) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))) in n * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) 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 (+ (* 1/4 (sqr n)) (+ l (sqr M))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr 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]taylor: Taking taylor expansion of (+ l (sqr M)) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ 0 (+ l (sqr M))) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (- (+ l (sqr M))) into (- (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (sqr M)))) into (- (fabs (- m n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ l (sqr M)))) into (exp (- (fabs (- m n)) (+ l (sqr M)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (cos (- M)) (* M (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))))) (* 1/4 (* (cos (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos (- M)) (* M (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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 (* (cos (- M)) (* M (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]taylor: Taking taylor expansion of (* M (* n (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) 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 (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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 (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) 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 (+ (* 1/4 (sqr n)) (+ l (sqr M))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr 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]taylor: Taking taylor expansion of (+ l (sqr M)) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ 0 (+ l (sqr M))) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (- (+ l (sqr M))) into (- (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (sqr M)))) into (- (fabs (- m n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ l (sqr M)))) into (exp (- (fabs (- m n)) (+ l (sqr M)))) * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))))) 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 (* (cos (- M)) (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr 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]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (* 1/4 (sqr n)) (+ l (sqr M)))) 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 (+ (* 1/4 (sqr n)) (+ l (sqr M))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr n)) 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 (sqr 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]taylor: Taking taylor expansion of (+ l (sqr M)) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (+ l (sqr M)) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (+ 0 (+ l (sqr M))) into (+ l (sqr M)) * [misc]backup-simplify: Simplify (- (+ l (sqr M))) into (- (+ l (sqr M))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (sqr M)))) into (- (fabs (- m n)) (+ l (sqr M))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ l (sqr M)))) into (exp (- (fabs (- m n)) (+ l (sqr 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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 (exp (- (fabs (- m n)) (+ l (sqr M))))) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 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 (* M M) into (sqr M) * [misc]backup-simplify: Simplify (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr M))))) into (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr M))))) * [misc]backup-simplify: Simplify (* (cos (- M)) (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr M)))))) into (* (cos (- M)) (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr M)))))) * [misc]backup-simplify: Simplify (* 1/2 (* (cos (- M)) (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr M))))))) into (* 1/2 (* (cos (- M)) (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr M))))))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (- M)) (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr M)))))))) into (* 1/2 (* (cos (- M)) (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr 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 (* 0 (exp (- (fabs (- m n)) (+ l (sqr M))))) into 0 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 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)) (exp (- (fabs (- m n)) (+ l (sqr M))))) into (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))) * [misc]backup-simplify: Simplify (* 1/4 (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr M)))))) into (* 1/4 (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr M)))))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))))) into (* 1/4 (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr M)))))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))))) into (- (* 1/4 (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (* (cos (- M)) (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr M))))))) (- (* 1/4 (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr M)))))))) into (- (* 1/2 (* (cos (- M)) (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr M))))))) (* 1/4 (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (cos (- M)) (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr M))))))) (* 1/4 (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr M))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos (- M)) (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr 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 (* (cos (- M)) (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr 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]taylor: Taking taylor expansion of (* (sqr M) (exp (- (fabs (- m n)) (+ l (sqr M))))) in M * [misc]taylor: Taking taylor expansion of (sqr 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]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ l (sqr M)))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ l (sqr 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 (+ l (sqr M)) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [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]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (exp (- (fabs (- m n)) (+ l (sqr 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)) (exp (- (fabs (- m n)) (+ l (sqr 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]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ l (sqr M)))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ l (sqr 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 (+ l (sqr M)) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [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]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 (exp (- (fabs (- m n)) l))) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* 1 (exp (- (fabs (- m n)) l))) into (exp (- (fabs (- m n)) l)) * [misc]backup-simplify: Simplify (* 1/4 (exp (- (fabs (- m n)) l))) into (* 1/4 (exp (- (fabs (- m n)) l))) * [misc]backup-simplify: Simplify (- (* 1/4 (exp (- (fabs (- m n)) l)))) into (- (* 1/4 (exp (- (fabs (- m n)) l)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/4 (exp (- (fabs (- m n)) l))))) into (- (* 1/4 (exp (- (fabs (- m n)) l)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (exp (- (fabs (- m n)) l)))) in l * [misc]taylor: Taking taylor expansion of (* 1/4 (exp (- (fabs (- m n)) l))) in l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) l)) in 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 (exp (fabs (- m n))) into (exp (fabs (- m n))) * [misc]backup-simplify: Simplify (* 1/4 (exp (fabs (- m n)))) into (* 1/4 (exp (fabs (- m n)))) * [misc]backup-simplify: Simplify (- (* 1/4 (exp (fabs (- m n))))) into (- (* 1/4 (exp (fabs (- m n))))) * [misc]backup-simplify: Simplify (- (* 1/4 (exp (fabs (- m n))))) into (- (* 1/4 (exp (fabs (- m n))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (exp (fabs (- m n))))) (sqr (* 1 (* 1 (* 1 (* m 1)))))) (+ (* (* -1 (exp (fabs (- m n)))) (* l (* 1 (* 1 (* 1 1))))) (exp (fabs (- m n))))) into (- (exp (fabs (- m n))) (+ (* l (exp (fabs (- m n)))) (* 1/4 (* (exp (fabs (- m n))) (sqr m))))) * [misc]approximate: Taking taylor expansion of (* (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))))) in (K m n M l) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))))) in l * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in l * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in l * [misc]taylor: Taking taylor expansion of (/ 1 K) in l * [misc]taylor: Taking taylor expansion of K in l * [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 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 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 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)) K)) (- (/ 1 M))) into (- (+ (* 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]backup-simplify: Simplify (sin (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (sin (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in l * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in l * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in l * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in M * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in K * [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 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 l) (fabs (- (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 l) in K * [misc]taylor: Taking taylor expansion of l in K * [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 K * [misc]backup-simplify: Simplify (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 (* (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))) into (sqr (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))) * [misc]backup-simplify: Simplify (- (sqr (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)))) into (- (+ (/ 1 (* M m)) (/ 1 (* M n))) (+ (/ 1 (sqr M)) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (* 1/4 (/ 1 (sqr n))))))) * [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 (+ (- (+ (/ 1 (* M m)) (/ 1 (* M n))) (+ (/ 1 (sqr M)) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (* 1/4 (/ 1 (sqr n))))))) (- (fabs (- (/ 1 m) (/ 1 n))) (/ 1 l))) into (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) into (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in K * [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 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 l) (fabs (- (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 l) in K * [misc]taylor: Taking taylor expansion of l in K * [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 K * [misc]backup-simplify: Simplify (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 (* (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))) into (sqr (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))) * [misc]backup-simplify: Simplify (- (sqr (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)))) into (- (+ (/ 1 (* M m)) (/ 1 (* M n))) (+ (/ 1 (sqr M)) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (* 1/4 (/ 1 (sqr n))))))) * [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 (+ (- (+ (/ 1 (* M m)) (/ 1 (* M n))) (+ (/ 1 (sqr M)) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (* 1/4 (/ 1 (sqr n))))))) (- (fabs (- (/ 1 m) (/ 1 n))) (/ 1 l))) into (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) into (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) * [misc]backup-simplify: Simplify (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) into (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) 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]taylor: Taking taylor expansion of (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) in m * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) 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 (+ (/ 1 (* M m)) (/ 1 (* M 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)) 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 (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr 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 (/ 1 (sqr m)) in m * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr 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 (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))) 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 (sqr M)) (* 1/4 (/ 1 (sqr n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (sqr M)) in m * [misc]taylor: Taking taylor expansion of (sqr M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (/ 1 (sqr M)) into (/ 1 (sqr M)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr n))) 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 (sqr n)) in m * [misc]taylor: Taking taylor expansion of (sqr n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (/ 1 (sqr n)) into (/ 1 (sqr 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) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) into (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) * [misc]backup-simplify: Simplify (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) into (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) 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]taylor: Taking taylor expansion of (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) in n * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) 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 (+ (/ 1 (* M m)) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* M m)) in n * [misc]taylor: Taking taylor expansion of (* M m) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* M m) into (* M m) * [misc]backup-simplify: Simplify (/ 1 (* M m)) into (/ 1 (* M m)) * [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 (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr m))) 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 (sqr m)) in n * [misc]taylor: Taking taylor expansion of (sqr m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* m m) into (sqr m) * [misc]backup-simplify: Simplify (/ 1 (sqr m)) into (/ 1 (sqr m)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr 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 (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n 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 (* n m)) 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]backup-simplify: Simplify (* 0 m) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 m)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (sqr M)) in n * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (/ 1 (sqr M)) into (/ 1 (sqr M)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr n))) 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 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/4 1) 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 (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) into (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) * [misc]backup-simplify: Simplify (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) into (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) 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]taylor: Taking taylor expansion of (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) in M * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) in M * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) 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 (+ (/ 1 (* M m)) (/ 1 (* M 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 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 (* 0 m) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 m)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 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 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]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr 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 (/ 1 (sqr m)) in M * [misc]taylor: Taking taylor expansion of (sqr m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* m m) into (sqr m) * [misc]backup-simplify: Simplify (/ 1 (sqr m)) into (/ 1 (sqr m)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr 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 (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))) 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 m into m * [misc]backup-simplify: Simplify (* n m) into (* n m) * [misc]backup-simplify: Simplify (/ 1 (* n m)) into (/ 1 (* n m)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (sqr M)) in M * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr n))) 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 (sqr n)) in M * [misc]taylor: Taking taylor expansion of (sqr n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (/ 1 (sqr n)) into (/ 1 (sqr n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 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 (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) into (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) * [misc]backup-simplify: Simplify (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) into (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) in l * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in l * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in l * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in l * [misc]taylor: Taking taylor expansion of (* m K) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in l * [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 l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in l * [misc]taylor: Taking taylor expansion of (* n K) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in l * [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 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 (* 1/2 (/ 1 (* m K))) into (/ 1/2 (* m K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (* n K))) into (/ 1/2 (* n K)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* m K)) (/ 1/2 (* n K))) into (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (- (/ 1 M))) into (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) into (sin (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) in l * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) in l * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) 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 (+ (/ 1 (* M m)) (/ 1 (* M n))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (* M m)) in l * [misc]taylor: Taking taylor expansion of (* M m) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* M m) into (* M m) * [misc]backup-simplify: Simplify (/ 1 (* M m)) into (/ 1 (* M m)) * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) 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]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 (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))) in l * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr m))) in l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr m)) in l * [misc]taylor: Taking taylor expansion of (sqr m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* m m) into (sqr m) * [misc]backup-simplify: Simplify (/ 1 (sqr m)) into (/ 1 (sqr m)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr 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 (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))) in l * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n m))) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n m)) 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]backup-simplify: Simplify (* n m) into (* n m) * [misc]backup-simplify: Simplify (/ 1 (* n m)) into (/ 1 (* n m)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (sqr M)) in l * [misc]taylor: Taking taylor expansion of (sqr M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (/ 1 (sqr M)) into (/ 1 (sqr M)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr n))) in l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in l * [misc]taylor: Taking taylor expansion of (sqr n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (/ 1 (sqr n)) into (/ 1 (sqr n)) * [misc]backup-simplify: Simplify (+ 1 0) 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 (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) into (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) * [misc]backup-simplify: Simplify (* (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) 1) into (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) 0) into (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) into (* (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) * [misc]backup-simplify: Simplify (* (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) into (* (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M)))) * [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 (- (/ 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) into 0 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 0) (* 0 (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))))) 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]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 (+ (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 0) (* 0 (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 0) (* 0 (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 0) (* 0 (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))))) 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 (+ (* (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* m 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* m K)) (/ 0 (* m K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* m K)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* n K)) (/ 0 (* n K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* n K)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 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 (+ (* (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) 0) (* 0 (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- (/ 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) into 0 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 0) (+ (* 0 0) (* 0 (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))))) 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]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 (* (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 l) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M)))) into (* (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) * [misc]approximate: Taking taylor expansion of (* (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))))) in (K m n M l) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))))) in l * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in l * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in l * [misc]taylor: Taking taylor expansion of (- K) in l * [misc]taylor: Taking taylor expansion of K in l * [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 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 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 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)) K)) (/ 1 M)) into (+ (/ 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]backup-simplify: Simplify (sin (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (sin (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in l * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in l * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in l * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M m)) (/ 1 (* M n))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in M * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M m)) (/ 1 (* M n))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M m)) (/ 1 (* M n))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 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]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 (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M m)) (/ 1 (* M n))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in K * [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 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 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in K * [misc]taylor: Taking taylor expansion of (- l) in K * [misc]taylor: Taking taylor expansion of l in K * [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 K * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) 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) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))) into (sqr (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))) * [misc]backup-simplify: Simplify (- (sqr (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))))) into (- (+ (/ 1 (* M m)) (/ 1 (* M n))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 (sqr M)) (+ (* 1/2 (/ 1 (* n m))) (* 1/4 (/ 1 (sqr n))))))) * [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 (+ (- (+ (/ 1 (* M m)) (/ 1 (* M n))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 (sqr M)) (+ (* 1/2 (/ 1 (* n m))) (* 1/4 (/ 1 (sqr n))))))) (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m))))) into (- (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M m)) (/ 1 (* M n))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))) * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M m)) (/ 1 (* M n))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) into (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))))) 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]taylor: Taking taylor expansion of (exp (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (- (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (- (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (sqr (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in K * [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 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 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in K * [misc]taylor: Taking taylor expansion of (- l) in K * [misc]taylor: Taking taylor expansion of l in K * [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 K * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) 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) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))) into (sqr (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))) * [misc]backup-simplify: Simplify (- (sqr (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))))) into (- (+ (/ 1 (* M m)) (/ 1 (* M n))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 (sqr M)) (+ (* 1/2 (/ 1 (* n m))) (* 1/4 (/ 1 (sqr n))))))) * [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 (+ (- (+ (/ 1 (* M m)) (/ 1 (* M n))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 (sqr M)) (+ (* 1/2 (/ 1 (* n m))) (* 1/4 (/ 1 (sqr n))))))) (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m))))) into (- (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M m)) (/ 1 (* M n))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))) * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M m)) (/ 1 (* M n))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) into (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) * [misc]backup-simplify: Simplify (* (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))) into (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]taylor: Taking taylor expansion of (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in m * [misc]taylor: Taking taylor expansion of (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) 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 (+ (/ 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]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr 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 (/ 1 (sqr m)) in m * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))) 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 (sqr M)) (* 1/4 (/ 1 (sqr n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (sqr M)) in m * [misc]taylor: Taking taylor expansion of (sqr M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (/ 1 (sqr M)) into (/ 1 (sqr M)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr n))) 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 (sqr n)) in m * [misc]taylor: Taking taylor expansion of (sqr n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (/ 1 (sqr n)) into (/ 1 (sqr 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) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) into (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) * [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 (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]taylor: Taking taylor expansion of (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (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 (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* M m)) in n * [misc]taylor: Taking taylor expansion of (* M m) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* M m) into (* M m) * [misc]backup-simplify: Simplify (/ 1 (* M m)) into (/ 1 (* M m)) * [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]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr m))) 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 (sqr m)) in n * [misc]taylor: Taking taylor expansion of (sqr m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* m m) into (sqr m) * [misc]backup-simplify: Simplify (/ 1 (sqr m)) into (/ 1 (sqr m)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n 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 (* n m)) 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]backup-simplify: Simplify (* 0 m) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 m)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (sqr M)) in n * [misc]taylor: Taking taylor expansion of (sqr M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (/ 1 (sqr M)) into (/ 1 (sqr M)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr n))) 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 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/4 1) 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 (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) into (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr 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 (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]taylor: Taking taylor expansion of (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in M * [misc]taylor: Taking taylor expansion of (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) in M * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) 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 (+ (/ 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 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 (* 0 m) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 m)) 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 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]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 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]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr 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 (/ 1 (sqr m)) in M * [misc]taylor: Taking taylor expansion of (sqr m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* m m) into (sqr m) * [misc]backup-simplify: Simplify (/ 1 (sqr m)) into (/ 1 (sqr m)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))) 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 m into m * [misc]backup-simplify: Simplify (* n m) into (* n m) * [misc]backup-simplify: Simplify (/ 1 (* n m)) into (/ 1 (* n m)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (sqr M)) in M * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr n))) 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 (sqr n)) in M * [misc]taylor: Taking taylor expansion of (sqr n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (/ 1 (sqr n)) into (/ 1 (sqr n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 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 (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) into (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) * [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 (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]taylor: Taking taylor expansion of (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in l * [misc]taylor: Taking taylor expansion of (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) in l * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (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 (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (* M m)) in l * [misc]taylor: Taking taylor expansion of (* M m) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* M m) into (* M m) * [misc]backup-simplify: Simplify (/ 1 (* M m)) into (/ 1 (* M m)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) 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]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 l * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))) in l * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr m))) in l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr m)) in l * [misc]taylor: Taking taylor expansion of (sqr m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* m m) into (sqr m) * [misc]backup-simplify: Simplify (/ 1 (sqr m)) into (/ 1 (sqr m)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))) in l * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n m))) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n m)) 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]backup-simplify: Simplify (* n m) into (* n m) * [misc]backup-simplify: Simplify (/ 1 (* n m)) into (/ 1 (* n m)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (sqr M)) in l * [misc]taylor: Taking taylor expansion of (sqr M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (sqr M) * [misc]backup-simplify: Simplify (/ 1 (sqr M)) into (/ 1 (sqr M)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (sqr n))) in l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in l * [misc]taylor: Taking taylor expansion of (sqr n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (/ 1 (sqr n)) into (/ 1 (sqr n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) into (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) 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 (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in l * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in l * [misc]taylor: Taking taylor expansion of (* m K) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in l * [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 l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in l * [misc]taylor: Taking taylor expansion of (* n K) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in l * [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 (* m K))) into (/ 1/2 (* m K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (* n K))) into (/ 1/2 (* n K)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* m K)) (/ 1/2 (* n K))) into (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K))))) into (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))))) into (sin (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))))) * [misc]backup-simplify: Simplify (* (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))))) 1) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))))) * [misc]backup-simplify: Simplify (* (sin (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))))) 0) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))))) * [misc]backup-simplify: Simplify (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K))))))) into (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K))))))) * [misc]backup-simplify: Simplify (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K))))))) into (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m 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 (- 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 (+ (/ 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) into 0 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M m)) (/ 1 (* M n))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 0) (* 0 (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) 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]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 (+ (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) 0) (* 0 (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n 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 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) 0) (* 0 (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) 0) (* 0 (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) 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 (+ (* (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* m 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* m K)) (/ 0 (* m K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* m K)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* n K)) (/ 0 (* n K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* n K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) 0) (* 0 (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))))))) into 0 * [misc]backup-simplify: Simplify 0 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 (- 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 (+ (/ 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) 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 (- (+ (* (/ -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M m)) (/ 1 (* M n))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 0) (+ (* 0 0) (* 0 (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n))))))))))) 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]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 (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M n)) (+ (/ 1 (* M m)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K))))))) into (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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 (75 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 2 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (+ (* 1/4 (sqr n)) (+ (* 1/4 (sqr m)) (* 1/2 (* n m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (cos (- (* (+ m n) (/ K 2)) M)) (exp (- l (fabs (- m n))))) (/ (exp (* (- 1/4) (* n n))) (pow (exp m) (+ (* 1/2 n) (* 1/4 m))))) * * * * [misc]progress: [ 5 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (- (sqr M) (+ (* M n) (* M m)))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ m n) (/ 2 K)) M)) (exp (+ (- l (fabs (- m n))) (* (- (- M m) n) M)))) * * * * [misc]progress: [ 6 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (- (sqr M) (+ (* M n) (* M m)))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ m n) (/ 2 K)) M)) (exp (+ (- l (fabs (- m n))) (* (- (- M m) n) M)))) * * * * [misc]progress: [ 7 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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: [ 8 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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: [ 9 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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: [ 10 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (fabs (- m n))) (+ (* l (exp (fabs (- m n)))) (* 1/4 (* (exp (fabs (- m n))) (sqr m))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (exp (fabs (- m n))) (* (exp (fabs (- m n))) (+ (* (* m m) 1/4) l))) * * * * [misc]progress: [ 11 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K)))) (/ 1 M))) (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 (* M m)) (/ 1 (* M n)))) (+ (* 1/4 (/ 1 (sqr m))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (* (exp (- (+ (fabs (- (/ 1 m) (/ 1 n))) (+ (/ (/ 1 M) n) (/ (/ 1 M) m))) (+ (/ (/ 1/4 m) m) (/ 1 l)))) (/ (cos (+ (/ (/ 1/2 n) K) (- (/ (/ 1/2 m) K) (/ 1 M)))) (exp (+ (/ 1/2 (* m n)) (+ (/ 1/4 (* n n)) (/ (/ 1 M) M)))))) * * * * [misc]progress: [ 12 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (- (+ (/ 1 l) (+ (/ 1 (* M m)) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))))) (+ (* 1/4 (/ 1 (sqr m))) (+ (* 1/2 (/ 1 (* n m))) (+ (/ 1 (sqr M)) (* 1/4 (/ 1 (sqr n)))))))) (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* n K))) (* 1/2 (/ 1 (* m K))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (* (exp (+ (+ (/ 1 (* M m)) (+ (/ 1 l) (/ 1 (* M n)))) (- (fabs (- (/ 1 n) (/ 1 m))) (+ (/ (/ 1/2 m) n) (/ 1/4 (* m m)))))) (/ (cos (+ (/ (/ 1/2 m) K) (+ (/ 1 M) (/ 1/2 (* n K))))) (exp (+ (/ 1/4 (* n n)) (/ (/ 1 M) M))))) * * * * [misc]progress: [ 13 / 61 ] 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 / 61 ] 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 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 61 ] 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 / 61 ] 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 / 61 ] simplifiying candidate # * [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 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 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 (cube (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cube (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 20 / 61 ] 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))) * * * * [misc]progress: [ 21 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (- (/ (+ m n) 2) M))) * * [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 (14 enodes) * * [misc]simplify: iters left: 2 (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: [ 25 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (- (/ (+ m n) 2) M))) * * [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: [ 26 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (- (/ (+ m n) 2) M))) * * [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: [ 27 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (- (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (cube (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (cube (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 28 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (- (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 29 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (- (/ (+ m n) 2) M)) * * [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: [ 30 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (pow (/ (+ m n) 2) 3) (pow M 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (sqr (- (cube (/ (+ n m) 2)) (cube M))) * [exit]simplify: Simplified to (sqr (- (cube (/ (+ n m) 2)) (cube M))) * [enter]simplify: Simplifying (sqr (+ (sqr (/ (+ m n) 2)) (+ (sqr M) (* (/ (+ m n) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (* (+ (+ (* (/ M 2) (+ n m)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2))) (+ (+ (* (/ M 2) (+ n m)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2)))) * [exit]simplify: Simplified to (* (+ (+ (* (/ M 2) (+ n m)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2))) (+ (+ (* (/ M 2) (+ n m)) (* M M)) (* (/ (+ n m) 2) (/ (+ n m) 2)))) * * * * [misc]progress: [ 31 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (sqr (/ (+ m n) 2)) (sqr M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (sqr (* (+ (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (sqr (* (+ (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [enter]simplify: Simplifying (sqr (+ (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (128 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: [ 32 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 61 ] 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: [ 36 / 61 ] 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: [ 37 / 61 ] simplifiying candidate # * [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: [ 38 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 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 (76 enodes) * [exit]simplify: Simplified to (cube (- (* (/ K 2) (+ m n)) M)) * [exit]simplify: Simplified to (cube (- (* (/ K 2) (+ m n)) M)) * * * * [misc]progress: [ 39 / 61 ] 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)) * * * * [misc]progress: [ 40 / 61 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * [exit]simplify: Simplified to (- (cube (* (+ m n) (/ K 2))) (cube M)) * [exit]simplify: Simplified to (- (cube (* (+ m n) (/ K 2))) (cube M)) * [enter]simplify: Simplifying (+ (sqr (/ (* K (+ m n)) 2)) (+ (sqr M) (* (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (+ (* M (+ M (/ (+ m n) (/ 2 K)))) (* (/ (+ m n) (/ 2 K)) (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (+ (* M (+ M (/ (+ m n) (/ 2 K)))) (* (/ (+ m n) (/ 2 K)) (/ (+ m n) (/ 2 K)))) * * * * [misc]progress: [ 41 / 61 ] 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: [ 42 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (/ (* K (+ m n)) 2)) (sqr M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (354 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: [ 44 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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))) (/ (cos (- (/ (+ m n) (/ 2 K)) M)) (exp (- l (fabs (- m n)))))) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (cos (- (/ (+ m n) (/ 2 K)) M)) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 45 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos (- (/ (* K (+ m n)) 2) M))) (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (- (+ (* (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (fabs (- m n))) (- l (log (cos (- (* (+ m n) (/ K 2)) M))))) * [exit]simplify: Simplified to (- (+ (* (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (fabs (- m n))) (- l (log (cos (- (* (+ m n) (/ K 2)) M))))) * * * * [misc]progress: [ 47 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (- (log (cos (- (* (/ K 2) (+ m n)) M))) (+ (sqr (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (- (log (cos (- (* (/ K 2) (+ m n)) M))) (+ (sqr (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * * * * [misc]progress: [ 48 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (pow (exp (cos (- (* (+ m n) (/ K 2)) M))) (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * [exit]simplify: Simplified to (pow (exp (cos (- (* (+ m n) (/ K 2)) M))) (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 49 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (cos (- (/ (* K (+ m n)) 2) M))) (cube (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (* (cube (/ (* (/ 1 (exp l)) (exp (fabs (- m n)))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (cube (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cube (/ (* (/ 1 (exp l)) (exp (fabs (- m n)))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (cube (cos (- (/ (+ m n) (/ 2 K)) M)))) * * * * [misc]progress: [ 50 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- l (fabs (- m n))))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- l (fabs (- m n))))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 51 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (cube (* (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- l (fabs (- m n))))) (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))))) * [exit]simplify: Simplified to (cube (* (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- l (fabs (- m n))))) (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 52 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) * [exit]simplify: Simplified to (* (cbrt (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) * * * * [misc]progress: [ 53 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- l (fabs (- m n))))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * [exit]simplify: Simplified to (sqrt (/ (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- l (fabs (- m n))))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 54 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cos (- (/ (* K (+ m n)) 2) M))) (sqrt (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (* (sqrt (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (sqrt (cos (- (* (+ m n) (/ K 2)) M)))) * [exit]simplify: Simplified to (* (sqrt (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (sqrt (cos (- (* (+ m n) (/ K 2)) M)))) * * * * [misc]progress: [ 55 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (sqr (- (/ (+ m n) 2) M))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (+ m n) (/ K 2)) M)) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [exit]simplify: Simplified to (/ (cos (- (* (+ m n) (/ K 2)) M)) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * * * * [misc]progress: [ 57 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) l))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (exp l) (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (exp l) (cos (- (/ (+ m n) (/ 2 K)) M)))) * * * * [misc]progress: [ 58 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (cos (- (/ (+ m n) (/ 2 K)) M)) * [exit]simplify: Simplified to (cos (- (/ (+ m n) (/ 2 K)) M)) * * * * [misc]progress: [ 59 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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))) (/ (cos (- (/ (+ m n) (/ 2 K)) M)) (exp (- l (fabs (- m n)))))) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (cos (- (/ (+ m n) (/ 2 K)) M)) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 60 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (sqr (- (/ (+ m n) 2) M))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (+ m n) (/ K 2)) M)) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [exit]simplify: Simplified to (/ (cos (- (* (+ m n) (/ K 2)) M)) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * * * * [misc]progress: [ 61 / 61 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [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 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in (m K n M) around 0 * [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]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 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 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 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 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 K * [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 K * [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 (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M)))) in (m K n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 m) (/ 1 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 (* (/ 1 m) (/ 1 K))) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 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 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 m) (/ 1 K)) into (/ 1 (* m K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* m K))) into (* m K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 n) (/ 1 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 (* (/ 1 n) (/ 1 K))) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 K)) 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 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 n) (/ 1 K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* n K))) into (* 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 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 (* m K)) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (* 1/2 (* n K)) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* m K)) (* 1/2 (* n K))) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (* m K)) (* 1/2 (* n 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 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 m) (/ 1 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 (* (/ 1 m) (/ 1 K))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 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 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 m) (/ 1 K)) into (/ 1 (* m K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* m K))) into (* m K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 n) (/ 1 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 (* (/ 1 n) (/ 1 K))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 K)) 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 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 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into 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 (* 1/2 (* m K)) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* m K)) 0) into (* 1/2 (* m K)) * [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 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 m) (/ 1 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 (* (/ 1 m) (/ 1 K))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 K)) 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 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 m) 1) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1 (/ 1 m)) into m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 n) (/ 1 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 (* (/ 1 n) (/ 1 K))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 K)) in K * [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 (/ 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 n) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [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 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 m) (/ 1 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 (* (/ 1 m) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 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 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 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 n) (/ 1 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 (* (/ 1 n) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 K)) 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 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 n) (/ 1 K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* n K))) into (* 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 (* 1/2 (* n K)) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* n K))) into (* 1/2 (* n K)) * [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 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 m) (/ 1 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 (* (/ 1 m) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 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 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 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 n) (/ 1 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 (* (/ 1 n) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 K)) 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 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 n) (/ 1 K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* n K))) into (* 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 (* 1/2 (* n K)) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* n K))) into (* 1/2 (* n K)) * [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 K * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 (* 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]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* n 0) 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 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 (- (* 1/2 (* n K)) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (/ 1 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* n K) (/ 0 (/ 1 (* n K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* n K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) 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 K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- (* 1/2 (* n K)) 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 (- (* 1/2 (* n K)) M)) K) in K * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (* n K)) M)) in K * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 (* 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]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* n 0) 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 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 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 (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 n) 0) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 n) 1) 1))) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (* 1/2 n)) (* 0 0)) into (* 1/2 (* (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]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 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 (sqr K))) * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (* n K)) M)) (- (* 1/8 (sqr K)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (sqr K)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 0 (/ 1 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* n K) (/ 0 (/ 1 (* n K)))) (* 0 (/ 0 (/ 1 (* n K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* n K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)) (sqr K)))) 0) into (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (sqr K)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (sqr K)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (sqr K))) 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 (- (* 1/2 (* n K)) M)) (sqr K)) in K * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* n K)) M)) in K * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 (* 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]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* n 0) 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 (sqr 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 (* (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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 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]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 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) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 n) 0) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 n) 1) 1))) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (* 1/2 n)) (* 0 0)) into (* 1/2 (* (cos (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (- M)) n))) into (* 1/2 (* (cos (- M)) n)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* (* 1/2 (* (cos (- M)) n)) 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 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 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) (/ 1 (/ 1 (- M))))) in (m K n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) (/ 1 (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) (/ 1 (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- 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 (* (/ 1 (- m)) (/ 1 (- K)))) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) 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 (- 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 m) (/ -1 K)) into (/ 1 (* m K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* m K))) into (* m K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- 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 (* (/ 1 (- n)) (/ 1 (- K)))) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- K))) 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 (- 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 n) (/ -1 K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* n K))) into (* 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 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 (* m K)) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (* 1/2 (* n K)) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* m K)) (* 1/2 (* n K))) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (* m K)) (* 1/2 (* n 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 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) (/ 1 (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) (/ 1 (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- 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 (* (/ 1 (- m)) (/ 1 (- K)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) 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 (- 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 m) (/ -1 K)) into (/ 1 (* m K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* m K))) into (* m K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- 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 (* (/ 1 (- n)) (/ 1 (- K)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- K))) 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 (- 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 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into 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 (* 1/2 (* m K)) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* m K)) 0) into (* 1/2 (* m K)) * [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 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) (/ 1 (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) (/ 1 (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- 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 (* (/ 1 (- m)) (/ 1 (- K)))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) 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 (- 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 m) -1) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1 (/ 1 m)) into m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- 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 (* (/ 1 (- n)) (/ 1 (- K)))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- K))) in K * [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 (/ 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 n) -1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [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 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) (/ 1 (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) (/ 1 (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- 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 (* (/ 1 (- m)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) 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 (- 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 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- 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 (* (/ 1 (- n)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- K))) 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 (- 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 n) (/ -1 K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* n K))) into (* 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 (* 1/2 (* n K)) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* n K))) into (* 1/2 (* n K)) * [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 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) (/ 1 (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) (/ 1 (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- 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 (* (/ 1 (- m)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) 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 (- 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 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- 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 (* (/ 1 (- n)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- K))) 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 (- 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 n) (/ -1 K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* n K))) into (* 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 (* 1/2 (* n K)) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* n K))) into (* 1/2 (* n K)) * [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 K * [misc]taylor: Taking taylor expansion of (+ M (* 1/2 (* n 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 (* 1/2 (* 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 (* 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 (* 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 n * [misc]taylor: Taking taylor expansion of M in n * [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 (* 1/2 K) into (* 1/2 K) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (/ -1 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* n K) (/ 0 (/ 1 (* n K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* n K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) 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 K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) 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 (* 1/2 (* n K)))) K) in K * [misc]taylor: Taking taylor expansion of (sin (+ M (* 1/2 (* n K)))) in K * [misc]taylor: Taking taylor expansion of (+ M (* 1/2 (* n 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 (* 1/2 (* 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 (* 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 (* 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 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 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 (+ (* 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 (+ (* 1 (/ (pow (* 1/2 n) 1) 1))) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* (sin M) (* 1/2 n)) (* 0 0)) into (* 1/2 (* n (sin M))) * [misc]backup-simplify: Simplify (- (* 1/2 (* n (sin M)))) into (- (* 1/2 (* n (sin M)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* n (sin M))))) into (- (* 1/2 (* n (sin M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n (sin M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n (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 (* n (sin 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 (sin M) in n * [misc]taylor: Taking taylor expansion of M in n * [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 (sqr K))) * [misc]backup-simplify: Simplify (+ (* (cos (+ M (* 1/2 (* n K)))) (- (* 1/8 (sqr K)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (sqr K)))) * [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 (- 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 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 0 (/ 1 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) 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) 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 (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (/ -1 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* n K) (/ 0 (/ 1 (* n K)))) (* 0 (/ 0 (/ 1 (* n K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* n K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)))) (sqr K)))) 0) into (- (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (sqr K)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (sqr K)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (sqr K))) 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 (* 1/2 (* n K)))) (sqr K)) in K * [misc]taylor: Taking taylor expansion of (cos (+ M (* 1/2 (* n K)))) in K * [misc]taylor: Taking taylor expansion of (+ M (* 1/2 (* n 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 (* 1/2 (* 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 (* 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 (* 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 (sqr 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 (* (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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 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]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 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 (+ (* 1 (/ (pow (* 1/2 n) 1) 1))) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* (cos M) (* 1/2 n)) (* 0 0)) into (* 1/2 (* n (cos M))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* n (cos M)))) into (* 1/2 (* n (cos M))) * [misc]backup-simplify: Simplify (+ (* (sin M) 1) (* (* 1/2 (* n (cos M))) 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 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]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 (* 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]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 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in (m K n) around 0 * [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 (+ (* 1/2 (/ 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 (+ (* 1/2 (/ 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 (+ (* 1/2 (/ 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 1) 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 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]backup-simplify: Simplify (* 1/2 (/ 1 (* n K))) into (/ 1/2 (* n K)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (* n K))) into (* 1/2 (/ 1 (* n K))) * [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]backup-simplify: Simplify (* 1/2 (/ 1 n)) 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 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (+ (* n 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* n K)) (/ 0 (* n K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* n K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [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]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 (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* n K)) (/ 0 (* n K))) (* 0 (/ 0 (* n K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* n K))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 n * [misc]backup-simplify: Simplify 0 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]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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 (* 1 (* (/ 1 K) (/ 1 m)))) (* 1/2 (* (/ 1 n) (* (/ 1 K) 1)))) into (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) * [misc]approximate: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) in (m K n) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 m) (/ 1 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 (* (/ 1 m) (/ 1 K))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 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 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 m) (/ 1 K)) into (/ 1 (* m K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* m K))) into (* m K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 n) (/ 1 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 (* (/ 1 n) (/ 1 K))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 K)) 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 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 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 m) (/ 1 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 (* (/ 1 m) (/ 1 K))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 K)) 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 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 m) 1) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1 (/ 1 m)) into m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 n) (/ 1 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 (* (/ 1 n) (/ 1 K))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 K)) in K * [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 (/ 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 n) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 m) (/ 1 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 (* (/ 1 m) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 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 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 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 n) (/ 1 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 (* (/ 1 n) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 K)) 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 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 n) (/ 1 K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* n K))) into (* n K) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 m) (/ 1 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 (* (/ 1 m) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 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 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 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 n) (/ 1 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 (* (/ 1 n) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 K)) 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 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 n) (/ 1 K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* n K))) into (* n K) * [misc]backup-simplify: Simplify (* 1/2 (* n K)) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* n K))) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 (* 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 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 n) (* 0 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (/ 1 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* n K) (/ 0 (/ 1 (* n K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* n K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 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]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]taylor: Taking taylor expansion of 0 in n * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 0 (/ 1 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* n K) (/ 0 (/ 1 (* n K)))) (* 0 (/ 0 (/ 1 (* n K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* n K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 n * [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]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 n) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 n) (* (/ 1 K) 1))) (* 1/2 (* 1 (* (/ 1 K) (/ 1 m))))) into (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) * [misc]approximate: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) in (m K n) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- 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 (* (/ 1 (- m)) (/ 1 (- K)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) 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 (- 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 m) (/ -1 K)) into (/ 1 (* m K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* m K))) into (* m K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- 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 (* (/ 1 (- n)) (/ 1 (- K)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- K))) 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 (- 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 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- 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 (* (/ 1 (- m)) (/ 1 (- K)))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) 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 (- 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 m) -1) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1 (/ 1 m)) into m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- 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 (* (/ 1 (- n)) (/ 1 (- K)))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- K))) in K * [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 (/ 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 n) -1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- 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 (* (/ 1 (- m)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) 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 (- 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 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- 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 (* (/ 1 (- n)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- K))) 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 (- 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 n) (/ -1 K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* n K))) into (* n K) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- 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 (* (/ 1 (- m)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) 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 (- 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 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- 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 (* (/ 1 (- n)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- K))) 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 (- 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 n) (/ -1 K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* n K))) into (* n K) * [misc]backup-simplify: Simplify (* 1/2 (* n K)) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* n K))) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 (* 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 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 n) (* 0 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (/ -1 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* n K) (/ 0 (/ 1 (* n K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* n K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 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]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]taylor: Taking taylor expansion of 0 in n * [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 1/2 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 (- 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 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 0 (/ 1 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) 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) 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 (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (/ -1 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* n K) (/ 0 (/ 1 (* n K)))) (* 0 (/ 0 (/ 1 (* n K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* n K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 n * [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]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 n) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 (- n)) (* (/ 1 (- K)) 1))) (* 1/2 (* 1 (* (/ 1 (- K)) (/ 1 (- m)))))) into (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 2) * [misc]approximate: Taking taylor expansion of (/ 1 (* m K)) in (m K) around 0 * [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 (* 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 (* 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 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 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [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]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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 K) (/ 1 m))) into (/ 1 (* K m)) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 m) (/ 1 K))) in (m K) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 m) (/ 1 K))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 K)) 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 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 m) 1) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1 (/ 1 m)) into m * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 m) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 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 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 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 m) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 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 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 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into 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 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 0 (/ 1 K))) (* 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) 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 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 0 (/ 1 K))) (* 0 (/ 0 (/ 1 K))) (* 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 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 K) (/ 1 m))) into (/ 1 (* K m)) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 (- m)) (/ 1 (- K)))) in (m K) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- m)) (/ 1 (- K)))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) 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 (- 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 m) -1) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1 (/ 1 m)) into m * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- m)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) 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 (- 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 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- m)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) 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 (- 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 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into 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 into 1 * [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 (- 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 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 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 into 0 * [misc]backup-simplify: Simplify 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) 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 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 0 (/ 1 K))) (* 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 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 (- K) into (- K) * [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))) (* 0 (/ 0 (- K))))) 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 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 0 (/ 1 K))) (* 0 (/ 0 (/ 1 K))) (* 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 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (- K)) (/ 1 (- m)))) into (/ 1 (* K m)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (* n K)) in (n K) around 0 * [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 (* 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 (* 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 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 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [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]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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 K) (/ 1 n))) into (/ 1 (* n K)) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 K))) in (n K) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 K))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 K)) in K * [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 (/ 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 n) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 K))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 K)) 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 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 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 K))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 K)) 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 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 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into 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 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 0 (/ 1 K))) (* 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) 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 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 0 (/ 1 K))) (* 0 (/ 0 (/ 1 K))) (* 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 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 K) (/ 1 n))) into (/ 1 (* n K)) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))) in (n K) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- K))) in K * [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 (/ 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 n) -1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- K))) 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 (- 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 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into K * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- K))) 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 (- 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 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ 1 (/ 1 K)) into 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 into 1 * [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 (- 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 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 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 into 0 * [misc]backup-simplify: Simplify 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) 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 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 0 (/ 1 K))) (* 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 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 (- K) into (- K) * [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))) (* 0 (/ 0 (- K))))) 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 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* K (/ 0 (/ 1 K))) (* 0 (/ 0 (/ 1 K))) (* 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 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (- K)) (/ 1 (- n)))) into (/ 1 (* n K)) * * * [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 1 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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: [ 2 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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 (75 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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 (75 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 4 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 5 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 7 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 8 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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: [ 11 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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: [ 12 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- 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: [ 13 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) (cos (- (/ 1 M)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (/ 1 M))) * [exit]simplify: Simplified to (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (/ 1 M))) * [enter]simplify: Simplifying (* (sin (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) (sin (- (/ 1 M)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (sin (/ 1 M)))) * [exit]simplify: Simplified to (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (sin (/ 1 M)))) * * * * [misc]progress: [ 14 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/2 (/ 1 (* m K)))) (cos (- (* 1/2 (/ 1 (* n K))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (cos (/ (/ 1/2 K) m)) (cos (- (/ 1/2 (* n K)) (/ 1 M)))) * [exit]simplify: Simplified to (* (cos (/ (/ 1/2 K) m)) (cos (- (/ 1/2 (* n K)) (/ 1 M)))) * [enter]simplify: Simplifying (* (sin (* 1/2 (/ 1 (* m K)))) (sin (- (* 1/2 (/ 1 (* n K))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (sin (/ (/ 1/2 K) m)) (sin (- (/ 1/2 (* n K)) (/ 1 M)))) * [exit]simplify: Simplified to (* (sin (/ (/ 1/2 K) m)) (sin (- (/ 1/2 (* n K)) (/ 1 M)))) * * * * [misc]progress: [ 15 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) (cos (/ 1 M))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (122 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 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) (sin (/ 1 M))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (122 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: [ 16 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 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: [ 18 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 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: [ 19 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 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: [ 20 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (cube (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [exit]simplify: Simplified to (cube (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * * * * [misc]progress: [ 21 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 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: [ 22 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* 1/2 (/ 1 (* m K)))) (exp (* 1/2 (/ 1 (* n K))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (pow (exp (/ 1 K)) (+ (/ 1/2 m) (/ 1/2 n))) * [exit]simplify: Simplified to (pow (exp (/ 1 K)) (+ (/ 1/2 m) (/ 1/2 n))) * * * * [misc]progress: [ 24 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (log (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * [exit]simplify: Simplified to (log (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * * * [misc]progress: [ 26 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (pow (exp (/ 1 K)) (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (pow (exp (/ 1 K)) (+ (/ 1/2 n) (/ 1/2 m))) * * * * [misc]progress: [ 27 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * * * [misc]progress: [ 28 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (cube (+ (/ (/ 1/2 m) K) (/ 1/2 (* K n)))) * [exit]simplify: Simplified to (cube (+ (/ (/ 1/2 m) K) (/ 1/2 (* K n)))) * * * * [misc]progress: [ 29 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* n K)) (* (* m K) 1/2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (* 1/2 K) (+ n m)) * [exit]simplify: Simplified to (* (* 1/2 K) (+ n m)) * [enter]simplify: Simplifying (* (* m K) (* n K)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (* K m) (* n K)) * [exit]simplify: Simplified to (* (* K m) (* n K)) * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* n K)) (* (* m K) (* 1/2 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (* 1/2 K) (+ n m)) * [exit]simplify: Simplified to (* (* 1/2 K) (+ n m)) * [enter]simplify: Simplifying (* (* m K) (* n K)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (* K m) (* n K)) * [exit]simplify: Simplified to (* (* K m) (* n K)) * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 1/2 1) (* n K)) (* (* m K) 1/2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (* 1/2 K) (+ n m)) * [exit]simplify: Simplified to (* (* 1/2 K) (+ n m)) * [enter]simplify: Simplifying (* (* m K) (* n K)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (* K m) (* n K)) * [exit]simplify: Simplified to (* (* K m) (* n K)) * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 1/2 1) (* n K)) (* (* m K) (* 1/2 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (* 1/2 K) (+ n m)) * [exit]simplify: Simplified to (* (* 1/2 K) (+ n m)) * [enter]simplify: Simplifying (* (* m K) (* n K)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (* K m) (* n K)) * [exit]simplify: Simplified to (* (* K m) (* n K)) * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* 1/2 (/ 1 (* m K))) 3) (pow (* 1/2 (/ 1 (* n K))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (+ (cube (/ 1/2 (* n K))) (cube (/ (/ 1/2 K) m))) * [exit]simplify: Simplified to (+ (cube (/ 1/2 (* n K))) (cube (/ (/ 1/2 K) m))) * [enter]simplify: Simplifying (+ (sqr (* 1/2 (/ 1 (* m K)))) (- (sqr (* 1/2 (/ 1 (* n K)))) (* (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (- (* (/ (/ 1/2 K) n) (/ (/ 1/2 K) n)) (* (/ (/ 1/2 K) (* m K)) (- (/ 1/2 n) (/ 1/2 m)))) * [exit]simplify: Simplified to (- (* (/ (/ 1/2 K) n) (/ (/ 1/2 K) n)) (* (/ (/ 1/2 K) (* m K)) (- (/ 1/2 n) (/ 1/2 m)))) * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* 1/2 (/ 1 (* m K)))) (sqr (* 1/2 (/ 1 (* n K))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (- (* (/ (/ 1/2 K) m) (/ (/ 1/2 K) m)) (* (/ 1/2 (* n K)) (/ 1/2 (* n K)))) * [exit]simplify: Simplified to (- (* (/ (/ 1/2 K) m) (/ (/ 1/2 K) m)) (* (/ 1/2 (* n K)) (/ 1/2 (* n K)))) * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 m) (/ 1/2 n)) K) * [exit]simplify: Simplified to (/ (- (/ 1/2 m) (/ 1/2 n)) K) * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (* m K)) (/ 1 (* n K))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 n) K) (/ 1 (* K m))) * [exit]simplify: Simplified to (+ (/ (/ 1 n) K) (/ 1 (* K m))) * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 40 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* m K))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- (log (* K m))) * [exit]simplify: Simplified to (- (log (* K m))) * * * * [misc]progress: [ 43 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* m K))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (log (* K m))) * [exit]simplify: Simplified to (- (log (* K m))) * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (* m K))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (exp (/ 1 (* K m))) * [exit]simplify: Simplified to (exp (/ 1 (* K m))) * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* m K))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* K m))) * [exit]simplify: Simplified to (cbrt (/ 1 (* K m))) * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (* m K))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ 1 (cube (* K m))) * [exit]simplify: Simplified to (/ 1 (cube (* K m))) * * * * [misc]progress: [ 47 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* m K))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (* K m))) * [exit]simplify: Simplified to (sqrt (/ 1 (* K m))) * * * * [misc]progress: [ 48 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (* m K)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* m (- K)) * [exit]simplify: Simplified to (* m (- K)) * * * * [misc]progress: [ 49 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* m K)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* K m)) * [exit]simplify: Simplified to (/ 1 (* K m)) * * * * [misc]progress: [ 51 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* m K) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (/ m 1) K) * [exit]simplify: Simplified to (* (/ m 1) K) * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 m) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 m) * [exit]simplify: Simplified to (/ 1 m) * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 54 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* n K))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- (log (* K n))) * [exit]simplify: Simplified to (- (log (* K n))) * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* n K))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (log (* K n))) * [exit]simplify: Simplified to (- (log (* K n))) * * * * [misc]progress: [ 58 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (* n K))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (exp (/ 1 (* K n))) * [exit]simplify: Simplified to (exp (/ 1 (* K n))) * * * * [misc]progress: [ 59 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* n K))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* K n))) * [exit]simplify: Simplified to (cbrt (/ 1 (* K n))) * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (* n K))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ 1 (cube (* K n))) * [exit]simplify: Simplified to (/ 1 (cube (* K n))) * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* n K))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (* K n))) * [exit]simplify: Simplified to (sqrt (/ 1 (* K n))) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (* n K)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* n (- K)) * [exit]simplify: Simplified to (* n (- K)) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* n K)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* K n)) * [exit]simplify: Simplified to (/ 1 (* K n)) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* n K) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (/ n 1) K) * [exit]simplify: Simplified to (* (/ n 1) K) * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [exit]simplify: Simplified to (/ 1 n) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [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 (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) 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]backup-simplify: Simplify (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) into (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) 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]backup-simplify: Simplify (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) into (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) 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]backup-simplify: Simplify (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) into (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) 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]backup-simplify: Simplify (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) into (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 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 (* 1/2 (/ 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]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) into (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) in K * [misc]taylor: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) in K * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) in K * [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]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]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 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) * [misc]backup-simplify: Simplify (+ (/ 1/2 n) (/ 1/2 m)) 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]backup-simplify: Simplify (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) into (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]backup-simplify: Simplify (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) into (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [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]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]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]taylor: Taking taylor expansion of 0 in K * [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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) into (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K))) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 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))) (/ 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 (sin (/ (+ (/ 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))) (/ 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]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 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))) (/ 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]backup-simplify: Simplify (sin (* 1/2 (* n K))) into (sin (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* n K))) into (cos (* 1/2 (* n K))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 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))) (/ 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]backup-simplify: Simplify (sin (* 1/2 (* n K))) into (sin (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* n K))) into (cos (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* n K))) 1) into (sin (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* n K))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 (* n K))) 0) into (sin (* 1/2 (* n K))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* n K))) 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]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) 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]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 (+ (* (sin (* 1/2 (* n K))) 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 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* n K))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos (* 1/2 (* n K))) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (* 1/2 (* n K))) K))) into (* 1/2 (* (cos (* 1/2 (* n K))) K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos (* 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 (* (cos (* 1/2 (* n K))) K) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* n K))) 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]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) 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]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) 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 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 (sqr K))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* n K))) (- (* 1/8 (sqr K)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (sqr K) (sin (* 1/2 (* n K)))))) * [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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* n K))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (sqr K) (sin (* 1/2 (* n K)))))) 0) into (- (* 1/8 (* (sqr K) (sin (* 1/2 (* n K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (sqr K) (sin (* 1/2 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqr K) (sin (* 1/2 (* n K))))) 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 (* (sqr K) (sin (* 1/2 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (sqr K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* n K))) 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]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) 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 (* K K) into (sqr K) * [misc]backup-simplify: Simplify (* (sqr K) 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 K)) 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 into 0 * [misc]approximate: Taking taylor expansion of (sin (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K)))) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 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)))) (/ 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 (sin (/ (+ (/ 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)))) (/ 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]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 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)))) (/ 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]backup-simplify: Simplify (sin (* 1/2 (* n K))) into (sin (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* n K))) into (cos (* 1/2 (* n K))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 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)))) (/ 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]backup-simplify: Simplify (sin (* 1/2 (* n K))) into (sin (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* n K))) into (cos (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* n K))) 1) into (sin (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* n K))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 (* n K))) 0) into (sin (* 1/2 (* n K))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* n K))) 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]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) 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]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 (+ (* (sin (* 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 (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* n K))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos (* 1/2 (* n K))) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (* 1/2 (* n K))) K))) into (* 1/2 (* (cos (* 1/2 (* n K))) K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos (* 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 (* (cos (* 1/2 (* n K))) K) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* n K))) 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]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) 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]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) 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 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 (sqr K))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* n K))) (- (* 1/8 (sqr K)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (sqr K) (sin (* 1/2 (* n K)))))) * [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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* n K))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (sqr K) (sin (* 1/2 (* n K)))))) 0) into (- (* 1/8 (* (sqr K) (sin (* 1/2 (* n K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (sqr K) (sin (* 1/2 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqr K) (sin (* 1/2 (* n K))))) 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 (* (sqr K) (sin (* 1/2 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (sqr K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* n K))) 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]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) 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 (* K K) into (sqr K) * [misc]backup-simplify: Simplify (* (sqr K) 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 K)) 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 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) 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]backup-simplify: Simplify (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) into (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) 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]backup-simplify: Simplify (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) into (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) 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]backup-simplify: Simplify (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) into (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) 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]backup-simplify: Simplify (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) into (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 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 (* 1/2 (/ 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]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) into (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) in K * [misc]taylor: Taking taylor expansion of (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) in K * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) in K * [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]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]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 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) * [misc]backup-simplify: Simplify (+ (/ 1/2 n) (/ 1/2 m)) 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]backup-simplify: Simplify (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) into (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]backup-simplify: Simplify (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) into (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [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]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]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]taylor: Taking taylor expansion of 0 in K * [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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) into (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K))) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 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))) (/ 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 (cos (/ (+ (/ 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))) (/ 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]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 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))) (/ 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]backup-simplify: Simplify (cos (* 1/2 (* n K))) into (cos (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* n K))) into (sin (* 1/2 (* n K))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 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))) (/ 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]backup-simplify: Simplify (cos (* 1/2 (* n K))) into (cos (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* n K))) into (sin (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* n K))) 1) into (cos (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* n K))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (* n K))) 0) into (cos (* 1/2 (* n K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* n K))) 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]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) 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]taylor: Taking taylor expansion of 1 in K * [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))) 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 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* n K))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (* 1/2 (* n K))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* K (sin (* 1/2 (* n K)))))) into (- (* 1/2 (* K (sin (* 1/2 (* n K)))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* K (sin (* 1/2 (* n K))))))) into (- (* 1/2 (* K (sin (* 1/2 (* n K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K (sin (* 1/2 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin (* 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 (* K (sin (* 1/2 (* n K)))) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* n K))) 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]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) 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 (* K 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 K * [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 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 (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (sqr K))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* n K))) (- (* 1/8 (sqr K)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (* 1/2 (* n K))) (sqr K)))) * [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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (* 1/2 (* n K))) (sqr K)))) 0) into (- (* 1/8 (* (cos (* 1/2 (* n K))) (sqr K)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (* 1/2 (* n K))) (sqr K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (* 1/2 (* n K))) (sqr K))) 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))) (sqr K)) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* n K))) 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]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) 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]taylor: Taking taylor expansion of (sqr K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* K K) into (sqr K) * [misc]backup-simplify: Simplify (* 1 (sqr K)) into (sqr K) * [misc]backup-simplify: Simplify (* 1/8 (sqr K)) into (* 1/8 (sqr K)) * [misc]backup-simplify: Simplify (- (* 1/8 (sqr K))) into (- (* 1/8 (sqr K))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sqr K))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (sqr K)) 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 (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 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) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* K (* 1/2 K)) (* 0 0)) into (* 1/2 (sqr K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (sqr K))) (* 0 0)) into (* 1/4 (sqr K)) * [misc]backup-simplify: Simplify (- (* 1/4 (sqr K))) into (- (* 1/4 (sqr K))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (sqr K))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr K)) 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 (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 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 (sqr K))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sqr K))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (sqr K)) 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 (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 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)))) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 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)))) (/ 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 (cos (/ (+ (/ 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)))) (/ 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]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 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)))) (/ 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]backup-simplify: Simplify (cos (* 1/2 (* n K))) into (cos (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* n K))) into (sin (* 1/2 (* n K))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 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)))) (/ 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]backup-simplify: Simplify (cos (* 1/2 (* n K))) into (cos (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* n K))) into (sin (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* n K))) 1) into (cos (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* n K))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (* n K))) 0) into (cos (* 1/2 (* n K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* n K))) 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]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) 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]taylor: Taking taylor expansion of 1 in K * [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))) 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 (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* n K))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (* 1/2 (* n K))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* K (sin (* 1/2 (* n K)))))) into (- (* 1/2 (* K (sin (* 1/2 (* n K)))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* K (sin (* 1/2 (* n K))))))) into (- (* 1/2 (* K (sin (* 1/2 (* n K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K (sin (* 1/2 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin (* 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 (* K (sin (* 1/2 (* n K)))) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* n K))) 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]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) 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 (* K 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 K * [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 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 (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (sqr K))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* n K))) (- (* 1/8 (sqr K)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (* 1/2 (* n K))) (sqr K)))) * [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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 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 (* 1/2 (* n K))) (sqr K)))) 0) into (- (* 1/8 (* (cos (* 1/2 (* n K))) (sqr K)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (* 1/2 (* n K))) (sqr K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (* 1/2 (* n K))) (sqr K))) 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))) (sqr K)) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* n K))) 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]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) 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]taylor: Taking taylor expansion of (sqr K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* K K) into (sqr K) * [misc]backup-simplify: Simplify (* 1 (sqr K)) into (sqr K) * [misc]backup-simplify: Simplify (* 1/8 (sqr K)) into (* 1/8 (sqr K)) * [misc]backup-simplify: Simplify (- (* 1/8 (sqr K))) into (- (* 1/8 (sqr K))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sqr K))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (sqr K)) 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 (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 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) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* K (* 1/2 K)) (* 0 0)) into (* 1/2 (sqr K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (sqr K))) (* 0 0)) into (* 1/4 (sqr K)) * [misc]backup-simplify: Simplify (- (* 1/4 (sqr K))) into (- (* 1/4 (sqr K))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (sqr K))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (sqr K)) 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 (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 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 (sqr K))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sqr K))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (sqr K)) 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 (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 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: [ 3 / 4 ] generating series at (2 1 2 2 1) * [misc]approximate: Taking taylor expansion of (sin (/ 1 M)) in (M) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]approximate: Taking taylor expansion of (sin (/ 1 (/ 1 M))) in (M) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (/ 1 M))) in M * [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]taylor: Taking taylor expansion of (sin (/ 1 (/ 1 M))) in M * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow (/ 1 M) 5)) (+ (* -1/6 (pow (/ 1 M) 3)) (* 1 (/ 1 M)))) into (- (+ (/ 1 M) (* 1/120 (/ 1 (pow M 5)))) (* 1/6 (/ 1 (pow M 3)))) * [misc]approximate: Taking taylor expansion of (sin (/ 1 (/ 1 (- M)))) in (M) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (/ 1 (- M)))) in M * [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]taylor: Taking taylor expansion of (sin (/ 1 (/ 1 (- M)))) in M * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1 1) 1))) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow -1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [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 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow -1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1 5) 120)) 0 (* -1 (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow -1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into (- 1/120) * [misc]backup-simplify: Simplify (- 1/120) into -1/120 * [misc]backup-simplify: Simplify (+ (* -1/120 (pow (/ 1 (- M)) 5)) (+ (* 1/6 (pow (/ 1 (- M)) 3)) (* -1 (/ 1 (- M))))) into (- (+ (/ 1 M) (* 1/120 (/ 1 (pow M 5)))) (* 1/6 (/ 1 (pow M 3)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cos (/ 1 M)) in (M) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]approximate: Taking taylor expansion of (cos (/ 1 (/ 1 M))) in (M) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (/ 1 M))) in M * [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]taylor: Taking taylor expansion of (cos (/ 1 (/ 1 M))) in M * [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 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow (/ 1 M) 4)) (+ (* -1/2 (sqr (/ 1 M))) 1)) into (- (+ (* 1/24 (/ 1 (pow M 4))) 1) (* 1/2 (/ 1 (sqr M)))) * [misc]approximate: Taking taylor expansion of (cos (/ 1 (/ 1 (- M)))) in (M) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (/ 1 (- M)))) in M * [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]taylor: Taking taylor expansion of (cos (/ 1 (/ 1 (- M)))) in M * [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 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow -1 2) 2)) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow -1 1) 1) (/ (pow 0 1) 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 (- 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 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1 4) 24)) 0 (* -1 (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow (/ 1 (- M)) 4)) (+ (* -1/2 (sqr (/ 1 (- M)))) 1)) into (- (+ (* 1/24 (/ 1 (pow M 4))) 1) (* 1/2 (/ 1 (sqr M)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (/ 1 M))) (* (sin (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) (- (sin (/ 1 M))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (/ (- (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cos (/ 1 M))) (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (/ 1 M))) (* 0 (- (sin (/ 1 M))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (- (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cos (/ 1 M))) 0) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (/ 1 M))) (* 0 (- (sin (/ 1 M))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (- (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cos (/ 1 M))) 0) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K)) (cos (/ 1 M))) (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (sin (/ 1 M))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (- (* (cos (/ 1 M)) (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K))) (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 (cos (/ 1 M))) (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (sin (/ 1 M))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (- (cos (/ 1 M)) (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)))) (exp (+ (sqr (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 (cos (/ 1 M))) (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (sin (/ 1 M))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (- (cos (/ 1 M)) (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)))) (exp (+ (sqr (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (/ 1 M))) (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (sin (/ 1 M))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (- (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cos (/ 1 M))) (* (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (- (sin (/ 1 M))))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (/ 1 M))) (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (- (+ (/ 1 M) (* 1/120 (/ 1 (pow M 5)))) (* 1/6 (/ 1 (pow M 3))))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cos (/ 1 M))) (- (* (+ (- (/ 1 M) (/ 1/6 (cube M))) (/ 1/120 (pow M 5))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (/ 1 M))) (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (- (+ (/ 1 M) (* 1/120 (/ 1 (pow M 5)))) (* 1/6 (/ 1 (pow M 3))))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cos (/ 1 M))) (- (* (+ (- (/ 1 M) (/ 1/6 (cube M))) (/ 1/120 (pow M 5))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (/ 1 M))) (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (sin (/ 1 M))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (- (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cos (/ 1 M))) (* (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (- (sin (/ 1 M))))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (+ (* 1/24 (/ 1 (pow M 4))) 1) (* 1/2 (/ 1 (sqr M))))) (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (sin (/ 1 M))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (/ (- (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (+ 1 (- (/ 1/24 (pow M 4)) (/ (/ 1/2 M) M)))) (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (+ (* 1/24 (/ 1 (pow M 4))) 1) (* 1/2 (/ 1 (sqr M))))) (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (- (sin (/ 1 M))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (/ (- (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (+ 1 (- (/ 1/24 (pow M 4)) (/ (/ 1/2 M) M)))) (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (+ (/ 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 (log (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (log (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (+ (/ 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 (exp (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (exp (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (/ (+ (/ 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 (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (cbrt (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cube (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (cube (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (+ (/ 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 (sqrt (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (+ (/ 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 (log (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (log (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (+ (/ 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 (exp (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (exp (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (/ (+ (/ 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 (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cube (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (cube (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (+ (/ 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 (sqrt (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ 1 M))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (sin (/ 1 M))) * [exit]simplify: Simplified to (log (sin (/ 1 M))) * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ 1 M))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (sin (/ 1 M))) * [exit]simplify: Simplified to (exp (sin (/ 1 M))) * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (/ 1 M))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ 1 M))) * [exit]simplify: Simplified to (cbrt (sin (/ 1 M))) * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sin (/ 1 M))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cube (sin (/ 1 M))) * [exit]simplify: Simplified to (cube (sin (/ 1 M))) * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ 1 M))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ 1 M))) * [exit]simplify: Simplified to (sqrt (sin (/ 1 M))) * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ 1 M))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (cos (/ 1 M))) * [exit]simplify: Simplified to (log (cos (/ 1 M))) * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ 1 M))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (cos (/ 1 M))) * [exit]simplify: Simplified to (exp (cos (/ 1 M))) * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (/ 1 M))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ 1 M))) * [exit]simplify: Simplified to (cbrt (cos (/ 1 M))) * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cos (/ 1 M))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cube (cos (/ 1 M))) * [exit]simplify: Simplified to (cube (cos (/ 1 M))) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ 1 M))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ 1 M))) * [exit]simplify: Simplified to (sqrt (cos (/ 1 M))) * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (/ (* K (+ m n)) 2) M) -3.7786722243375715e+304) #s(sp 1 (- (/ (* K (+ m n)) 2) M) 3.2708293012512454e+304) #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) -3.7786722243375715e+304)) (#s(sp 1 (- (/ (* K (+ m n)) 2) M) 3.2708293012512454e+304) . #s(sp 0 (- (/ (* K (+ m n)) 2) M) +inf.0))) * [misc]splitpoints: intervals are: ((#s(sp 0 (- (/ (* K (+ m n)) 2) M) -3.7786722243375715e+304) . #s(sp 1 (- (/ (* K (+ m n)) 2) M) 3.2708293012512454e+304))) * [enter]simplify: Simplifying (sin (/ (/ 1/2 K) m)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sin (/ (/ 1/2 m) K)) * [exit]simplify: Simplified to (sin (/ (/ 1/2 m) K)) * [enter]simplify: Simplifying (sin (- (/ 1/2 (* n K)) (/ 1 M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sin (- (/ 1/2 (* K n)) (/ 1 M))) * [exit]simplify: Simplified to (sin (- (/ 1/2 (* K n)) (/ 1 M))) * [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)) * [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))) * [enter]simplify: Simplifying (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) * [exit]simplify: Simplified to (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) * [enter]simplify: Simplifying (* (- (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (/ 1 M))) (* 0 (- (sin (/ 1 M))))) (exp (- (- (sqr (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (- (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cos (/ 1 M))) 0) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * [enter]simplify: Simplifying (- (cos (/ 1 M)) (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (- (cos (/ 1 M)) (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)))) * [exit]simplify: Simplified to (- (cos (/ 1 M)) (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)))) * [enter]simplify: Simplifying (exp (+ (sqr (- (/ (+ n m) 2) M)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (exp (- (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (fabs (- m n)) l))) * [exit]simplify: Simplified to (exp (- (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (fabs (- m n)) l))) * [enter]simplify: Simplifying (sin (/ (/ 1/2 K) m)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sin (/ (/ 1/2 m) K)) * [exit]simplify: Simplified to (sin (/ (/ 1/2 m) K)) * [enter]simplify: Simplifying (sin (- (/ 1/2 (* n K)) (/ 1 M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sin (- (/ 1/2 (* K n)) (/ 1 M))) * [exit]simplify: Simplified to (sin (- (/ 1/2 (* K n)) (/ 1 M)))