* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (exp (- l (fabs (- m n)))) (cos (- (/ (+ m n) (/ 2 K)) M)))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 n) (* 1/2 m))) into (log (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) into (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 n) (* 1/2 m))))) into (pow (+ (* 1/2 n) (* 1/2 m)) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 m) M)) into (log (- (* 1/2 m) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 m) M))) into (* 2 (log (- (* 1/2 m) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 m) M)))) into (pow (- (* 1/2 m) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (* 1/2 n) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (* 1/2 n) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 n) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (log (- M)) into (log (- M)) * [misc]backup-simplify: Simplify (* 2 (log (- M))) into (* 2 (log (- M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- M)))) into (pow (- M) 2) * [misc]taylor: Taking taylor expansion of (pow (- M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (* 2 (+ (log M) (log -1))) into (* 2 (+ (log M) (log -1))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- (* 1/2 n) M) 1)))) 1) into (/ 1/2 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M)))) into (/ 1 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 1) 1)))) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- M) 1)))) 1) into (/ -1/2 M) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/2 M)) (* 0 (log (- M)))) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- M)))) (+ (* (/ (pow (- (/ 1 M)) 1) 1)))) into (* -1 M) * [misc]taylor: Taking taylor expansion of (* -1 M) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log M) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log M) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (- (* 1/2 n) M) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 n) M) 1)))) 2) into (/ -1/8 (pow (- (* 1/2 n) M) 2)) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/8 (pow (- (* 1/2 n) M) 2))) (+ (* 0 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M))))) into (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) 1) 1)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n m))) (+ (* 1/4 (pow (* 1 (* 1 m)) 2)) (exp (* 2 (+ (log M) (log -1)))))) into (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m)))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) (log -1)) into (- (log -1) (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log M))) into (* 2 (- (log -1) (log M))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log M)))) into (exp (* 2 (- (log -1) (log M)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 1/2)) into (- (log 1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log n))) into (* 2 (- (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log n)))) into (exp (* 2 (- (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 1)) (pow 1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* (- (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m)))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (* 4 (/ 1 M))) 0) (* (* 4 (/ 1 (pow M 2))) (exp (* 2 (- (log 1/2) (log m))))))) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (- (* 4 (/ 1 M))) 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) 0) into (- (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log M))) into (* -2 (log M)) * [misc]backup-simplify: Simplify (exp (* -2 (log M))) into (pow M -2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1/2)) into (- (log -1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log n))) into (* 2 (- (log -1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log n)))) into (exp (* 2 (- (log -1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 1)) (pow -1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 4 (/ 1 M)))) (* 0 2)) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) (* 4 (/ 1 (pow M 2)))) (+ (* 0 (- (* 4 (/ 1 M)))) (* 0 1))) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) 0) (+ (* 0 (- (* 4 (/ 1 M)))) (* 0 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (* K (+ m n)) in (K m n) around 0 * [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 (* 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 (* 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 (* 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]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) 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 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n 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 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) 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 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 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]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 (* n (* 1 K))) (* 1 (* 1 (* m K)))) into (+ (* m K) (* n K)) * [misc]approximate: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in (K m n) around 0 * [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 (* (/ 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 (* (/ 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 (* (/ 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]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]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 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]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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]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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 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 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 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* m K) (* n K)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in (K m n) around 0 * [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 (* (/ 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 (* (/ 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 (* (/ 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]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]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 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]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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]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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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 0 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 (- 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]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 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 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 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* m K) (* n K)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (- (/ (+ m n) 2) M) in (m n M) around 0 * [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 (- (/ (+ 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 (- (/ (+ 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 (- (/ (+ 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]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 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]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 (+ (* 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) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* M (* 1 1))) (+ (* 1/2 (* 1 (* n 1))) (* 1/2 (* 1 (* 1 m))))) into (- (+ (* 1/2 n) (* 1/2 m)) M) * [misc]approximate: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in (m n M) around 0 * [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 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 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 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]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]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 (* 1/2 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 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]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]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) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* 1 (/ 1 (/ 1 m))))) (+ (* 1/2 (* 1 (* (/ 1 (/ 1 n)) 1))) (* -1 (* (/ 1 (/ 1 M)) (* 1 1))))) into (- (+ (* 1/2 n) (* 1/2 m)) M) * [misc]approximate: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in (m n M) around 0 * [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 (- 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 (- 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 (- 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]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 (- 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]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ 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 (* 1/2 (/ 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]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -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]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 (- 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]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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) 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 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]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 (+ (* -1/2 (* 1 (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1/2 (* 1 (* (/ 1 (/ 1 (- n))) 1))) (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))))) into (- (+ (* 1/2 n) (* 1/2 m)) M) * * * [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 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (/ (cos (+ (/ 1 M) (/ (+ (/ 1/2 m) (/ 1/2 n)) K))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (/ (/ (cos (- (* (/ K 2) (+ m n)) M)) (* (exp (* (* M -1) (* M -1))) (pow (exp m) (+ (* 1/4 m) (* n 1/2))))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (exp (* 2 (- (log 1/2) (log m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- l (fabs (- m n))) (* (/ 1/2 m) (/ 1/2 m))))) * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (exp (* 2 (- (log -1/2) (log m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- l (fabs (- m n))) (* (/ -1/2 m) (/ -1/2 m))))) * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (+ (* m K) (* n K)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (+ (* m K) (* n K)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (+ (* m K) (* n K)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (+ (* 1/2 n) (* 1/2 m)) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (* (/ (cos (- (* (+ m n) (/ K 2)) M)) (exp (- l (fabs (- m n))))) (pow (* (/ 1 (exp (* 1/2 m))) (exp (- M (* n 1/2)))) (- (* 1/2 (+ m n)) M))) * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (+ (* 1/2 n) (* 1/2 m)) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (* (/ (cos (- (* (+ m n) (/ K 2)) M)) (exp (- l (fabs (- m n))))) (pow (* (/ 1 (exp (* 1/2 m))) (exp (- M (* n 1/2)))) (- (* 1/2 (+ m n)) M))) * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (+ (* 1/2 n) (* 1/2 m)) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (* (/ (cos (- (* (+ m n) (/ K 2)) M)) (exp (- l (fabs (- m n))))) (pow (* (/ 1 (exp (* 1/2 m))) (exp (- M (* n 1/2)))) (- (* 1/2 (+ m n)) M))) * * * * [misc]progress: [ 13 / 60 ] 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 / 60 ] 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 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 60 ] 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 / 60 ] 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) * [enter]simplify: Simplifying (pow (cbrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (- (/ (+ m n) 2) M) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [enter]simplify: Simplifying (cbrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (- (/ (+ m n) 2) M) 2) (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 3) * [exit]simplify: Simplified to (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 3) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (log (* (+ m n) K)) * [exit]simplify: Simplified to (log (* (+ m n) K)) * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (pow (exp K) (+ m n)) * [exit]simplify: Simplified to (pow (exp K) (+ m n)) * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) * [exit]simplify: Simplified to (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) * [enter]simplify: Simplifying (cbrt (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* K (+ m n)) (* K (+ m n))) (* K (+ m n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (pow (* (+ m n) K) 3) * [exit]simplify: Simplified to (pow (* (+ m n) K) 3) * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [enter]simplify: Simplifying (sqrt (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* K m) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* m K) * [exit]simplify: Simplified to (* m K) * [enter]simplify: Simplifying (* K n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* n K) * [exit]simplify: Simplified to (* n K) * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* m K) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* K m) * [exit]simplify: Simplified to (* K m) * [enter]simplify: Simplifying (* n K) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* K n) * [exit]simplify: Simplified to (* K n) * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (* K (cbrt (+ m n))) (cbrt (+ m n))) * [exit]simplify: Simplified to (* (* K (cbrt (+ m n))) (cbrt (+ m n))) * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (sqrt (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* K (sqrt (+ m n))) * [exit]simplify: Simplified to (* K (sqrt (+ m n))) * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* K 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to K * [exit]simplify: Simplified to K * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (+ (pow m 3) (pow n 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (+ (* (* n n) (* K n)) (* (* m K) (* m m))) * [exit]simplify: Simplified to (+ (* (* n n) (* K n)) (* (* m K) (* m m))) * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (- (* m m) (* n n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (* K (- m n)) (+ n m)) * [exit]simplify: Simplified to (* (* K (- m n)) (+ n m)) * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (log (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (exp (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (exp (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * [enter]simplify: Simplifying (cbrt (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (cbrt (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ 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) * [exit]simplify: Simplified to (pow (- (/ (+ n m) 2) M) 3) * [exit]simplify: Simplified to (pow (- (/ (+ n m) 2) M) 3) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (sqrt (- (/ (+ n m) 2) M)) * [enter]simplify: Simplifying (sqrt (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (sqrt (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ (+ m n) 2) 3) (pow M 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (- (pow (/ (+ n m) 2) 3) (pow M 3)) * [exit]simplify: Simplified to (- (pow (/ (+ n m) 2) 3) (pow M 3)) * [enter]simplify: Simplifying (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ 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))) * * * * [misc]progress: [ 58 / 60 ] 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: [ 59 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (137 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)) * [enter]simplify: Simplifying (+ (/ (+ m n) 2) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (+ (/ (+ n m) 2) M) * [exit]simplify: Simplified to (+ (/ (+ n m) 2) M) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (* (+ m n) (/ K 2)) M)) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* (+ m n) (/ K 2)) M)) in M * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in M * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 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 (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* (+ n m) (* 1/2 K)) into (* 1/2 (* (+ n m) K)) * [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 (- (* (+ m n) (/ K 2)) M)) in K * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (- 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 (- (* (+ m n) (/ K 2)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m (* 1/2 K)) 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 (- (* (+ m n) (/ K 2)) M)) in m * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n (* 1/2 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 (- (* (+ m n) (/ K 2)) M)) in m * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n (* 1/2 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 n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (* n K)) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 (* 1/2 K))) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (* n K)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K))) into (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)))) into (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- (* 1/2 (* n K)) M)) K) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) K) into (* (sin (- M)) K) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) K)) into (* 1/2 (* (sin (- M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) K))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) K) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (- M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) K))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (- M)) K)))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) K) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (* n K)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (* n K)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) 0) into (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log K))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log K)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (* 2 (log K)) into (* 2 (log K)) * [misc]backup-simplify: Simplify (exp (* 2 (log K))) into (pow K 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow K 2)) into (* (cos (- M)) (pow K 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow K 2))) into (* 1/8 (* (cos (- M)) (pow K 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow K 2)))) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos (- M)) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (- M)) K))) into (* 1/2 (* (cos (- M)) K)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* (* 1/2 (* (cos (- M)) K)) K)) into (* 1/2 (* (cos (- M)) (pow K 2))) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (* (cos (- M)) (pow K 2)))) (* 0 (* (sin (- M)) K))) into (* 1/4 (* (cos (- M)) (pow K 2))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (cos (- M)) (pow K 2)))) into (- (* 1/4 (* (cos (- M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (cos (- M)) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (- M)) (pow K 2)))) 0) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [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 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 m) (/ 1 n)) (/ (/ 1 K) 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 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (+ (/ 1 n) (/ 1 m)) 1/2) into (* 1/2 (+ (/ 1 n) (/ 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 m) (/ 1 n)) (/ (/ 1 K) 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 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [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 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [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 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in K * [misc]taylor: Taking taylor expansion of (* m K) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (+ (* m 1) (* 0 0)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in K * [misc]taylor: Taking taylor expansion of (* n K) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [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 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 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 n) (/ 1 m))) -1/2) into (* 1/2 (+ (/ 1 n) (/ 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 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [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 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [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 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 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 K * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n 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 (+ (* 1/2 (/ 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]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 (+ 0 (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [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 n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ m n) (/ K 2)) M))))) in M * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ m n) (/ K 2)) M)))) in M * [misc]taylor: Taking taylor expansion of 3 in M * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ m n) (/ K 2)) M))) in M * [misc]taylor: Taking taylor expansion of (cos (- (* (+ m n) (/ K 2)) M)) in M * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in M * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 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 (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* (+ n m) (* 1/2 K)) into (* 1/2 (* (+ n m) K)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 1) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 0) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K))))) into (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))))) into (* 3 (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K))))))) into (pow (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ m n) (/ K 2)) M))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ m n) (/ K 2)) M)))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ m n) (/ K 2)) M))) in K * [misc]taylor: Taking taylor expansion of (cos (- (* (+ m n) (/ K 2)) M)) in K * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- M)))) into (* 3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- M))))) into (pow (cos (- M)) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ m n) (/ K 2)) M))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ m n) (/ K 2)) M)))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ m n) (/ K 2)) M))) in n * [misc]taylor: Taking taylor expansion of (cos (- (* (+ m n) (/ K 2)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m (* 1/2 K)) 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]backup-simplify: Simplify (* (cos (- (* 1/2 (* m K)) M)) 1) into (cos (- (* 1/2 (* m K)) M)) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (* m K)) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (* m K)) M)) 0) into (cos (- (* 1/2 (* m K)) M)) * [misc]backup-simplify: Simplify (log (cos (- (* 1/2 (* m K)) M))) into (log (cos (- (* 1/2 (* m K)) M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (* 1/2 (* m K)) M)))) into (* 3 (log (cos (- (* 1/2 (* m K)) M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (* 1/2 (* m K)) M))))) into (pow (cos (- (* 1/2 (* m K)) M)) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ m n) (/ K 2)) M))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ m n) (/ K 2)) M)))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ m n) (/ K 2)) M))) in m * [misc]taylor: Taking taylor expansion of (cos (- (* (+ m n) (/ K 2)) M)) in m * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n (* 1/2 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]backup-simplify: Simplify (log (cos (- (* 1/2 (* n K)) M))) into (log (cos (- (* 1/2 (* n K)) M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (* 1/2 (* n K)) M)))) into (* 3 (log (cos (- (* 1/2 (* n K)) M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (* 1/2 (* n K)) M))))) into (pow (cos (- (* 1/2 (* n K)) M)) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ m n) (/ K 2)) M))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ m n) (/ K 2)) M)))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ m n) (/ K 2)) M))) in m * [misc]taylor: Taking taylor expansion of (cos (- (* (+ m n) (/ K 2)) M)) in m * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n (* 1/2 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]backup-simplify: Simplify (log (cos (- (* 1/2 (* n K)) M))) into (log (cos (- (* 1/2 (* n K)) M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (* 1/2 (* n K)) M)))) into (* 3 (log (cos (- (* 1/2 (* n K)) M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (* 1/2 (* n K)) M))))) into (pow (cos (- (* 1/2 (* n K)) M)) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* 1/2 (* n K)) M)) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* 1/2 (* n K)) M))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* 1/2 (* n K)) M)))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* 1/2 (* n K)) M))) in n * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- M)))) into (* 3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- M))))) into (pow (cos (- M)) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- M)))) into (* 3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- M))))) into (pow (cos (- M)) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- M))))) in M * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- M)))) in M * [misc]taylor: Taking taylor expansion of 3 in M * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in M * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (* n K)) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 (* 1/2 K))) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)))) 1)) (pow (cos (- (* 1/2 (* n K)) M)) 1)))) 1) into (* -1/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) (* 0 (log (cos (- (* 1/2 (* n K)) M))))) into (- (* 3/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (* 1/2 (* n K)) M))))) (+ (* (/ (pow (- (* 3/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) 1) 1)))) into (* -3/2 (* (sin (- (* 1/2 (* n K)) M)) (* (pow (cos (- (* 1/2 (* n K)) M)) 2) K))) * [misc]taylor: Taking taylor expansion of (* -3/2 (* (sin (- (* 1/2 (* n K)) M)) (* (pow (cos (- (* 1/2 (* n K)) M)) 2) K))) in n * [misc]taylor: Taking taylor expansion of -3/2 in n * [misc]backup-simplify: Simplify -3/2 into -3/2 * [misc]taylor: Taking taylor expansion of (* (sin (- (* 1/2 (* n K)) M)) (* (pow (cos (- (* 1/2 (* n K)) M)) 2) K)) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (* (pow (cos (- (* 1/2 (* n K)) M)) 2) K) in n * [misc]taylor: Taking taylor expansion of (pow (cos (- (* 1/2 (* n K)) M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- (* 1/2 (* n K)) M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- (* 1/2 (* n K)) M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- (* 1/2 (* n K)) M))) in n * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 2 (log (cos (- M)))) into (* 2 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (- M))))) into (pow (cos (- M)) 2) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (pow (cos (- M)) 2) K) into (* (pow (cos (- M)) 2) K) * [misc]backup-simplify: Simplify (* (sin (- M)) (* (pow (cos (- M)) 2) K)) into (* (pow (cos (- M)) 2) (* (sin (- M)) K)) * [misc]backup-simplify: Simplify (* -3/2 (* (pow (cos (- M)) 2) (* (sin (- M)) K))) into (* -3/2 (* (pow (cos (- M)) 2) (* (sin (- M)) K))) * [misc]taylor: Taking taylor expansion of (* -3/2 (* (pow (cos (- M)) 2) (* (sin (- M)) K))) in K * [misc]taylor: Taking taylor expansion of -3/2 in K * [misc]backup-simplify: Simplify -3/2 into -3/2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (- M)) 2) (* (sin (- M)) K)) in K * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 2 (log (cos (- M)))) into (* 2 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (- M))))) into (pow (cos (- M)) 2) * [misc]taylor: Taking taylor expansion of (* (sin (- M)) K) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* (pow (cos (- M)) 2) 0) into 0 * [misc]backup-simplify: Simplify (* -3/2 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]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (- M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) K))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (- M)) K)))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (* (sin (- M)) K)))) 1)) (pow (cos (- M)) 1)))) 1) into (* -1/2 (/ (* (sin (- M)) K) (cos (- M)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (/ (* (sin (- M)) K) (cos (- M))))) (* 0 (log (cos (- M))))) into (- (* 3/2 (/ (* (sin (- M)) K) (cos (- M))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- M))))) (+ (* (/ (pow (- (* 3/2 (/ (* (sin (- M)) K) (cos (- M))))) 1) 1)))) into (* -3/2 (* (pow (cos (- M)) 2) (* (sin (- M)) K))) * [misc]taylor: Taking taylor expansion of (* -3/2 (* (pow (cos (- M)) 2) (* (sin (- M)) K))) in K * [misc]taylor: Taking taylor expansion of -3/2 in K * [misc]backup-simplify: Simplify -3/2 into -3/2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (- M)) 2) (* (sin (- M)) K)) in K * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 2 (log (cos (- M)))) into (* 2 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (- M))))) into (pow (cos (- M)) 2) * [misc]taylor: Taking taylor expansion of (* (sin (- M)) K) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* (pow (cos (- M)) 2) 0) into 0 * [misc]backup-simplify: Simplify (* -3/2 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]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (- M))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (* n K)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (* n K)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) 0) into (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)))) 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2))))) 1)) (pow (cos (- (* 1/2 (* n K)) M)) 1)))) 2) into (* -1/2 (+ (* 1/4 (pow K 2)) (* 1/4 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (* 1/4 (pow K 2)) (* 1/4 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2)))))) (+ (* 0 (* -1/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) (* 0 (log (cos (- (* 1/2 (* n K)) M)))))) into (- (+ (* 3/8 (pow K 2)) (* 3/8 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (* 1/2 (* n K)) M))))) (+ (* (/ (pow (- (* 3/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) 2) 2)) (* (/ (pow (- (+ (* 3/8 (pow K 2)) (* 3/8 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))))) 1) 1)))) into (* (- (* 3/4 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))) (* 3/8 (pow K 2))) (pow (cos (- (* 1/2 (* n K)) M)) 3)) * [misc]taylor: Taking taylor expansion of (* (- (* 3/4 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))) (* 3/8 (pow K 2))) (pow (cos (- (* 1/2 (* n K)) M)) 3)) in n * [misc]taylor: Taking taylor expansion of (- (* 3/4 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))) (* 3/8 (pow K 2))) in n * [misc]taylor: Taking taylor expansion of (* 3/4 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))) in n * [misc]taylor: Taking taylor expansion of 3/4 in n * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2)) in n * [misc]taylor: Taking taylor expansion of (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (pow (sin (- (* 1/2 (* n K)) M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (- (* 1/2 (* n K)) M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (- (* 1/2 (* n K)) M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (- (* 1/2 (* n K)) M))) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (log (sin (- M))) into (log (sin (- M))) * [misc]backup-simplify: Simplify (* 2 (log (sin (- M)))) into (* 2 (log (sin (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sin (- M))))) into (pow (sin (- M)) 2) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log K))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log K)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (* 2 (log K)) into (* 2 (log K)) * [misc]backup-simplify: Simplify (exp (* 2 (log K))) into (pow K 2) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* 1/2 (* n K)) M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- (* 1/2 (* n K)) M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- (* 1/2 (* n K)) M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- (* 1/2 (* n K)) M))) in n * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 2 (log (cos (- M)))) into (* 2 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (- M))))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (* (pow (sin (- M)) 2) (pow K 2)) into (* (pow (sin (- M)) 2) (pow K 2)) * [misc]backup-simplify: Simplify (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2)) into (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2)) * [misc]taylor: Taking taylor expansion of (* 3/8 (pow K 2)) in n * [misc]taylor: Taking taylor expansion of 3/8 in n * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log K))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log K)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (* 2 (log K)) into (* 2 (log K)) * [misc]backup-simplify: Simplify (exp (* 2 (log K))) into (pow K 2) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* 1/2 (* n K)) M)) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* 1/2 (* n K)) M))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* 1/2 (* n K)) M)))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* 1/2 (* n K)) M))) in n * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- M)))) into (* 3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- M))))) into (pow (cos (- M)) 3) * [misc]backup-simplify: Simplify (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) into (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) * [misc]backup-simplify: Simplify (* 3/8 (pow K 2)) into (* 3/8 (pow K 2)) * [misc]backup-simplify: Simplify (- (* 3/8 (pow K 2))) into (- (* 3/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) (- (* 3/8 (pow K 2)))) into (- (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) (* 3/8 (pow K 2))) * [misc]backup-simplify: Simplify (* (- (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) (* 3/8 (pow K 2))) (pow (cos (- M)) 3)) into (* (pow (cos (- M)) 3) (- (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) (* 3/8 (pow K 2)))) * [misc]taylor: Taking taylor expansion of (* (pow (cos (- M)) 3) (- (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) (* 3/8 (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- M)))) into (* 3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- M))))) into (pow (cos (- M)) 3) * [misc]taylor: Taking taylor expansion of (- (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) (* 3/8 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) in K * [misc]taylor: Taking taylor expansion of 3/4 in K * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2)) in K * [misc]taylor: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (pow (sin (- M)) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (- M)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (- M))) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (log (sin (- M))) into (log (sin (- M))) * [misc]backup-simplify: Simplify (* 2 (log (sin (- M)))) into (* 2 (log (sin (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sin (- M))))) into (pow (sin (- M)) 2) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 2 (log (cos (- M)))) into (* 2 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (- M))))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (* (pow (sin (- M)) 2) 1) into (pow (sin (- M)) 2) * [misc]backup-simplify: Simplify (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) into (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) * [misc]taylor: Taking taylor expansion of (* 3/8 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 3/8 in K * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (- M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) K))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (- M)) K)))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (* (sin (- M)) K)))) 1)) (pow (cos (- M)) 1)))) 1) into (* -1/2 (/ (* (sin (- M)) K) (cos (- M)))) * [misc]backup-simplify: Simplify (+ (* 2 (* -1/2 (/ (* (sin (- M)) K) (cos (- M))))) (* 0 (log (cos (- M))))) into (- (/ (* (sin (- M)) K) (cos (- M)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (- M))))) (+ (* (/ (pow (- (/ (* (sin (- M)) K) (cos (- M)))) 1) 1)))) into (* -1 (* (cos (- M)) (* (sin (- M)) K))) * [misc]backup-simplify: Simplify (+ (* (pow (cos (- M)) 2) 0) (* (* -1 (* (cos (- M)) (* (sin (- M)) K))) K)) into (- (* (cos (- M)) (* (sin (- M)) (pow K 2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos (- M)) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (- M)) K))) into (* 1/2 (* (cos (- M)) K)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (- (* (cos (- M)) (* (sin (- M)) (pow K 2))))) (* (* 1/2 (* (cos (- M)) K)) (* (pow (cos (- M)) 2) K))) into (- (* 1/2 (* (pow (cos (- M)) 3) (pow K 2))) (* (cos (- M)) (* (pow (sin (- M)) 2) (pow K 2)))) * [misc]backup-simplify: Simplify (+ (* -3/2 (- (* 1/2 (* (pow (cos (- M)) 3) (pow K 2))) (* (cos (- M)) (* (pow (sin (- M)) 2) (pow K 2))))) (* 0 (* (pow (cos (- M)) 2) (* (sin (- M)) K)))) into (- (* 3/2 (* (cos (- M)) (* (pow (sin (- M)) 2) (pow K 2)))) (* 3/4 (* (pow (cos (- M)) 3) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 3/2 (* (cos (- M)) (* (pow (sin (- M)) 2) (pow K 2)))) (* 3/4 (* (pow (cos (- M)) 3) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 3/2 (* (cos (- M)) (* (pow (sin (- M)) 2) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of 3/2 in K * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* (pow (sin (- M)) 2) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (pow (sin (- M)) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (- M)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (- M))) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (log (sin (- M))) into (log (sin (- M))) * [misc]backup-simplify: Simplify (* 2 (log (sin (- M)))) into (* 2 (log (sin (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sin (- M))))) into (pow (sin (- M)) 2) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of (* 3/4 (* (pow (cos (- M)) 3) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 3/4 in K * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (* (pow (cos (- M)) 3) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- M)))) into (* 3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- M))))) into (pow (cos (- M)) 3) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (- M)) (pow K 2)))) 0) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (* (sin (- M)) K)))) 2)) (pow (cos (- M)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (cos (- M)) (pow K 2))))) 1)) (pow (cos (- M)) 1)))) 2) into (* -1/2 (+ (* 1/4 (pow K 2)) (* 1/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (* 1/4 (pow K 2)) (* 1/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2)))))) (+ (* 0 (* -1/2 (/ (* (sin (- M)) K) (cos (- M))))) (* 0 (log (cos (- M)))))) into (- (+ (* 3/8 (pow K 2)) (* 3/8 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- M))))) (+ (* (/ (pow (- (* 3/2 (/ (* (sin (- M)) K) (cos (- M))))) 2) 2)) (* (/ (pow (- (+ (* 3/8 (pow K 2)) (* 3/8 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))))) 1) 1)))) into (* (pow (cos (- M)) 3) (- (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) (* 3/8 (pow K 2)))) * [misc]taylor: Taking taylor expansion of (* (pow (cos (- M)) 3) (- (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) (* 3/8 (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- M)))) into (* 3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- M))))) into (pow (cos (- M)) 3) * [misc]taylor: Taking taylor expansion of (- (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) (* 3/8 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) in K * [misc]taylor: Taking taylor expansion of 3/4 in K * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2)) in K * [misc]taylor: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (pow (sin (- M)) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (- M)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (- M))) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (log (sin (- M))) into (log (sin (- M))) * [misc]backup-simplify: Simplify (* 2 (log (sin (- M)))) into (* 2 (log (sin (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sin (- M))))) into (pow (sin (- M)) 2) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 2 (log (cos (- M)))) into (* 2 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (- M))))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (* (pow (sin (- M)) 2) 1) into (pow (sin (- M)) 2) * [misc]backup-simplify: Simplify (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) into (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) * [misc]taylor: Taking taylor expansion of (* 3/8 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 3/8 in K * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (- M))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (- M)) 2) (sin (- M))) (* 0 0)) into (* (pow (cos (- M)) 2) (sin (- M))) * [misc]backup-simplify: Simplify (+ (* -3/2 (* (pow (cos (- M)) 2) (sin (- M)))) (* 0 0)) into (- (* 3/2 (* (pow (cos (- M)) 2) (sin (- M))))) * [misc]taylor: Taking taylor expansion of (- (* 3/2 (* (pow (cos (- M)) 2) (sin (- M))))) in M * [misc]taylor: Taking taylor expansion of (* 3/2 (* (pow (cos (- M)) 2) (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of 3/2 in M * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (- M)) 2) (sin (- M))) in M * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in M * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 2 -1/2) (+ (* 0 0) (* 0 0))) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 3/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (- M))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (- M)) 2) (sin (- M))) (* 0 0)) into (* (pow (cos (- M)) 2) (sin (- M))) * [misc]backup-simplify: Simplify (+ (* -3/2 (* (pow (cos (- M)) 2) (sin (- M)))) (* 0 0)) into (- (* 3/2 (* (pow (cos (- M)) 2) (sin (- M))))) * [misc]taylor: Taking taylor expansion of (- (* 3/2 (* (pow (cos (- M)) 2) (sin (- M))))) in M * [misc]taylor: Taking taylor expansion of (* 3/2 (* (pow (cos (- M)) 2) (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of 3/2 in M * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (- M)) 2) (sin (- M))) in M * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (- M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (- M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in M * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 2 -1/2) (+ (* 0 0) (* 0 0))) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 3/2 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 (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))))) in M * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of 3 in M * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [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 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 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (+ (/ 1 n) (/ 1 m)) 1/2) into (* 1/2 (+ (/ 1 n) (/ 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 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [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 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [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 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) in K * [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]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) in M * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of 3 in M * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]backup-simplify: Simplify (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]approximate: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))))) in M * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of 3 in M * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [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 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 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 n) (/ 1 m))) -1/2) into (* 1/2 (+ (/ 1 n) (/ 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 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [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 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [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 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in n * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in K * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n 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 (+ (* 1/2 (/ 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]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 (+ 0 (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) in M * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) in M * [misc]taylor: Taking taylor expansion of 3 in M * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in M * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]backup-simplify: Simplify (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) in M * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) in M * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ m n) (/ K 2)) M))))) in M * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ m n) (/ K 2)) M)))) in M * [misc]taylor: Taking taylor expansion of 3 in M * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ m n) (/ K 2)) M))) in M * [misc]taylor: Taking taylor expansion of (cos (- (* (+ m n) (/ K 2)) M)) in M * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in M * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 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 (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* (+ n m) (* 1/2 K)) into (* 1/2 (* (+ n m) K)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 1) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 0) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K))))) into (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))))) into (* 3 (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K))))))) into (pow (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 3)) into (log (pow (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 3))) into (* 1/3 (log (pow (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 3)))) into (pow (pow (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) in K * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) in K * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ m n) (/ K 2)) M))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ m n) (/ K 2)) M)))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ m n) (/ K 2)) M))) in K * [misc]taylor: Taking taylor expansion of (cos (- (* (+ m n) (/ K 2)) M)) in K * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- M)))) into (* 3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- M))))) into (pow (cos (- M)) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- M)) 3)) into (log (pow (cos (- M)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- M)) 3))) into (* 1/3 (log (pow (cos (- M)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- M)) 3)))) into (pow (pow (cos (- M)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) in n * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) in n * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ m n) (/ K 2)) M))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ m n) (/ K 2)) M)))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ m n) (/ K 2)) M))) in n * [misc]taylor: Taking taylor expansion of (cos (- (* (+ m n) (/ K 2)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m (* 1/2 K)) 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]backup-simplify: Simplify (* (cos (- (* 1/2 (* m K)) M)) 1) into (cos (- (* 1/2 (* m K)) M)) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (* m K)) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (* m K)) M)) 0) into (cos (- (* 1/2 (* m K)) M)) * [misc]backup-simplify: Simplify (log (cos (- (* 1/2 (* m K)) M))) into (log (cos (- (* 1/2 (* m K)) M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (* 1/2 (* m K)) M)))) into (* 3 (log (cos (- (* 1/2 (* m K)) M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (* 1/2 (* m K)) M))))) into (pow (cos (- (* 1/2 (* m K)) M)) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- (* 1/2 (* m K)) M)) 3)) into (log (pow (cos (- (* 1/2 (* m K)) M)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- (* 1/2 (* m K)) M)) 3))) into (* 1/3 (log (pow (cos (- (* 1/2 (* m K)) M)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- (* 1/2 (* m K)) M)) 3)))) into (pow (pow (cos (- (* 1/2 (* m K)) M)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) in m * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) in m * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ m n) (/ K 2)) M))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ m n) (/ K 2)) M)))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ m n) (/ K 2)) M))) in m * [misc]taylor: Taking taylor expansion of (cos (- (* (+ m n) (/ K 2)) M)) in m * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n (* 1/2 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]backup-simplify: Simplify (log (cos (- (* 1/2 (* n K)) M))) into (log (cos (- (* 1/2 (* n K)) M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (* 1/2 (* n K)) M)))) into (* 3 (log (cos (- (* 1/2 (* n K)) M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (* 1/2 (* n K)) M))))) into (pow (cos (- (* 1/2 (* n K)) M)) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- (* 1/2 (* n K)) M)) 3)) into (log (pow (cos (- (* 1/2 (* n K)) M)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- (* 1/2 (* n K)) M)) 3))) into (* 1/3 (log (pow (cos (- (* 1/2 (* n K)) M)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- (* 1/2 (* n K)) M)) 3)))) into (pow (pow (cos (- (* 1/2 (* n K)) M)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) in m * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) in m * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ m n) (/ K 2)) M))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ m n) (/ K 2)) M)))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ m n) (/ K 2)) M))) in m * [misc]taylor: Taking taylor expansion of (cos (- (* (+ m n) (/ K 2)) M)) in m * [misc]taylor: Taking taylor expansion of (- (* (+ m n) (/ K 2)) M) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) (/ K 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 (/ K 2) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n (* 1/2 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]backup-simplify: Simplify (log (cos (- (* 1/2 (* n K)) M))) into (log (cos (- (* 1/2 (* n K)) M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (* 1/2 (* n K)) M)))) into (* 3 (log (cos (- (* 1/2 (* n K)) M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (* 1/2 (* n K)) M))))) into (pow (cos (- (* 1/2 (* n K)) M)) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- (* 1/2 (* n K)) M)) 3)) into (log (pow (cos (- (* 1/2 (* n K)) M)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- (* 1/2 (* n K)) M)) 3))) into (* 1/3 (log (pow (cos (- (* 1/2 (* n K)) M)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- (* 1/2 (* n K)) M)) 3)))) into (pow (pow (cos (- (* 1/2 (* n K)) M)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (cos (- (* 1/2 (* n K)) M)) 3) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* 1/2 (* n K)) M)) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* 1/2 (* n K)) M)) 3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* 1/2 (* n K)) M)) 3)) in n * [misc]taylor: Taking taylor expansion of (pow (cos (- (* 1/2 (* n K)) M)) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* 1/2 (* n K)) M))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* 1/2 (* n K)) M)))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* 1/2 (* n K)) M))) in n * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- M)))) into (* 3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- M))))) into (pow (cos (- M)) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- M)) 3)) into (log (pow (cos (- M)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- M)) 3))) into (* 1/3 (log (pow (cos (- M)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- M)) 3)))) into (pow (pow (cos (- M)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (cos (- M)) 3) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- M)) 3)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- M)) 3))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- M)) 3)) in K * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- M)))) into (* 3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- M))))) into (pow (cos (- M)) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- M)) 3)) into (log (pow (cos (- M)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- M)) 3))) into (* 1/3 (log (pow (cos (- M)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- M)) 3)))) into (pow (pow (cos (- M)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (cos (- M)) 3) 1/3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- M)) 3)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- M)) 3))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- M)) 3)) in M * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- M))))) in M * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- M)))) in M * [misc]taylor: Taking taylor expansion of 3 in M * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in M * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -3/2) 1)) (pow 1 1)))) 2) into -3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (+ (* 0 0) (* 0 0))) into -1/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (* n K)) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 (* 1/2 K))) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)))) 1)) (pow (cos (- (* 1/2 (* n K)) M)) 1)))) 1) into (* -1/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) (* 0 (log (cos (- (* 1/2 (* n K)) M))))) into (- (* 3/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (* 1/2 (* n K)) M))))) (+ (* (/ (pow (- (* 3/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) 1) 1)))) into (* -3/2 (* (sin (- (* 1/2 (* n K)) M)) (* (pow (cos (- (* 1/2 (* n K)) M)) 2) K))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -3/2 (* (sin (- (* 1/2 (* n K)) M)) (* (pow (cos (- (* 1/2 (* n K)) M)) 2) K)))) 1)) (pow (pow (cos (- (* 1/2 (* n K)) M)) 3) 1)))) 1) into (* -3/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) (* 0 (log (pow (cos (- (* 1/2 (* n K)) M)) 3)))) into (- (* 1/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (- (* 1/2 (* n K)) M)) 3)))) (+ (* (/ (pow (- (* 1/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) 1) 1)))) into (* -1/2 (* (sin (- (* 1/2 (* n K)) M)) K)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* (sin (- (* 1/2 (* n K)) M)) K)) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- (* 1/2 (* n K)) M)) K) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) K) into (* (sin (- M)) K) * [misc]backup-simplify: Simplify (* -1/2 (* (sin (- M)) K)) into (* -1/2 (* (sin (- M)) K)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* (sin (- M)) K)) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) K) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (- M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) K))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (- M)) K)))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (* (sin (- M)) K)))) 1)) (pow (cos (- M)) 1)))) 1) into (* -1/2 (/ (* (sin (- M)) K) (cos (- M)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (/ (* (sin (- M)) K) (cos (- M))))) (* 0 (log (cos (- M))))) into (- (* 3/2 (/ (* (sin (- M)) K) (cos (- M))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- M))))) (+ (* (/ (pow (- (* 3/2 (/ (* (sin (- M)) K) (cos (- M))))) 1) 1)))) into (* -3/2 (* (pow (cos (- M)) 2) (* (sin (- M)) K))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -3/2 (* (pow (cos (- M)) 2) (* (sin (- M)) K)))) 1)) (pow (pow (cos (- M)) 3) 1)))) 1) into (* -3/2 (/ (* (sin (- M)) K) (cos (- M)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3/2 (/ (* (sin (- M)) K) (cos (- M))))) (* 0 (log (pow (cos (- M)) 3)))) into (- (* 1/2 (/ (* (sin (- M)) K) (cos (- M))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (- M)) 3)))) (+ (* (/ (pow (- (* 1/2 (/ (* (sin (- M)) K) (cos (- M))))) 1) 1)))) into (* -1/2 (* (sin (- M)) K)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* (sin (- M)) K)) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) K) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (- M))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (- M)) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (- M)) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (- M)) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (* n K)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (* n K)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) 0) into (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)))) 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2))))) 1)) (pow (cos (- (* 1/2 (* n K)) M)) 1)))) 2) into (* -1/2 (+ (* 1/4 (pow K 2)) (* 1/4 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (* 1/4 (pow K 2)) (* 1/4 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2)))))) (+ (* 0 (* -1/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) (* 0 (log (cos (- (* 1/2 (* n K)) M)))))) into (- (+ (* 3/8 (pow K 2)) (* 3/8 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (* 1/2 (* n K)) M))))) (+ (* (/ (pow (- (* 3/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) 2) 2)) (* (/ (pow (- (+ (* 3/8 (pow K 2)) (* 3/8 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))))) 1) 1)))) into (* (- (* 3/4 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))) (* 3/8 (pow K 2))) (pow (cos (- (* 1/2 (* n K)) M)) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -3/2 (* (sin (- (* 1/2 (* n K)) M)) (* (pow (cos (- (* 1/2 (* n K)) M)) 2) K)))) 2)) (pow (pow (cos (- (* 1/2 (* n K)) M)) 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- (* 3/4 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))) (* 3/8 (pow K 2))) (pow (cos (- (* 1/2 (* n K)) M)) 3))) 1)) (pow (pow (cos (- (* 1/2 (* n K)) M)) 3) 1)))) 2) into (* -1/2 (+ (* 3/4 (pow K 2)) (* 3/4 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 3/4 (pow K 2)) (* 3/4 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2)))))) (+ (* 0 (* -3/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) (* 0 (log (pow (cos (- (* 1/2 (* n K)) M)) 3))))) into (- (+ (* 1/8 (pow K 2)) (* 1/8 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (- (* 1/2 (* n K)) M)) 3)))) (+ (* (/ (pow (- (* 1/2 (/ (* (sin (- (* 1/2 (* n K)) M)) K) (cos (- (* 1/2 (* n K)) M))))) 2) 2)) (* (/ (pow (- (+ (* 1/8 (pow K 2)) (* 1/8 (/ (* (pow (sin (- (* 1/2 (* n K)) M)) 2) (pow K 2)) (pow (cos (- (* 1/2 (* n K)) M)) 2))))) 1) 1)))) into (* -1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2))) * [misc]taylor: Taking taylor expansion of (* -1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2))) in n * [misc]taylor: Taking taylor expansion of -1/8 in n * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log K))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log K)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (* 2 (log K)) into (* 2 (log K)) * [misc]backup-simplify: Simplify (exp (* 2 (log K))) into (pow K 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow K 2)) into (* (cos (- M)) (pow K 2)) * [misc]backup-simplify: Simplify (* -1/8 (* (cos (- M)) (pow K 2))) into (* -1/8 (* (cos (- M)) (pow K 2))) * [misc]taylor: Taking taylor expansion of (* -1/8 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of -1/8 in K * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos (- M)) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (- M)) K))) into (* 1/2 (* (cos (- M)) K)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* (* 1/2 (* (cos (- M)) K)) K)) into (* 1/2 (* (cos (- M)) (pow K 2))) * [misc]backup-simplify: Simplify (+ (* -1/2 (* 1/2 (* (cos (- M)) (pow K 2)))) (* 0 (* (sin (- M)) K))) into (- (* 1/4 (* (cos (- M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (cos (- M)) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (- M)) (pow K 2)))) 0) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (* (sin (- M)) K)))) 2)) (pow (cos (- M)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (cos (- M)) (pow K 2))))) 1)) (pow (cos (- M)) 1)))) 2) into (* -1/2 (+ (* 1/4 (pow K 2)) (* 1/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (* 1/4 (pow K 2)) (* 1/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2)))))) (+ (* 0 (* -1/2 (/ (* (sin (- M)) K) (cos (- M))))) (* 0 (log (cos (- M)))))) into (- (+ (* 3/8 (pow K 2)) (* 3/8 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- M))))) (+ (* (/ (pow (- (* 3/2 (/ (* (sin (- M)) K) (cos (- M))))) 2) 2)) (* (/ (pow (- (+ (* 3/8 (pow K 2)) (* 3/8 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))))) 1) 1)))) into (* (pow (cos (- M)) 3) (- (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) (* 3/8 (pow K 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -3/2 (* (pow (cos (- M)) 2) (* (sin (- M)) K)))) 2)) (pow (pow (cos (- M)) 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* (pow (cos (- M)) 3) (- (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))) (* 3/8 (pow K 2))))) 1)) (pow (pow (cos (- M)) 3) 1)))) 2) into (* -1/2 (+ (* 3/4 (pow K 2)) (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 3/4 (pow K 2)) (* 3/4 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2)))))) (+ (* 0 (* -3/2 (/ (* (sin (- M)) K) (cos (- M))))) (* 0 (log (pow (cos (- M)) 3))))) into (- (+ (* 1/8 (pow K 2)) (* 1/8 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (- M)) 3)))) (+ (* (/ (pow (- (* 1/2 (/ (* (sin (- M)) K) (cos (- M))))) 2) 2)) (* (/ (pow (- (+ (* 1/8 (pow K 2)) (* 1/8 (/ (* (pow (sin (- M)) 2) (pow K 2)) (pow (cos (- M)) 2))))) 1) 1)))) into (* -1/8 (* (cos (- M)) (pow K 2))) * [misc]taylor: Taking taylor expansion of (* -1/8 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of -1/8 in K * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* -1/2 (sin (- M))) (* 0 0)) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* -1/2 (sin (- M))) (* 0 0)) into (- (* 1/2 (sin (- M)))) * [misc]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 (cbrt (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)) in M * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)) in M * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))))) in M * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of 3 in M * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [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 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 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) into (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) into (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) into (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)) in K * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)) in K * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (+ (/ 1 n) (/ 1 m)) 1/2) into (* 1/2 (+ (/ 1 n) (/ 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 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) into (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) into (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) into (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)) in n * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)) in n * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) into (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) into (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) into (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)) in m * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)) in m * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [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 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) into (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) into (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) into (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)) in m * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3)) in m * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 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 (/ (/ 1 K) 2) 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 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [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 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 m) (/ 1 n)) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) into (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) into (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) into (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) in n * [misc]taylor: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) into (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) into (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) into (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) in K * [misc]taylor: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) in K * [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]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) into (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) into (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) into (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) in M * [misc]taylor: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) in M * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of 3 in M * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) into (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) into (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) into (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) into (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) into (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) into (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)) in M * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)) in M * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))))) in M * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of 3 in M * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [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 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 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) into (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) into (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) into (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)) in K * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)) in K * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 n) (/ 1 m))) -1/2) into (* 1/2 (+ (/ 1 n) (/ 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 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) into (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) into (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) into (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)) in n * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)) in n * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) into (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) into (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) into (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)) in m * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)) in m * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [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 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) into (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) into (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) into (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)) in m * [misc]taylor: Rewrote expression to (pow (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3)) in m * [misc]taylor: Taking taylor expansion of (pow (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 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 (/ (/ 1 (- K)) 2) 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 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [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 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1/2 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) into (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) into (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) into (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) in n * [misc]taylor: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in n * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) into (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) into (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) into (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) in K * [misc]taylor: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in K * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n 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 (+ (* 1/2 (/ 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]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 (+ 0 (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) into (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) into (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) into (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) in M * [misc]taylor: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) in M * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) in M * [misc]taylor: Taking taylor expansion of 3 in M * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) in M * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) into (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) * [misc]backup-simplify: Simplify (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) into (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) into (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) into (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) into (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) into (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 n) (* 1/2 m))) into (log (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) into (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 n) (* 1/2 m))))) into (pow (+ (* 1/2 n) (* 1/2 m)) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 m) M)) into (log (- (* 1/2 m) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 m) M))) into (* 2 (log (- (* 1/2 m) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 m) M)))) into (pow (- (* 1/2 m) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (* 1/2 n) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (* 1/2 n) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 n) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (log (- M)) into (log (- M)) * [misc]backup-simplify: Simplify (* 2 (log (- M))) into (* 2 (log (- M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- M)))) into (pow (- M) 2) * [misc]taylor: Taking taylor expansion of (pow (- M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (* 2 (+ (log M) (log -1))) into (* 2 (+ (log M) (log -1))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- (* 1/2 n) M) 1)))) 1) into (/ 1/2 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M)))) into (/ 1 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 1) 1)))) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- M) 1)))) 1) into (/ -1/2 M) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/2 M)) (* 0 (log (- M)))) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- M)))) (+ (* (/ (pow (- (/ 1 M)) 1) 1)))) into (* -1 M) * [misc]taylor: Taking taylor expansion of (* -1 M) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log M) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log M) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (- (* 1/2 n) M) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 n) M) 1)))) 2) into (/ -1/8 (pow (- (* 1/2 n) M) 2)) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/8 (pow (- (* 1/2 n) M) 2))) (+ (* 0 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M))))) into (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) 1) 1)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n m))) (+ (* 1/4 (pow (* 1 (* 1 m)) 2)) (exp (* 2 (+ (log M) (log -1)))))) into (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m)))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) (log -1)) into (- (log -1) (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log M))) into (* 2 (- (log -1) (log M))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log M)))) into (exp (* 2 (- (log -1) (log M)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 1/2)) into (- (log 1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log n))) into (* 2 (- (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log n)))) into (exp (* 2 (- (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 1)) (pow 1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* (- (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m)))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (* 4 (/ 1 M))) 0) (* (* 4 (/ 1 (pow M 2))) (exp (* 2 (- (log 1/2) (log m))))))) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (- (* 4 (/ 1 M))) 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) 0) into (- (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log M))) into (* -2 (log M)) * [misc]backup-simplify: Simplify (exp (* -2 (log M))) into (pow M -2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1/2)) into (- (log -1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log n))) into (* 2 (- (log -1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log n)))) into (exp (* 2 (- (log -1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 1)) (pow -1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 4 (/ 1 M)))) (* 0 2)) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) (* 4 (/ 1 (pow M 2)))) (+ (* 0 (- (* 4 (/ 1 M)))) (* 0 1))) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) 0) (+ (* 0 (- (* 4 (/ 1 M)))) (* 0 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow 1 3)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt 1) (exp l)) (exp (fabs (- m n)))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (/ (cos (+ (/ (/ 1/2 K) m) (+ (/ (/ 1/2 K) n) (/ 1 M)))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt 1) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ n m) 2) M)) (- (- (/ (+ n m) 2) M))) (/ (exp (- l (fabs (- m n)))) (cbrt 1))) * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (/ (cos (+ (/ (/ 1/2 K) m) (+ (/ (/ 1/2 K) n) (/ 1 M)))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) 3) 1/3) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) 3) 1/3) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (/ (cos (+ (/ (/ 1/2 K) m) (+ (/ 1 M) (/ (/ 1/2 K) n)))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) (exp (- (- (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (/ (/ (cos (- (/ (+ n m) (/ 2 K)) M)) (exp (- l (fabs (- m n))))) (* (exp (* (* M -1) (* M -1))) (pow (exp m) (+ (* 1/2 n) (* m 1/4))))) * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) (exp (- (- (exp (* 2 (- (log 1/2) (log m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ n m) (/ 2 K)) M)) (exp (- l (- (fabs (- m n)) (* (/ 1/2 m) (/ 1/2 m)))))) * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) (exp (- (- (exp (* 2 (- (log -1/2) (log m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ n m) (/ 2 K)) M)) (exp (- l (- (fabs (- m n)) (* (/ -1/2 m) (/ -1/2 m)))))) * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* (+ m n) (/ K 2))) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (+ n m) (/ K 2)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (+ n m) (/ K 2)))) * [enter]simplify: Simplifying (* (sin (* (+ m n) (/ K 2))) (sin (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (/ (+ n m) (/ 2 K)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (/ (+ n m) (/ 2 K)))) * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* (+ m n) (/ K 2))) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (+ n m) (/ K 2)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (+ n m) (/ K 2)))) * [enter]simplify: Simplifying (* (sin (* (+ m n) (/ K 2))) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (sin M) (sin (* (+ n m) (/ K 2)))) * [exit]simplify: Simplified to (* (sin M) (sin (* (+ n m) (/ K 2)))) * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (* (+ m n) (/ K 2)) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (log (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (* (+ m n) (/ K 2)) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (exp (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (* (+ n m) (/ K 2)) M))) (cbrt (cos (- (* (+ n m) (/ K 2)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (* (+ n m) (/ K 2)) M))) (cbrt (cos (- (* (+ n m) (/ K 2)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (* (+ m n) (/ K 2)) M)) (cos (- (* (+ m n) (/ K 2)) M))) (cos (- (* (+ m n) (/ K 2)) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (pow (cos (- (/ (+ n m) (/ 2 K)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (/ (+ n m) (/ 2 K)) M)) 3) * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cos (- (* (+ m n) (/ K 2)) M))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* 3 (log (cos (- (/ (+ n m) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* 3 (log (cos (- (/ (+ n m) (/ 2 K)) M)))) * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cos (- (* (+ m n) (/ K 2)) M))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* 3 (log (cos (- (/ (+ n m) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* 3 (log (cos (- (/ (+ n m) (/ 2 K)) M)))) * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) 3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M))) * [enter]simplify: Simplifying (pow (cbrt (cos (- (* (+ m n) (/ K 2)) M))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (cos (- (* (+ n m) (/ K 2)) M)) * [exit]simplify: Simplified to (cos (- (* (+ n m) (/ K 2)) M)) * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (cos (- (* (+ m n) (/ K 2)) M))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (sqrt (cos (- (* (+ n m) (/ K 2)) M)))) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (sqrt (cos (- (* (+ n m) (/ K 2)) M)))) * [enter]simplify: Simplifying (pow (sqrt (cos (- (* (+ m n) (/ K 2)) M))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (sqrt (cos (- (* (+ n m) (/ K 2)) M)))) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (sqrt (cos (- (* (+ n m) (/ K 2)) M)))) * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (pow (cos (- (/ (+ n m) (/ 2 K)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (/ (+ n m) (/ 2 K)) M)) 3) * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* (+ m n) (/ K 2)) M)) (cos (- (* (+ m n) (/ K 2)) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (log (cos (- (* (+ n m) (/ K 2)) M))) 3) * [exit]simplify: Simplified to (* (log (cos (- (* (+ n m) (/ K 2)) M))) 3) * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (exp (pow (cos (- (* (+ n m) (/ K 2)) M)) 3)) * [exit]simplify: Simplified to (exp (pow (cos (- (* (+ n m) (/ K 2)) M)) 3)) * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M))) * [enter]simplify: Simplifying (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cos (- (/ (+ n m) (/ 2 K)) M)) * [exit]simplify: Simplified to (cos (- (/ (+ n m) (/ 2 K)) M)) * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (pow (pow (cos (- (* (+ n m) (/ K 2)) M)) 3) 3) * [exit]simplify: Simplified to (pow (pow (cos (- (* (+ n m) (/ K 2)) M)) 3) 3) * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) 3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M))) * [enter]simplify: Simplifying (pow (cbrt (cos (- (* (+ m n) (/ K 2)) M))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (cos (- (* (+ n m) (/ K 2)) M)) * [exit]simplify: Simplified to (cos (- (* (+ n m) (/ K 2)) M)) * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (cos (- (* (+ m n) (/ K 2)) M))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (sqrt (cos (- (* (+ n m) (/ K 2)) M)))) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (sqrt (cos (- (* (+ n m) (/ K 2)) M)))) * [enter]simplify: Simplifying (pow (sqrt (cos (- (* (+ m n) (/ K 2)) M))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (sqrt (cos (- (* (+ n m) (/ K 2)) M)))) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (sqrt (cos (- (* (+ n m) (/ K 2)) M)))) * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (pow (cos (- (/ (+ n m) (/ 2 K)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (/ (+ n m) (/ 2 K)) M)) 3) * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* (+ m n) (/ K 2)) M)) (cos (- (* (+ m n) (/ K 2)) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (sqrt (pow (cos (- (* (+ n m) (/ K 2)) M)) 3)) * [exit]simplify: Simplified to (sqrt (pow (cos (- (* (+ n m) (/ K 2)) M)) 3)) * [enter]simplify: Simplifying (sqrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (sqrt (pow (cos (- (* (+ n m) (/ K 2)) M)) 3)) * [exit]simplify: Simplified to (sqrt (pow (cos (- (* (+ n m) (/ K 2)) M)) 3)) * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (log (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (exp (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (* (+ n m) (/ K 2)) M))) (cbrt (cos (- (* (+ n m) (/ K 2)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (* (+ n m) (/ K 2)) M))) (cbrt (cos (- (* (+ n m) (/ K 2)) M)))) * [enter]simplify: Simplifying (cbrt (pow (cbrt (cos (- (* (+ m n) (/ K 2)) M))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (cos (- (* (+ m n) (/ K 2)) M))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * [enter]simplify: Simplifying (cbrt (pow (sqrt (cos (- (* (+ m n) (/ K 2)) M))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cos (- (/ (+ n m) (/ 2 K)) M)) * [exit]simplify: Simplified to (cos (- (/ (+ n m) (/ 2 K)) M)) * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cos (- (* (+ m n) (/ K 2)) M)) (cos (- (* (+ m n) (/ K 2)) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M)))) * [exit]simplify: Simplified to (cbrt (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M)))) * [exit]simplify: Simplified to (cbrt (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M)))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (cos (- (* (+ m n) (/ K 2)) M))) (cbrt (cos (- (* (+ m n) (/ K 2)) M)))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (* (+ n m) (/ K 2)) M))) (cbrt (cos (- (* (+ n m) (/ K 2)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (* (+ n m) (/ K 2)) M))) (cbrt (cos (- (* (+ n m) (/ K 2)) M)))) * [enter]simplify: Simplifying (cbrt (pow (cbrt (cos (- (* (+ m n) (/ K 2)) M))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (cos (- (* (+ m n) (/ K 2)) M))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * [enter]simplify: Simplifying (cbrt (pow (sqrt (cos (- (* (+ m n) (/ K 2)) M))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cos (- (/ (+ n m) (/ 2 K)) M)) * [exit]simplify: Simplified to (cos (- (/ (+ n m) (/ 2 K)) M)) * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * [enter]simplify: Simplifying (cbrt (* (cos (- (* (+ m n) (/ K 2)) M)) (cos (- (* (+ m n) (/ K 2)) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M)))) * [exit]simplify: Simplified to (cbrt (* (cos (- (* (+ n m) (/ K 2)) M)) (cos (- (* (+ n m) (/ K 2)) M)))) * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (cos (- (* (+ n m) (/ K 2)) M)) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (cos (- (* (+ n m) (/ K 2)) M)) 3))) * [enter]simplify: Simplifying (cbrt (sqrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (cos (- (* (+ n m) (/ K 2)) M)) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (cos (- (* (+ n m) (/ K 2)) M)) 3))) * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cos (- (/ (+ n m) (/ 2 K)) M)) * [exit]simplify: Simplified to (cos (- (/ (+ n m) (/ 2 K)) M)) * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) (cbrt (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ n m) (/ 2 K)) M))) (cbrt (cos (- (/ (+ n m) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ n m) (/ 2 K)) M))) (cbrt (cos (- (/ (+ n m) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3)) (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (pow (cos (- (* (+ n m) (/ K 2)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (* (+ n m) (/ K 2)) M)) 3) * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cbrt (pow (cos (- (* (+ m n) (/ K 2)) M)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ n m) (/ K 2)) M))) * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) * [enter]simplify: Simplifying (pow (cbrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (- (/ (+ m n) 2) M) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [enter]simplify: Simplifying (cbrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (- (/ (+ m n) 2) M) 2) (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 3) * [exit]simplify: Simplified to (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 3) * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in M * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ 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 (* (cbrt (+ m n)) (cbrt (+ m n))) in M * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in M * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in M * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in M * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ n m) 1/3) (pow (+ n m) 1/3)) into (pow (pow (+ n m) 2) 1/3) * [misc]backup-simplify: Simplify (* K (pow (pow (+ n m) 2) 1/3)) into (* (pow (pow (+ n m) 2) 1/3) K) * [misc]backup-simplify: Simplify (* (* (pow (pow (+ n m) 2) 1/3) K) (pow (+ n m) 1/3)) 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 (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in n * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ 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 (* (cbrt (+ m n)) (cbrt (+ m n))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow m 1/3) (pow m 1/3)) into (pow (pow m 2) 1/3) * [misc]backup-simplify: Simplify (* K (pow (pow m 2) 1/3)) into (* K (pow (pow m 2) 1/3)) * [misc]backup-simplify: Simplify (* (* K (pow (pow m 2) 1/3)) (pow m 1/3)) 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 (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in m * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ 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 (* (cbrt (+ m n)) (cbrt (+ m n))) in m * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow n 1/3) (pow n 1/3)) into (pow (pow n 2) 1/3) * [misc]backup-simplify: Simplify (* K (pow (pow n 2) 1/3)) into (* (pow (pow n 2) 1/3) K) * [misc]backup-simplify: Simplify (* (* (pow (pow n 2) 1/3) K) (pow n 1/3)) 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 (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in K * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ 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 (* (cbrt (+ m n)) (cbrt (+ m n))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) 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]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) 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]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) 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]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ n m) 1/3) (pow (+ n m) 1/3)) into (pow (pow (+ n m) 2) 1/3) * [misc]backup-simplify: Simplify (* 0 (pow (pow (+ n m) 2) 1/3)) into 0 * [misc]backup-simplify: Simplify (* 0 (pow (+ n m) 1/3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ n m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ n m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ n m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ n m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ n m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ n m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ n m) 1/3) 0) (* 0 (pow (+ n m) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (pow (+ n m) 2) 1/3))) into (pow (pow (+ n m) 2) 1/3) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (pow (pow (+ n m) 2) 1/3) (pow (+ n m) 1/3))) 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 (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in K * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ 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 (* (cbrt (+ m n)) (cbrt (+ m n))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) 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]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) 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]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) 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]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ n m) 1/3) (pow (+ n m) 1/3)) into (pow (pow (+ n m) 2) 1/3) * [misc]backup-simplify: Simplify (* 0 (pow (pow (+ n m) 2) 1/3)) into 0 * [misc]backup-simplify: Simplify (* 0 (pow (+ n m) 1/3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ n m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ n m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ n m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ n m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ n m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ n m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ n m) 1/3) 0) (* 0 (pow (+ n m) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (pow (+ n m) 2) 1/3))) into (pow (pow (+ n m) 2) 1/3) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (pow (pow (+ n m) 2) 1/3) (pow (+ n m) 1/3))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ n m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ n m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ n m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ n m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ n m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ n m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ n m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ n m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ n m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ n m) 1/3) 0) (+ (* 0 0) (* 0 (pow (+ n m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (pow (+ n m) 2) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (pow (pow (+ n m) 2) 1/3) 0) (* 0 (pow (+ n m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 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 (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ (/ 1 n) (/ 1 m)) 1/3) (pow (+ (/ 1 n) (/ 1 m)) 1/3)) into (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) * [misc]backup-simplify: Simplify (* (/ 1 K) (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) into (* (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) (/ 1 K)) * [misc]backup-simplify: Simplify (* (* (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) (/ 1 K)) (pow (+ (/ 1 n) (/ 1 m)) 1/3)) 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) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) into (cos (- (* 1/2 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K)) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 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 (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow n -1/3) (pow n -1/3)) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (* (/ 1 K) (pow (/ 1 (pow n 2)) 1/3)) into (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 K)) * [misc]backup-simplify: Simplify (* (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 K)) (pow n -1/3)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (/ (/ 1 (* n K)) 2) into (/ 1/2 (* n 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 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* n K)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* n K))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* n K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* n K))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* n K))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* n K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 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 (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow m -1/3) (pow m -1/3)) into (pow (/ 1 (pow m 2)) 1/3) * [misc]backup-simplify: Simplify (* (/ 1 K) (pow (/ 1 (pow m 2)) 1/3)) into (* (/ 1 K) (pow (/ 1 (pow m 2)) 1/3)) * [misc]backup-simplify: Simplify (* (* (/ 1 K) (pow (/ 1 (pow m 2)) 1/3)) (pow m -1/3)) into (/ 1 (* K m)) * [misc]backup-simplify: Simplify (/ (/ 1 (* K m)) 2) into (/ 1/2 (* K 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 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* K m)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* K m))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 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 (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ (/ 1 n) (/ 1 m)) 1/3) (pow (+ (/ 1 n) (/ 1 m)) 1/3)) into (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) * [misc]backup-simplify: Simplify (* 1 (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) into (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) (pow (+ (/ 1 n) (/ 1 m)) 1/3)) 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) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) into (cos (- (* 1/2 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K)) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 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 (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ (/ 1 n) (/ 1 m)) 1/3) (pow (+ (/ 1 n) (/ 1 m)) 1/3)) into (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) * [misc]backup-simplify: Simplify (* 1 (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) into (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) (pow (+ (/ 1 n) (/ 1 m)) 1/3)) 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) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) into (cos (- (* 1/2 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K)) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K)) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K)) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) 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 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K) in m * [misc]taylor: Taking taylor expansion of (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (+ (/ 1 n) (/ 1 m)))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]backup-simplify: Simplify (log (pow m -1/3)) into (log (pow m -1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow m -1/3))) into (* 3 (log (pow m -1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow m -1/3)))) into (pow (pow m -1/3) 3) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (pow (pow m -1/3) 3) K) into (/ 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 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 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* m K)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 1) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (* 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 (* m K))) (/ 1 M))) 0) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) 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 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 K))) into (/ 1/2 (* m K)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* m K)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 1) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (* 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 (* m K))) (/ 1 M))) 0) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) 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 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 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m 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]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3)))) 1)) (pow (pow m -1/3) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (* 0 (log (pow m -1/3)))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow m -1/3)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 (* n m)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* n m)) K) (+ (* (/ 1 (* m K)) (/ 0 K)))) into (/ 1 (* n (* m K))) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (* n (* m K)))) (* 0 (/ 1 (* m K)))) into (* 1/2 (/ 1 (* n (* m K)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (* n (* m K)))) 0) into (* 1/2 (/ 1 (* n (* m K)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 (/ 1 (* n (* m K)))) 1) 1))) into (* 1/2 (/ 1 (* n (* m K)))) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* 1/2 (/ 1 (* n (* m K))))) (* 0 0)) into (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m))))) into (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m)))))) into (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* 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 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m))) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) 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 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 K))) into (/ 1/2 (* m K)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* m K)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (* K (* n m)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [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 (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 1) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* 0 m) into 0 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 m)) into m * [misc]backup-simplify: Simplify (+ (* K m) (* 0 0)) into (* K m) * [misc]backup-simplify: Simplify (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K m)) into (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m K)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 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 (- (+ (* (/ 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 (+ (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (+ (* 0 m) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* K m)) (+ (* (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m K)) (/ 0 (* K m))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m K)))) 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 (- (* 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 (- (+ (* (/ 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 (* 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]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 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in M * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 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 (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) (pow (- (+ (/ 1 n) (/ 1 m))) 1/3)) into (pow (* (pow (+ (/ 1 n) (/ 1 m)) 2) (pow -1 2)) 1/3) * [misc]backup-simplify: Simplify (* (/ -1 K) (pow (* (pow (+ (/ 1 n) (/ 1 m)) 2) (pow -1 2)) 1/3)) into (* -1 (* (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) (/ 1 K))) * [misc]backup-simplify: Simplify (* (* -1 (* (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) (/ 1 K))) (pow (- (+ (/ 1 n) (/ 1 m))) 1/3)) into (* -1 (* (/ (+ (/ 1 n) (/ 1 m)) K) (pow -1 1/3))) * [misc]backup-simplify: Simplify (/ (* -1 (* (/ (+ (/ 1 n) (/ 1 m)) K) (pow -1 1/3))) 2) into (* -1/2 (* (/ (+ (/ 1 n) (/ 1 m)) K) (pow -1 1/3))) * [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)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in n * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 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 (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (exp (* 1/3 (- (log -1) (log n))))) into (pow (exp (* 1/3 (- (log -1) (log n)))) 2) * [misc]backup-simplify: Simplify (* (/ -1 K) (pow (exp (* 1/3 (- (log -1) (log n)))) 2)) into (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) K)) * [misc]backup-simplify: Simplify (* (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) K)) (exp (* 1/3 (- (log -1) (log n))))) into (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)) * [misc]backup-simplify: Simplify (/ (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)) 2) into (* -1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) 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 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in m * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 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 (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (exp (* 1/3 (- (log -1) (log m))))) into (pow (exp (* 1/3 (- (log -1) (log m)))) 2) * [misc]backup-simplify: Simplify (* (/ -1 K) (pow (exp (* 1/3 (- (log -1) (log m)))) 2)) into (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 2) K)) * [misc]backup-simplify: Simplify (* (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 2) K)) (exp (* 1/3 (- (log -1) (log m))))) into (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)) * [misc]backup-simplify: Simplify (/ (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)) 2) into (* -1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) 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 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 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 (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) (pow (- (+ (/ 1 n) (/ 1 m))) 1/3)) into (pow (* (pow (+ (/ 1 n) (/ 1 m)) 2) (pow -1 2)) 1/3) * [misc]backup-simplify: Simplify (* -1 (pow (* (pow (+ (/ 1 n) (/ 1 m)) 2) (pow -1 2)) 1/3)) into (* -1 (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) * [misc]backup-simplify: Simplify (* (* -1 (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) (pow (- (+ (/ 1 n) (/ 1 m))) 1/3)) into (* -1 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) * [misc]backup-simplify: Simplify (/ (* -1 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) 2) into (* -1/2 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) * [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)) (pow -1 1/3))) 0) into (- (+ (* 1/2 (* (/ 1 n) (pow -1 1/3))) (* 1/2 (* (pow -1 1/3) (/ 1 m))))) * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 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 (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) (pow (- (+ (/ 1 n) (/ 1 m))) 1/3)) into (pow (* (pow (+ (/ 1 n) (/ 1 m)) 2) (pow -1 2)) 1/3) * [misc]backup-simplify: Simplify (* -1 (pow (* (pow (+ (/ 1 n) (/ 1 m)) 2) (pow -1 2)) 1/3)) into (* -1 (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) * [misc]backup-simplify: Simplify (* (* -1 (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) (pow (- (+ (/ 1 n) (/ 1 m))) 1/3)) into (* -1 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) * [misc]backup-simplify: Simplify (/ (* -1 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) 2) into (* -1/2 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) * [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)) (pow -1 1/3))) 0) into (- (+ (* 1/2 (* (/ 1 n) (pow -1 1/3))) (* 1/2 (* (pow -1 1/3) (/ 1 m))))) * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) K)))) in m * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) 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 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) 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 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) K) in m * [misc]taylor: Taking taylor expansion of (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (- (+ (/ 1 n) (/ 1 m))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (- (+ (/ 1 n) (/ 1 m)))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (- (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log m))))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log -1) (log m)))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log m))) K) into (/ (exp (- (log -1) (log m))) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (- (log -1) (log m))) K)) into (* 1/2 (/ (exp (- (log -1) (log m))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (- (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 1) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) 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 (/ (exp (- (log -1) (log 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 (/ (exp (- (log -1) (log m))) K) in n * [misc]taylor: Taking taylor expansion of (exp (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log m))) K) into (/ (exp (- (log -1) (log m))) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (- (log -1) (log m))) K)) into (* 1/2 (/ (exp (- (log -1) (log m))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (- (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 1) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) in M * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) 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 (/ (exp (- (log -1) (log 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 (/ (exp (- (log -1) (log m))) K) in M * [misc]taylor: Taking taylor expansion of (exp (- (log -1) (log m))) in M * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log m))) K) into (/ (exp (- (log -1) (log m))) K) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) 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]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n))) 1)) (pow (exp (* 1/3 (- (log -1) (log m)))) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (* 0 (* 1/3 (- (log -1) (log m))))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (log -1) (log m))) n) * [misc]backup-simplify: Simplify (- (/ (/ (exp (- (log -1) (log m))) n) K) (+ (* (/ (exp (- (log -1) (log m))) K) (/ 0 K)))) into (/ (exp (- (log -1) (log m))) (* n K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (log -1) (log m))) (* n K))) (* 0 (/ (exp (- (log -1) (log m))) K))) into (* 1/2 (/ (exp (- (log -1) (log m))) (* n K))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K)))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K))))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K)))) 1) 1))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K)))) * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K))))) (* 0 0)) into (- (* 1/2 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K)))) * [misc]backup-simplify: Simplify (- (- (* 1/2 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K))))) into (* 1/2 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K)))) into (* 1/2 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* 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 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K)) in n * [misc]taylor: Taking taylor expansion of (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) in n * [misc]taylor: Taking taylor expansion of (exp (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) 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 (/ (exp (- (log -1) (log 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 (/ (exp (- (log -1) (log m))) K) in n * [misc]taylor: Taking taylor expansion of (exp (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log m))) K) into (/ (exp (- (log -1) (log m))) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (- (log -1) (log m))) K)) into (* 1/2 (/ (exp (- (log -1) (log m))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (- (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [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 (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 1) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) into (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) K) into (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) K) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (exp (- (log -1) (log m))) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (exp (- (log -1) (log m))) K))) 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 (+ (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log -1) (log m))) 0) (* 0 (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) K))) 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 (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (exp (- (log -1) (log m))) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (exp (- (log -1) (log m))) K))) 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 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 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]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 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ m n)) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (pow n 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log n))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (pow n 1/3) into (pow n 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log n))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow n -2/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log n)))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log n)) 0) into (- (* 5 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log n)))) into (* -5/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log n))) into (pow n -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow n -5/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow (* 1 m) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 m)) (pow n 1/3))) into (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) m))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow m 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (pow m -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log m))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log m)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* -1/3 (log m)) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]backup-simplify: Simplify (pow m -1/3) into (pow m -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 m) 1/3)) 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 (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log m))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) 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 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 2) 2)) (* (/ (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)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 m) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 m) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) 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 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow m -1/3) into (pow m -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (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 (- (+ (* -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 (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ m n)) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (pow n 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log n))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (pow n 1/3) into (pow n 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log n))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow n -2/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log n)))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log n)) 0) into (- (* 5 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log n)))) into (* -5/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log n))) into (pow n -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow n -5/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow (* 1 m) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 m)) (pow n 1/3))) into (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) m))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow m 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (pow m -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log m))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log m)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* -1/3 (log m)) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]backup-simplify: Simplify (pow m -1/3) into (pow m -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 m) 1/3)) 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 (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log m))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) 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 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 2) 2)) (* (/ (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)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 m) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 m) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) 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 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow m -1/3) into (pow m -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (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 (- (+ (* -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 (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ m n)) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (pow n 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log n))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (pow n 1/3) into (pow n 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log n))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow n -2/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log n)))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log n)) 0) into (- (* 5 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log n)))) into (* -5/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log n))) into (pow n -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow n -5/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow (* 1 m) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 m)) (pow n 1/3))) into (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) m))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow m 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (pow m -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log m))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log m)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* -1/3 (log m)) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]backup-simplify: Simplify (pow m -1/3) into (pow m -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 m) 1/3)) 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 (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log m))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) 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 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 2) 2)) (* (/ (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)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 m) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 m) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) 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 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow m -1/3) into (pow m -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (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 (- (+ (* -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 (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (cos (- (/ (/ 1/2 m) K) (/ 1 M))) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (cos (- (/ 1 M) (/ (- 1/2) (* K m)))) (exp (- l (fabs (- m n))))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) m))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow m 2))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (* (cbrt (/ 1 (* n n))) (* 1/3 m)) (cbrt n)) (/ (/ 2 K) (* (cbrt (+ m n)) (cbrt (+ m n))))) (+ (/ (* (* (* 1/9 m) m) (cbrt (/ 1 (pow n 5)))) (/ (/ 2 K) (* (cbrt (+ m n)) (cbrt (+ m n))))) M))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (pow m -1/3)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (* (pow m -1/3) (/ K 2)) (* (cbrt (+ m n)) (cbrt (+ m n)))) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (exp (* 1/3 (- (log -1) (log m))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (* (pow (exp 1/3) (- (log -1) (log m))) (/ K 2)) (* (cbrt (+ m n)) (cbrt (+ m n)))) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) m))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow m 2)))))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (* (* K (cbrt (+ m n))) (+ (cbrt n) (- (* (cbrt (/ (/ 1 n) n)) (* 1/3 m)) (* (* m (* m 1/9)) (cbrt (/ 1 (pow n 5))))))) (/ 2 (cbrt (+ m n)))) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (pow m -1/3))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (/ (cbrt (+ m n)) (/ (/ 2 K) (pow m -1/3))) (cbrt (+ m n))) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (exp (* 1/3 (- (log -1) (log m)))))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (/ (pow (exp 1/3) (- (log -1) (log m))) (/ (/ 2 K) (cbrt (+ m n)))) (cbrt (+ m n))) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) m))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow m 2)))) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (* (+ (- (* (cbrt (/ (/ 1 n) n)) (* m 1/3)) (* (* (* 1/9 m) m) (cbrt (/ 1 (pow n 5))))) (cbrt n)) (* K (cbrt (+ n m)))) (/ 2 (cbrt (+ n m)))) M)) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (pow m -1/3) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (* K (cbrt (+ m n))) (/ (/ 2 (pow m -1/3)) (cbrt (+ m n)))) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (exp (* 1/3 (- (log -1) (log m)))) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (/ (pow (exp 1/3) (- (log -1) (log m))) (/ (/ 2 K) (cbrt (+ n m)))) (cbrt (+ n m))) M)) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (72 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 (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (91 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: [ 14 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (cos M)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (70 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 (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (sin M)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (70 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 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (log (cos (- (/ (+ m n) (/ 2 K)) M))) * [exit]simplify: Simplified to (log (cos (- (/ (+ m n) (/ 2 K)) M))) * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (exp (cos (- (/ (+ m n) (/ 2 K)) M))) * [exit]simplify: Simplified to (exp (cos (- (/ (+ m n) (/ 2 K)) M))) * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) (cbrt (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (pow (cos (- (/ (+ m n) (/ 2 K)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (/ (+ m n) (/ 2 K)) M)) 3) * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (/ (+ m n) (/ 2 K)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (/ (+ m n) (/ 2 K)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (/ (+ m n) (/ 2 K)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (/ (+ m n) (/ 2 K)) M))) * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (+ n m))) * [exit]simplify: Simplified to (log (cbrt (+ n m))) * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ m n)) (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n m)) * [exit]simplify: Simplified to (cbrt (+ n m)) * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow m 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow n 3) (pow m 3))) * [exit]simplify: Simplified to (cbrt (+ (pow n 3) (pow m 3))) * [enter]simplify: Simplifying (cbrt (+ (* m m) (- (* n n) (* m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (* m m) (* (- n m) n))) * [exit]simplify: Simplified to (cbrt (+ (* m m) (* (- n m) n))) * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* m m) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (cbrt (* (- m n) (+ m n))) * [exit]simplify: Simplified to (cbrt (* (- m n) (+ m n))) * [enter]simplify: Simplifying (cbrt (- m n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (- m n)) * [exit]simplify: Simplified to (cbrt (- m n)) * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ m n))) (cbrt (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n m))) (cbrt (cbrt (+ n m)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n m))) (cbrt (cbrt (+ n m)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ m n)) (cbrt (+ m n))) (cbrt (+ m n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ n m) * [exit]simplify: Simplified to (+ n m) * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [enter]simplify: Simplifying (sqrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (+ n m))) * [exit]simplify: Simplified to (log (cbrt (+ n m))) * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ m n)) (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n m)) * [exit]simplify: Simplified to (cbrt (+ n m)) * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow m 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow n 3) (pow m 3))) * [exit]simplify: Simplified to (cbrt (+ (pow n 3) (pow m 3))) * [enter]simplify: Simplifying (cbrt (+ (* m m) (- (* n n) (* m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (* m m) (* (- n m) n))) * [exit]simplify: Simplified to (cbrt (+ (* m m) (* (- n m) n))) * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* m m) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (cbrt (* (- m n) (+ m n))) * [exit]simplify: Simplified to (cbrt (* (- m n) (+ m n))) * [enter]simplify: Simplifying (cbrt (- m n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (- m n)) * [exit]simplify: Simplified to (cbrt (- m n)) * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ m n))) (cbrt (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n m))) (cbrt (cbrt (+ n m)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n m))) (cbrt (cbrt (+ n m)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ m n)) (cbrt (+ m n))) (cbrt (+ m n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ n m) * [exit]simplify: Simplified to (+ n m) * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [enter]simplify: Simplifying (sqrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (+ n m))) * [exit]simplify: Simplified to (log (cbrt (+ n m))) * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ m n)) (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n m)) * [exit]simplify: Simplified to (cbrt (+ n m)) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow m 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow n 3) (pow m 3))) * [exit]simplify: Simplified to (cbrt (+ (pow n 3) (pow m 3))) * [enter]simplify: Simplifying (cbrt (+ (* m m) (- (* n n) (* m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (* m m) (* (- n m) n))) * [exit]simplify: Simplified to (cbrt (+ (* m m) (* (- n m) n))) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* m m) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (cbrt (* (- m n) (+ m n))) * [exit]simplify: Simplified to (cbrt (* (- m n) (+ m n))) * [enter]simplify: Simplifying (cbrt (- m n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (- m n)) * [exit]simplify: Simplified to (cbrt (- m n)) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ m n))) (cbrt (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n m))) (cbrt (cbrt (+ n m)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n m))) (cbrt (cbrt (+ n m)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ m n)) (cbrt (+ m n))) (cbrt (+ m n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ n m) * [exit]simplify: Simplified to (+ n m) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [enter]simplify: Simplifying (sqrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in (m K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) 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 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 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) 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 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 m) 0) into (* 1/2 (/ 1 m)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) 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 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 (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) 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 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 (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) 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 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 m) 0) into (* 1/2 (/ 1 m)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) 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 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 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m 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 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 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]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 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M)))) in (m K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M))) 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 (/ 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 (* m K)) 0) 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 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M))) 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 (/ 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 (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M))) 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 (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 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 (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M))) 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 (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* M (/ 0 (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (- M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) K))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (- M)) K)))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) K) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (- M)) (pow K 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 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 (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (- M)) (pow K 2)))) 0) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (/ 1 (/ 1 (- M))))) in (m K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (/ 1 (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (/ 1 (/ 1 (- M)))) 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 (/ 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 (* m K)) 0) 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 (* (/ 1 (- m)) (/ 1 (- K))))) (/ 1 (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (/ 1 (/ 1 (- M)))) 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 (/ 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 (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (/ 1 (/ 1 (- M)))) 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 (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]backup-simplify: Simplify (- (* -1 M)) into M * [misc]backup-simplify: Simplify (+ 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 (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (/ 1 (/ 1 (- M)))) 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 (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]backup-simplify: Simplify (- (* -1 M)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 1) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos M) 0) into (cos M) * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]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) 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 (- 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 K)) (* 0 0)) into (* 1/2 (* K (sin M))) * [misc]backup-simplify: Simplify (- (* 1/2 (* K (sin M)))) into (- (* 1/2 (* K (sin M)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* K (sin M))))) into (- (* 1/2 (* K (sin M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K (sin M)))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin M))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin M)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* 0 (sin M)) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos M) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos M) (pow K 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 (- 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) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos M) (pow K 2)))) 0) into (- (* 1/8 (* (cos M) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos M) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos M) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos M) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin M))) into (sin M) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin M)) (* 0 0)) into (* 1/2 (sin M)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin M))) into (- (* 1/2 (sin M))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin M))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin M)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 1 into 1 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 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: [ 3 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 n) (* 1/2 m))) into (log (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) into (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 n) (* 1/2 m))))) into (pow (+ (* 1/2 n) (* 1/2 m)) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 m) M)) into (log (- (* 1/2 m) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 m) M))) into (* 2 (log (- (* 1/2 m) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 m) M)))) into (pow (- (* 1/2 m) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (* 1/2 n) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (* 1/2 n) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 n) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (log (- M)) into (log (- M)) * [misc]backup-simplify: Simplify (* 2 (log (- M))) into (* 2 (log (- M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- M)))) into (pow (- M) 2) * [misc]taylor: Taking taylor expansion of (pow (- M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (* 2 (+ (log M) (log -1))) into (* 2 (+ (log M) (log -1))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- (* 1/2 n) M) 1)))) 1) into (/ 1/2 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M)))) into (/ 1 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 1) 1)))) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- M) 1)))) 1) into (/ -1/2 M) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/2 M)) (* 0 (log (- M)))) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- M)))) (+ (* (/ (pow (- (/ 1 M)) 1) 1)))) into (* -1 M) * [misc]taylor: Taking taylor expansion of (* -1 M) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log M) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log M) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (- (* 1/2 n) M) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 n) M) 1)))) 2) into (/ -1/8 (pow (- (* 1/2 n) M) 2)) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/8 (pow (- (* 1/2 n) M) 2))) (+ (* 0 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M))))) into (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) 1) 1)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n m))) (+ (* 1/4 (pow (* 1 (* 1 m)) 2)) (exp (* 2 (+ (log M) (log -1)))))) into (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m)))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) (log -1)) into (- (log -1) (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log M))) into (* 2 (- (log -1) (log M))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log M)))) into (exp (* 2 (- (log -1) (log M)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 1/2)) into (- (log 1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log n))) into (* 2 (- (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log n)))) into (exp (* 2 (- (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 1)) (pow 1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* (- (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m)))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (* 4 (/ 1 M))) 0) (* (* 4 (/ 1 (pow M 2))) (exp (* 2 (- (log 1/2) (log m))))))) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (- (* 4 (/ 1 M))) 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) 0) into (- (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log M))) into (* -2 (log M)) * [misc]backup-simplify: Simplify (exp (* -2 (log M))) into (pow M -2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1/2)) into (- (log -1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log n))) into (* 2 (- (log -1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log n)))) into (exp (* 2 (- (log -1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 1)) (pow -1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 4 (/ 1 M)))) (* 0 2)) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) (* 4 (/ 1 (pow M 2)))) (+ (* 0 (- (* 4 (/ 1 M)))) (* 0 1))) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) 0) (+ (* 0 (- (* 4 (/ 1 M)))) (* 0 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) in (m K M) around 0 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) 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 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 M)) 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 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 (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) 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 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 M)) 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 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]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 M * [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 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 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 (/ 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]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 (- (+ (* (/ 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 K * [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 (/ 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 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 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 (- (+ (* (/ 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 K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) 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 (- (+ (* 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 M * [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 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 (* (/ 1 M) (* 1 1))) (* 1/2 (* 1 (* (/ 1 K) (/ 1 m))))) into (- (* 1/2 (/ 1 (* K m))) (/ 1 M)) * [misc]approximate: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M))) in (m K M) around 0 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M))) 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 (/ 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 (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M))) 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 (/ 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]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M))) 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 (/ 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]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M))) 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 (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [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]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 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* M (/ 0 (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]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]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 (- (+ (* (/ 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 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]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- 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 (- 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* M (/ 0 (/ 1 M))) (* 0 (/ 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]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* (/ 1 K) (/ 1 m)))) (* -1 (* (/ 1 M) (* 1 1)))) into (- (* 1/2 (/ 1 (* K m))) (/ 1 M)) * [misc]approximate: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (/ 1 (/ 1 (- M)))) in (m K M) around 0 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (/ 1 (/ 1 (- M)))) 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 (/ 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 (- (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (/ 1 (/ 1 (- M)))) 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 (/ 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]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (/ 1 (/ 1 (- M)))) 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 (/ 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]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (/ 1 (/ 1 (- M)))) 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 (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]backup-simplify: Simplify (- (* -1 M)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]taylor: Taking taylor expansion of M in K * [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 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 (- 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]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]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 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]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 M) (/ 0 (/ -1 M))) (* 0 (/ 0 (/ -1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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]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 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 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 (- (+ (* (* -1 M) (/ 0 (/ -1 M))) (* 0 (/ 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]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* (/ 1 (- K)) (/ 1 (- m))))) (* 1 (* (/ 1 (- M)) (* 1 1)))) into (- (* 1/2 (/ 1 (* K m))) (/ 1 M)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (cos (- (/ (/ 1/2 m) K) (/ 1 M))) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ n m) 2) M)) (- (- (/ (+ n m) 2) M))) (/ (cos (- (/ (/ 1/2 K) m) (/ 1 M))) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ n m) 2) M)) (- (- (/ (+ n m) 2) M))) (/ (cos (- (/ (/ 1/2 K) m) (/ 1 M))) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ n m) 2) M)) (- (- (/ (+ n m) 2) M))) (/ (cos (- (/ (/ 1/2 K) m) (/ 1 M))) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (exp (- (- (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ 1/2 (* m K)) (/ 1 M))) (* (exp (- l (fabs (- m n)))) (* (exp (* (* -1 M) (* -1 M))) (pow (exp m) (+ (* 1/2 n) (* 1/4 m)))))) * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (exp (- (- (exp (* 2 (- (log 1/2) (log m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (/ 1/2 m) K) (/ 1 M))) (exp (- (+ l (* (/ 1/2 m) (/ 1/2 m))) (fabs (- m n))))) * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (exp (- (- (exp (* 2 (- (log -1/2) (log m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ 1/2 (* m K)) (/ 1 M))) (exp (- l (- (fabs (- m n)) (* (/ -1/2 m) (/ -1/2 m)))))) * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ n m) 2) M)) (- (- (/ (+ n m) 2) M))) (/ (cos (- (/ (/ 1/2 K) m) (/ 1 M))) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ n m) 2) M)) (- (- (/ (+ n m) 2) M))) (/ (cos (- (/ (/ 1/2 K) m) (/ 1 M))) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (pow (exp (- (/ (+ n m) 2) M)) (- (- (/ (+ n m) 2) M))) (/ (cos (- (/ (/ 1/2 K) m) (/ 1 M))) (exp (- l (fabs (- m n)))))) * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/2 (/ 1 (* m K)))) (cos (- (/ 1 M)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cos (/ 1/2 (* m K))) (cos (/ 1 M))) * [exit]simplify: Simplified to (* (cos (/ 1/2 (* m K))) (cos (/ 1 M))) * [enter]simplify: Simplifying (* (sin (* 1/2 (/ 1 (* m K)))) (sin (- (/ 1 M)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (sin (/ (/ 1/2 m) K)) (- (sin (/ 1 M)))) * [exit]simplify: Simplified to (* (sin (/ (/ 1/2 m) K)) (- (sin (/ 1 M)))) * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/2 (/ 1 (* m K)))) (cos (/ 1 M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (cos (/ 1 M)) (cos (/ (/ 1/2 m) K))) * [exit]simplify: Simplified to (* (cos (/ 1 M)) (cos (/ (/ 1/2 m) K))) * [enter]simplify: Simplifying (* (sin (* 1/2 (/ 1 (* m K)))) (sin (/ 1 M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (sin (/ 1 M)) (sin (/ (/ 1/2 m) K))) * [exit]simplify: Simplified to (* (sin (/ 1 M)) (sin (/ (/ 1/2 m) K))) * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (log (cos (- (/ (/ 1/2 m) K) (/ 1 M)))) * [exit]simplify: Simplified to (log (cos (- (/ (/ 1/2 m) K) (/ 1 M)))) * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (exp (cos (- (/ (/ 1/2 m) K) (/ 1 M)))) * [exit]simplify: Simplified to (exp (cos (- (/ (/ 1/2 m) K) (/ 1 M)))) * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M)))) (cbrt (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (/ 1/2 m) K) (/ 1 M)))) (cbrt (cos (- (/ (/ 1/2 m) K) (/ 1 M))))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (/ 1/2 m) K) (/ 1 M)))) (cbrt (cos (- (/ (/ 1/2 m) K) (/ 1 M))))) * [enter]simplify: Simplifying (cbrt (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (/ (/ 1/2 m) K) (/ 1 M)))) * [exit]simplify: Simplified to (cbrt (cos (- (/ (/ 1/2 m) K) (/ 1 M)))) * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M)))) (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (pow (cos (- (/ (/ 1/2 m) K) (/ 1 M))) 3) * [exit]simplify: Simplified to (pow (cos (- (/ (/ 1/2 m) K) (/ 1 M))) 3) * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (/ (/ 1/2 m) K) (/ 1 M)))) * [exit]simplify: Simplified to (sqrt (cos (- (/ (/ 1/2 m) K) (/ 1 M)))) * [enter]simplify: Simplifying (sqrt (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (/ (/ 1/2 m) K) (/ 1 M)))) * [exit]simplify: Simplified to (sqrt (cos (- (/ (/ 1/2 m) K) (/ 1 M)))) * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 62 ] 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: [ 23 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 62 ] 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: [ 26 / 62 ] 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: [ 27 / 62 ] 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: [ 28 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (* m K))) (cbrt (/ 1 (* m K)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* K m))) (cbrt (/ 1 (* K m)))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* K m))) (cbrt (/ 1 (* K m)))) * [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: [ 29 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (* m K)) (/ 1 (* m K))) (/ 1 (* m K))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ 1 (pow (* K m) 3)) * [exit]simplify: Simplified to (/ 1 (pow (* K m) 3)) * * * * [misc]progress: [ 30 / 62 ] 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))) * [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: [ 31 / 62 ] 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: [ 32 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 62 ] 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: [ 34 / 62 ] 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: [ 35 / 62 ] 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: [ 36 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) * [enter]simplify: Simplifying (pow (cbrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (- (/ (+ m n) 2) M) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [enter]simplify: Simplifying (cbrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (- (/ (+ m n) 2) M) 2) (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 3) * [exit]simplify: Simplified to (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 3) * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* 1/2 (/ 1 (* m K)))) (exp (/ 1 M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (exp (- (/ (/ 1/2 m) K) (/ 1 M))) * [exit]simplify: Simplified to (exp (- (/ (/ 1/2 m) K) (/ 1 M))) * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (log (- (/ (/ 1/2 K) m) (/ 1 M))) * [exit]simplify: Simplified to (log (- (/ (/ 1/2 K) m) (/ 1 M))) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (exp (- (/ (/ 1/2 K) m) (/ 1 M))) * [exit]simplify: Simplified to (exp (- (/ (/ 1/2 K) m) (/ 1 M))) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (cbrt (- (* 1/2 (/ 1 (* m K))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (/ 1/2 m) K) (/ 1 M))) (cbrt (- (/ (/ 1/2 m) K) (/ 1 M)))) * [exit]simplify: Simplified to (* (cbrt (- (/ (/ 1/2 m) K) (/ 1 M))) (cbrt (- (/ (/ 1/2 m) K) (/ 1 M)))) * [enter]simplify: Simplifying (cbrt (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (/ 1/2 K) m) (/ 1 M))) * [exit]simplify: Simplified to (cbrt (- (/ (/ 1/2 K) m) (/ 1 M))) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (pow (- (/ (/ 1/2 m) K) (/ 1 M)) 3) * [exit]simplify: Simplified to (pow (- (/ (/ 1/2 m) K) (/ 1 M)) 3) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ 1/2 K) m) (/ 1 M))) * [exit]simplify: Simplified to (sqrt (- (/ (/ 1/2 K) m) (/ 1 M))) * [enter]simplify: Simplifying (sqrt (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ 1/2 K) m) (/ 1 M))) * [exit]simplify: Simplified to (sqrt (- (/ (/ 1/2 K) m) (/ 1 M))) * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 M) (* (* m K) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (* M 1/2) (* m K)) * [exit]simplify: Simplified to (- (* M 1/2) (* m K)) * [enter]simplify: Simplifying (* (* m K) M) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (* M K) m) * [exit]simplify: Simplified to (* (* M K) m) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* 1/2 1) M) (* (* m K) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (* 1/2 M) (* m K)) * [exit]simplify: Simplified to (- (* 1/2 M) (* m K)) * [enter]simplify: Simplifying (* (* m K) M) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (* M K) m) * [exit]simplify: Simplified to (* (* M K) m) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* 1/2 (/ 1 (* m K))) 3) (pow (/ 1 M) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: iters left: 1 (476 enodes) * [exit]simplify: Simplified to (- (pow (/ (/ 1/2 K) m) 3) (/ (/ 1 M) (* M M))) * [exit]simplify: Simplified to (- (pow (/ (/ 1/2 K) m) 3) (/ (/ 1 M) (* M M))) * [enter]simplify: Simplifying (+ (* (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* m K)))) (+ (* (/ 1 M) (/ 1 M)) (* (* 1/2 (/ 1 (* m K))) (/ 1 M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ 1/2 M) (* m K)) (/ (/ 1 M) M)) (* (/ (/ 1/2 K) m) (/ (/ 1/2 K) m))) * [exit]simplify: Simplified to (+ (+ (/ (/ 1/2 M) (* m K)) (/ (/ 1 M) M)) (* (/ (/ 1/2 K) m) (/ (/ 1/2 K) m))) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 M)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) M) * [exit]simplify: Simplified to (/ (- 1) M) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* m K)))) (* (/ 1 M) (/ 1 M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (- (* (/ (/ 1/2 K) m) (/ (/ 1/2 K) m)) (/ (/ 1 M) M)) * [exit]simplify: Simplified to (- (* (/ (/ 1/2 K) m) (/ (/ 1/2 K) m)) (/ (/ 1 M) M)) * [enter]simplify: Simplifying (+ (* 1/2 (/ 1 (* m K))) (/ 1 M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (/ 1 M) (/ 1/2 (* m K))) * [exit]simplify: Simplified to (+ (/ 1 M) (/ 1/2 (* m K))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # #) * [misc]regimes: searching between -9.17662871189908e+306 and -inf.0 on (- (/ (* K (+ m n)) 2) M) * [misc]regimes: searching between 3.400817693513103e+286 and 1.6857880629219597e+282 on (- (/ (* K (+ m n)) 2) M) * [misc]regimes: searching between -9.546526060338913e+38 and -2.052978559587859e+39 on K * [misc]regimes: searching between 1.0511117608546839e+42 and 2.4525260873258867e+40 on K * [misc]regimes: searching between -6.273687852979242e-24 and -7.507513047771287e-23 on m * [misc]regimes: searching between 7.374599313145653e-181 and 9.935953839485377e-182 on m * [misc]regimes: searching between -1.3476787693438713e-211 and -8.912455888637464e-205 on n * [misc]regimes: searching between 3.777938694630802e+71 and 2.8740143822032535e+68 on n * [misc]regimes: searching between -4.03008772537862e-252 and -7.681241607122983e-249 on M * [misc]regimes: searching between 4.624728659384181e-49 and 3.431544005047869e-49 on M * [misc]regimes: searching between -1.9927000359548983e+145 and -2.963063921831757e+148 on l * [misc]regimes: searching between 2.7965540730031745e-190 and 1.02319913998522e-193 on l * [misc]regimes: Found splitpoints: (#s(sp 0 (- (/ (* K (+ m n)) 2) M) -inf.0) #s(sp 1 (- (/ (* K (+ m n)) 2) M) 1.2222768544040524e+286) #s(sp 0 (- (/ (* K (+ m n)) 2) M) +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 (- (/ (* K (+ m n)) 2) M) -inf.0)) (#s(sp 1 (- (/ (* K (+ m n)) 2) M) 1.2222768544040524e+286) . #s(sp 0 (- (/ (* K (+ m n)) 2) M) +inf.0))) * [misc]splitpoints: intervals are: ((#s(sp 0 (- (/ (* K (+ m n)) 2) M) -inf.0) . #s(sp 1 (- (/ (* K (+ m n)) 2) M) 1.2222768544040524e+286))) * [enter]simplify: Simplifying (sin (/ (/ 1/2 m) K)) * * [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 K) m)) * [exit]simplify: Simplified to (sin (/ (/ 1/2 K) m)) * [enter]simplify: Simplifying (- (sin (/ 1 M))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (sin (/ 1 M))) * [exit]simplify: Simplified to (- (sin (/ 1 M))) * [enter]simplify: Simplifying (cos (- (/ (/ 1/2 m) K) (/ 1 M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cos (- (/ (/ 1/2 K) m) (/ 1 M))) * [exit]simplify: Simplified to (cos (- (/ (/ 1/2 K) m) (/ 1 M))) * [enter]simplify: Simplifying (cos (- (* (+ m n) (/ K 2)) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (cos (- (* (+ n m) (/ K 2)) M)) * [exit]simplify: Simplified to (cos (- (* (+ n m) (/ K 2)) M)) * [enter]simplify: Simplifying (sin (/ (/ 1/2 m) K)) * * [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 K) m)) * [exit]simplify: Simplified to (sin (/ (/ 1/2 K) m)) * [enter]simplify: Simplifying (- (sin (/ 1 M))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (sin (/ 1 M))) * [exit]simplify: Simplified to (- (sin (/ 1 M))) * [enter]simplify: Simplifying (/ (cos (- (/ (+ n m) (/ 2 K)) M)) (exp (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- l (fabs (- m n))))) * [exit]simplify: Simplified to (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- l (fabs (- m n))))) * [enter]simplify: Simplifying (* (exp (* (* M -1) (* M -1))) (pow (exp m) (+ (* 1/2 n) (* m 1/4)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (exp (* M M)) (pow (exp m) (+ (* 1/4 m) (* n 1/2)))) * [exit]simplify: Simplified to (* (exp (* M M)) (pow (exp m) (+ (* 1/4 m) (* n 1/2)))) * [enter]simplify: Simplifying (* K (- (* m m) (* n n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (* K (- m n)) (+ n m)) * [exit]simplify: Simplified to (* (* K (- m n)) (+ n m)) * [enter]simplify: Simplifying (exp (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * [exit]simplify: Simplified to (exp (cbrt (+ n m)))