* [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 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (* K (+ m n)) 2) in (K m n) around 0 * [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 (/ (* 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 (/ (* 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 (/ (* 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 (* 1/2 (+ n m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 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]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) 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]backup-simplify: Simplify (+ (* 1/2 1) (* 0 n)) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 n))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* n (* 1 K))) (* 1/2 (* 1 (* m K)))) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in (K m n) around 0 * [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 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 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 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 (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]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]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 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]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1/2 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in (K m n) around 0 * [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 (- 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 (- 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 (- 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 (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]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]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 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]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1/2 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * * * * [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 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: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (/ (cos (+ (/ 1 M) (/ (+ (/ 1/2 m) (/ 1/2 n)) K))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (exp (- l (fabs (- m n)))) (cos (- (* (* 1/2 K) (+ m n)) M)))) * * * * [misc]progress: [ 5 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (exp (- l (fabs (- m n)))) (cos (- (* (* 1/2 K) (+ m n)) M)))) * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ m n) 2) M)) (- (- (/ (+ m n) 2) M))) (/ (exp (- l (fabs (- m n)))) (cos (- (* (* 1/2 K) (+ m n)) M)))) * * * * [misc]progress: [ 7 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (/ (/ (cos (- (* (/ K 2) (+ m n)) M)) (* (exp (* (* M -1) (* M -1))) (pow (exp m) (+ (* 1/4 m) (* n 1/2))))) (exp (- l (fabs (- m n))))) * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (exp (* 2 (- (log 1/2) (log m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- l (fabs (- m n))) (* (/ 1/2 m) (/ 1/2 m))))) * * * * [misc]progress: [ 9 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (exp (* 2 (- (log -1/2) (log m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- l (fabs (- m n))) (* (/ -1/2 m) (/ -1/2 m))))) * * * * [misc]progress: [ 10 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (+ (* 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: [ 11 / 63 ] 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: [ 12 / 63 ] 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: [ 13 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ m n) (/ 2 K)) M))) (cbrt (cos (- (/ (+ m n) (/ 2 K)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (log (* (+ m n) (/ K 2))) * [exit]simplify: Simplified to (log (* (+ m n) (/ K 2))) * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (exp (/ (+ m n) (/ 2 K))) * [exit]simplify: Simplified to (exp (/ (+ m n) (/ 2 K))) * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (cbrt (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* K (+ m n)) 2) (/ (* K (+ m n)) 2)) (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (pow (* (+ m n) (/ K 2)) 3) * [exit]simplify: Simplified to (pow (* (+ m n) (/ K 2)) 3) * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (* (/ K 2) (+ m n))) * [exit]simplify: Simplified to (sqrt (* (/ K 2) (+ m n))) * [enter]simplify: Simplifying (sqrt (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (* (/ K 2) (+ m n))) * [exit]simplify: Simplified to (sqrt (* (/ K 2) (+ m n))) * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* K (+ m n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (* (- K) (+ m n)) * [exit]simplify: Simplified to (* (- K) (+ m n)) * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (* K (+ m n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 2 K) (+ n m)) * [exit]simplify: Simplified to (/ (/ 2 K) (+ n m)) * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ m n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 2 (+ m n)) * [exit]simplify: Simplified to (/ 2 (+ m n)) * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* m m) (- (* n n) (* m n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (+ (* (- n m) (+ n n)) (+ (* m m) (* m m))) * [exit]simplify: Simplified to (+ (* (- n m) (+ n n)) (+ (* m m) (* m m))) * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- m n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (+ (- m n) (- m n)) * [exit]simplify: Simplified to (+ (- m n) (- m n)) * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) * [enter]simplify: Simplifying (pow (cbrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (- (/ (+ m n) 2) M) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 44 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [enter]simplify: Simplifying (cbrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 46 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (- (/ (+ m n) 2) M) 2) (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 3) * [exit]simplify: Simplified to (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 3) * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 63 ] 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: [ 51 / 63 ] 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: [ 52 / 63 ] 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: [ 53 / 63 ] 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: [ 54 / 63 ] 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: [ 55 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 63 ] 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: [ 57 / 63 ] 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: [ 58 / 63 ] 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: [ 59 / 63 ] 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: [ 60 / 63 ] 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: [ 61 / 63 ] 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: [ 62 / 63 ] 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: [ 63 / 63 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M)) in M * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M) in M * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) in M * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) in M * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* (+ n m) K))) into (log (* 1/2 (* (+ n m) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* (+ n m) K)))) into (* 1/3 (log (* 1/2 (* (+ n m) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* (+ n m) K))))) into (pow (* 1/2 (* (+ n m) K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* (+ n m) K))) into (log (* 1/2 (* (+ n m) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* (+ n m) K)))) into (* 1/3 (log (* 1/2 (* (+ n m) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* (+ n m) K))))) into (pow (* 1/2 (* (+ n m) K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* (+ n m) K))) into (log (* 1/2 (* (+ n m) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* (+ n m) K)))) into (* 1/3 (log (* 1/2 (* (+ n m) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* (+ n m) K))))) into (pow (* 1/2 (* (+ n m) K)) 1/3) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (pow (* 1/2 (* (+ n m) K)) 1/3) (pow (* 1/2 (* (+ n m) K)) 1/3)) into (pow (* (pow (+ n m) 2) (* (pow 1/2 2) (pow K 2))) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (pow (+ n m) 2) (* (pow 1/2 2) (pow K 2))) 1/3) (pow (* 1/2 (* (+ n m) K)) 1/3)) into (* (pow (* 1/2 1/4) 1/3) (* (+ n m) K)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/2 1/4) 1/3) (* (+ n m) K)) 0) into (+ (* (pow 1/8 1/3) (* n K)) (* (pow 1/8 1/3) (* m K))) * [misc]backup-simplify: Simplify (cos (+ (* (pow 1/8 1/3) (* n K)) (* (pow 1/8 1/3) (* m K)))) into (cos (+ (* (pow 1/8 1/3) (* n K)) (* (pow 1/8 1/3) (* m K)))) * [misc]backup-simplify: Simplify (sin (+ (* (pow 1/8 1/3) (* n K)) (* (pow 1/8 1/3) (* m K)))) into (sin (+ (* (pow 1/8 1/3) (* n K)) (* (pow 1/8 1/3) (* m K)))) * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M)) in n * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M) in n * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) in n * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* K m))) into (log (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* K m)))) into (* 1/3 (log (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* K m))))) into (pow (* 1/2 (* K m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* K m))) into (log (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* K m)))) into (* 1/3 (log (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* K m))))) into (pow (* 1/2 (* K m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* K m))) into (log (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* K m)))) into (* 1/3 (log (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* K m))))) into (pow (* 1/2 (* K m)) 1/3) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* (pow (* 1/2 (* K m)) 1/3) (pow (* 1/2 (* K m)) 1/3)) into (pow (* (pow m 2) (* (pow 1/2 2) (pow K 2))) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (pow m 2) (* (pow 1/2 2) (pow K 2))) 1/3) (pow (* 1/2 (* K m)) 1/3)) into (* (pow (* 1/2 1/4) 1/3) (* m K)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* (pow (* 1/2 1/4) 1/3) (* m K)) (- M)) into (- (* (pow 1/8 1/3) (* m K)) M) * [misc]backup-simplify: Simplify (cos (- (* (pow 1/8 1/3) (* m K)) M)) into (cos (- (* (pow 1/8 1/3) (* m K)) M)) * [misc]backup-simplify: Simplify (sin (- (* (pow 1/8 1/3) (* m K)) M)) into (sin (- (* (pow 1/8 1/3) (* m K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M)) in m * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M) in m * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* n K))) into (log (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* n K)))) into (* 1/3 (log (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* n K))))) into (pow (* 1/2 (* n K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* n K))) into (log (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* n K)))) into (* 1/3 (log (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* n K))))) into (pow (* 1/2 (* n K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* n K))) into (log (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* n K)))) into (* 1/3 (log (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* n K))))) into (pow (* 1/2 (* n K)) 1/3) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* (pow (* 1/2 (* n K)) 1/3) (pow (* 1/2 (* n K)) 1/3)) into (pow (* (pow n 2) (* (pow 1/2 2) (pow K 2))) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (pow n 2) (* (pow 1/2 2) (pow K 2))) 1/3) (pow (* 1/2 (* n K)) 1/3)) into (* (* n K) (pow (* 1/2 1/4) 1/3)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* (* n K) (pow (* 1/2 1/4) 1/3)) (- M)) into (- (* (pow 1/8 1/3) (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* (pow 1/8 1/3) (* n K)) M)) into (cos (- (* (pow 1/8 1/3) (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* (pow 1/8 1/3) (* n K)) M)) into (sin (- (* (pow 1/8 1/3) (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M)) in K * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M) in K * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))) into (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 2) (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))) into (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) (- M)) into (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M) * [misc]backup-simplify: Simplify (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) into (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) * [misc]backup-simplify: Simplify (sin (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) into (sin (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M)) in K * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M) in K * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))) into (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 2) (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))) into (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) (- M)) into (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M) * [misc]backup-simplify: Simplify (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) into (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) * [misc]backup-simplify: Simplify (sin (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) into (sin (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) * [misc]backup-simplify: Simplify (* (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) 1) into (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) * [misc]backup-simplify: Simplify (* (sin (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) 0) into (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) * [misc]taylor: Taking taylor expansion of (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) in m * [misc]taylor: Taking taylor expansion of (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M) in m * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n 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 (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 (+ n 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 K) (log (* 1/2 (+ n m)))) in m * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ n m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ n m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (log (* 1/2 n)) into (log (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (log K) (log (* 1/2 n))) into (+ (log K) (log (* 1/2 n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 n)))) into (* 1/3 (+ (log K) (log (* 1/2 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log K) (log (* 1/2 n)))))) into (* 1/3 (+ (log K) (log (* 1/2 n)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (+ (log K) (log (* 1/2 n))))) into (+ (log K) (log (* 1/2 n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (log (* 1/2 n)))) into (exp (+ (log K) (log (* 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 (+ (exp (+ (log K) (log (* 1/2 n)))) (- M)) into (- (exp (+ (log K) (log (* 1/2 n)))) M) * [misc]backup-simplify: Simplify (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) into (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) * [misc]backup-simplify: Simplify (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) into (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) * [misc]backup-simplify: Simplify (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) 1) into (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) * [misc]backup-simplify: Simplify (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) 0) into (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) * [misc]taylor: Taking taylor expansion of (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) in n * [misc]taylor: Taking taylor expansion of (- (exp (+ (log K) (log (* 1/2 n)))) M) in n * [misc]taylor: Taking taylor expansion of (exp (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (+ (log 1/2) (log n)))) into (exp (+ (log K) (+ (log 1/2) (log 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 (+ (exp (+ (log K) (+ (log 1/2) (log n)))) (- M)) into (- (exp (+ (log K) (+ (log 1/2) (log n)))) M) * [misc]backup-simplify: Simplify (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) into (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 1) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]taylor: Taking taylor expansion of (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) in M * [misc]taylor: Taking taylor expansion of (- (exp (+ (log K) (+ (log 1/2) (log n)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (+ (log K) (+ (log 1/2) (log n)))) in M * [misc]taylor: Taking taylor expansion of (+ (log K) (+ (log 1/2) (log n))) in M * [misc]taylor: Taking taylor expansion of (log K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (+ (log 1/2) (log n)) 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 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 (+ (log 1/2) (log n)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (+ (log 1/2) (log n)))) into (exp (+ (log K) (+ (log 1/2) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log K) (+ (log 1/2) (log n)))) 0) into (exp (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (cos (exp (+ (log K) (+ (log 1/2) (log n))))) into (cos (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (sin (exp (+ (log K) (+ (log 1/2) (log n))))) into (sin (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (* (cos (exp (+ (log K) (+ (log 1/2) (log n))))) 1) into (cos (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (* (sin (exp (+ (log K) (+ (log 1/2) (log n))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (exp (+ (log K) (+ (log 1/2) (log n))))) 0) into (cos (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (cos (exp (+ (log K) (+ (log 1/2) (log n))))) into (cos (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) 0) (* 0 1)) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log (* 1/2 (+ n m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log (* 1/2 (+ n m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log (* 1/2 (+ n m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 0) (* 0 (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 2) 0) (* 0 (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n 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 (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) 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]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 (- (exp (+ (log K) (log (* 1/2 n)))) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 n)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (* 1/2 n) 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n))) 1)) (pow (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (* 0 (* 1/3 (+ (log K) (log (* 1/2 n)))))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp (+ (log K) (log (* 1/2 n)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (+ (log K) (log (* 1/2 n)))) n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (+ (log K) (log (* 1/2 n)))) n) 0) into (/ (exp (+ (log K) (log (* 1/2 n)))) n) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (/ (exp (+ (log K) (log (* 1/2 n)))) n) 1) 1))) into (/ (exp (+ (log K) (log (* 1/2 n)))) n) * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (/ (exp (+ (log K) (log (* 1/2 n)))) n)) (* 0 0)) into (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n) * [misc]backup-simplify: Simplify (- (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n)) into (- (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n))) into (- (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n)) * [misc]taylor: Taking taylor expansion of (- (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n)) in n * [misc]taylor: Taking taylor expansion of (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n) in n * [misc]taylor: Taking taylor expansion of (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) in n * [misc]taylor: Taking taylor expansion of (- (exp (+ (log K) (log (* 1/2 n)))) M) in n * [misc]taylor: Taking taylor expansion of (exp (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (+ (log 1/2) (log n)))) into (exp (+ (log K) (+ (log 1/2) (log 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 (+ (exp (+ (log K) (+ (log 1/2) (log n)))) (- M)) into (- (exp (+ (log K) (+ (log 1/2) (log n)))) M) * [misc]backup-simplify: Simplify (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) into (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]taylor: Taking taylor expansion of (exp (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (+ (log 1/2) (log n)))) into (exp (+ (log K) (+ (log 1/2) (log 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 (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 1) into (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) into (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (+ (log K) (+ (log 1/2) (log n))))) into (* (exp (+ (log K) (+ (log 1/2) (log n)))) (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M))) * [misc]backup-simplify: Simplify (/ (* (exp (+ (log K) (+ (log 1/2) (log n)))) (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M))) 1) into (* (exp (+ (log K) (+ (log 1/2) (log n)))) (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (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 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 (exp (+ (log K) (+ (log 1/2) (log n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (+ (log K) (+ (log 1/2) (log n)))) (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M))) (/ 0 1)))) 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 (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (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 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) 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 (+ (* (cos (exp (+ (log K) (+ (log 1/2) (log n))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) 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 n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1 1) 1))) into (- 1) * [misc]backup-simplify: Simplify (+ (* (sin (exp (+ (log K) (+ (log 1/2) (log n))))) (- 1)) (* 0 0)) into (- (sin (exp (+ (log K) (+ (log 1/2) (log n)))))) * [misc]backup-simplify: Simplify (- (- (sin (exp (+ (log K) (+ (log 1/2) (log n))))))) into (sin (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (+ 0 (sin (exp (+ (log K) (+ (log 1/2) (log n)))))) into (sin (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (sin (exp (+ (log K) (+ (log 1/2) (log n))))) into (sin (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) 0) (+ (* 0 0) (* 0 1))) 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]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ n m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (log (* 1/2 (+ n m))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ n m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (log (* 1/2 (+ n m))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ n m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (log (* 1/2 (+ n m))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n 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 (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) 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]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (/ (exp (+ (log K) (log (* 1/2 n)))) n) 2) 2)) 0) into (- (* 1/2 (/ (pow (exp (+ (log K) (log (* 1/2 n)))) 2) (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (- (* 1/2 (/ (pow (exp (+ (log K) (log (* 1/2 n)))) 2) (pow n 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (/ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (* 1/2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow n 2))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n))) 2)) (pow (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2)))) 1)) (pow (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) 1)))) 2) into (/ -1/6 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/6 (pow n 2))) (+ (* 0 (/ 1/3 n)) (* 0 (* 1/3 (+ (log K) (log (* 1/2 n))))))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (+ (log K) (log (* 1/2 n)))) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 2)))) 1) 1)))) 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 (- (exp (+ (log K) (log (* 1/2 n)))) M)) 0) (+ (* 0 (/ (exp (+ (log K) (log (* 1/2 n)))) n)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) (pow n 2)))) 0) into (- (* 1/2 (/ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) in n * [misc]taylor: Taking taylor expansion of (- (exp (+ (log K) (log (* 1/2 n)))) M) in n * [misc]taylor: Taking taylor expansion of (exp (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (+ (log 1/2) (log n)))) into (exp (+ (log K) (+ (log 1/2) (log 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 (+ (exp (+ (log K) (+ (log 1/2) (log n)))) (- M)) into (- (exp (+ (log K) (+ (log 1/2) (log n)))) M) * [misc]backup-simplify: Simplify (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) into (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]taylor: Taking taylor expansion of (pow (exp (+ (log K) (log (* 1/2 n)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (+ (log K) (log (* 1/2 n))))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (+ (log K) (log (* 1/2 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 (log (exp (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (exp (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (+ (log 1/2) (log n)))) into (exp (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (log (exp (+ (log K) (+ (log 1/2) (log n))))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 2 (+ (log K) (+ (log 1/2) (log n)))) into (* 2 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 2 (+ (log K) (+ (log 1/2) (log n))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 1) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))) into (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))) * [misc]backup-simplify: Simplify (/ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))) 1) into (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (+ (log K) (+ (log 1/2) (log n)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (+ (log K) (+ (log 1/2) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (+ (log K) (+ (log 1/2) (log n)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log K) (+ (log 1/2) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (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 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) 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 (* (exp (* 2 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 (exp (* 2 (+ (log K) (+ (log 1/2) (log n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n))))))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 (exp (+ (log K) (+ (log 1/2) (log n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (+ (log K) (+ (log 1/2) (log n)))) (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M))) (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) 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 (+ (* (sin (exp (+ (log K) (+ (log 1/2) (log n))))) (* M (* 1 (* 1 1)))) (cos (exp (+ (log K) (+ (log 1/2) (log n)))))) into (+ (* M (sin (exp (+ (log K) (+ (log 1/2) (log n)))))) (cos (exp (+ (log K) (+ (log 1/2) (log n)))))) * [misc]approximate: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in M * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in M * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) into (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) into (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))))) into (pow (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) into (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) into (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))))) into (pow (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) into (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) into (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))))) into (pow (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) 1/3) * [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 (- (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (/ 1 M))) into (cos (- (pow (cbrt (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) 3) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in n * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log 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 (* (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) (exp (* 1/3 (- (log (/ 1/2 K)) (log n))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 2) (exp (* 1/3 (- (log (/ 1/2 K)) (log n))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (- (/ 1 M))) into (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (/ 1 M))) into (cos (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (/ 1 M))) into (sin (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log 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 (* (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) (exp (* 1/3 (- (log (/ 1/2 K)) (log m))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 2) (exp (* 1/3 (- (log (/ 1/2 K)) (log m))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (- (/ 1 M))) into (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (/ 1 M))) into (cos (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (/ 1 M))) into (sin (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log 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 (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (- (/ 1 M))) into (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) into (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) into (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log 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 (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (- (/ 1 M))) into (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) into (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) into (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) 1) into (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) 0) into (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log 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 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log 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 (+ (exp (- (log 1/2) (+ (log K) (log m)))) (- (/ 1 M))) into (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 1) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [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 (+ (exp (- (log 1/2) (+ (log K) (log m)))) (- (/ 1 M))) into (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 1) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (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 K) (log m)) in M * [misc]taylor: Taking taylor expansion of (log K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log 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 (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log 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 (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 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]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 (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 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 (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n))) 1)) (pow (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (* 0 (* 1/3 (- (log 1/2) (+ (log K) (log m)))))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) 0) into (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) 1) 1))) into (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) (/ (exp (- (log 1/2) (+ (log K) (log m)))) n)) (* 0 0)) into (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n) * [misc]backup-simplify: Simplify (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n)) into (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n))) into (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n)) * [misc]taylor: Taking taylor expansion of (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n)) in n * [misc]taylor: Taking taylor expansion of (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n) in n * [misc]taylor: Taking taylor expansion of (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [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 (+ (exp (- (log 1/2) (+ (log K) (log m)))) (- (/ 1 M))) into (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)) * [misc]backup-simplify: Simplify (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 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 (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 1) into (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) into (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) into (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) 1) into (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) (* 0 1)) 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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/2) (+ (log K) (log m)))) 0) (* 0 (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) (/ 0 1)))) 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 (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) (* 0 1)) 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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 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]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log 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]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 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]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 (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in M * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in M * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) into (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) into (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))))) into (pow (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) into (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) into (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))))) into (pow (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) into (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) into (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))))) into (pow (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) 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 (- (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (/ 1 (- M)))) into (cos (+ (/ 1 M) (pow (cbrt (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) 3))) * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in n * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) (exp (* 1/3 (- (log (/ 1/2 K)) (log n))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 2) (exp (* 1/3 (- (log (/ 1/2 K)) (log n))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (/ 1 M)) into (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3))) into (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3))) into (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3))) * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log 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 (* (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) (exp (* 1/3 (- (log (/ 1/2 K)) (log m))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 2) (exp (* 1/3 (- (log (/ 1/2 K)) (log m))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (/ 1 M)) into (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3))) into (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3))) into (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3))) * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log 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 (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M)) into (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) into (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) into (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) * [misc]taylor: Taking taylor expansion of (cos (- (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log 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 (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M)) into (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) into (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) into (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) * [misc]backup-simplify: Simplify (* (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 1) into (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) * [misc]backup-simplify: Simplify (* (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 0) into (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3)) 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 (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log 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 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) into (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (* (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 1) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (* (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log 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]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) into (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (* (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 1) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (* (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (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 K) (log m)) in M * [misc]taylor: Taking taylor expansion of (log K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))))) 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 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 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]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) (exp (- (log 1/2) (+ (log K) (log m)))))) 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 (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n))) 1)) (pow (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (* 0 (* 1/3 (- (log 1/2) (+ (log K) (log m)))))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ 0 (/ (exp (- (log 1/2) (+ (log K) (log m)))) n)) into (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) 1) 1))) into (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ (* (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) (/ (exp (- (log 1/2) (+ (log K) (log m)))) n)) (* 0 0)) into (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n) * [misc]backup-simplify: Simplify (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n)) into (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n))) into (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n)) * [misc]taylor: Taking taylor expansion of (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n)) in n * [misc]taylor: Taking taylor expansion of (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n) in n * [misc]taylor: Taking taylor expansion of (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) in n * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log 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]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) into (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (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 (* (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 1) into (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (* (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) into (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) into (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) * [misc]backup-simplify: Simplify (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) 1) into (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 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 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) 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) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/2) (+ (log K) (log m)))) 0) (* 0 (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) (/ 0 1)))) 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 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 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 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) 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) (exp (- (log 1/2) (+ (log K) (log 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log 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 (- 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 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 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]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) (exp (- (log 1/2) (+ (log K) (log m)))))) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* K m))) into (log (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* K m)))) into (* 1/3 (log (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* K m))))) into (pow (* 1/2 (* K m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* n K))) into (log (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* n K)))) into (* 1/3 (log (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* n K))))) into (pow (* 1/2 (* n K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 (+ n 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 K) (log (* 1/2 (+ n m)))) in m * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ n m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ n m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (log (* 1/2 n)) into (log (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (log K) (log (* 1/2 n))) into (+ (log K) (log (* 1/2 n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 n)))) into (* 1/3 (+ (log K) (log (* 1/2 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 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 K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log (* 1/2 (+ n m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 n)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (* 1/2 n) 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) 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 K) (log (* 1/2 n))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 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 K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log 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 (/ (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) 1) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ n m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (log (* 1/2 (+ n m))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (* 1/2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow n 2))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (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 K) (log (* 1/2 n))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 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 K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) 1) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (+ (log 1/2) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))))) 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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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) (/ 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (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 K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 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 0) 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 1/2) (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))))) 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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (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 (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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) (/ 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (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 K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 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 0) 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 1/2) (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* K m))) into (log (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* K m)))) into (* 1/3 (log (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* K m))))) into (pow (* 1/2 (* K m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* n K))) into (log (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* n K)))) into (* 1/3 (log (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* n K))))) into (pow (* 1/2 (* n K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 (+ n 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 K) (log (* 1/2 (+ n m)))) in m * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ n m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ n m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (log (* 1/2 n)) into (log (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (log K) (log (* 1/2 n))) into (+ (log K) (log (* 1/2 n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 n)))) into (* 1/3 (+ (log K) (log (* 1/2 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 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 K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log (* 1/2 (+ n m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 n)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (* 1/2 n) 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) 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 K) (log (* 1/2 n))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 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 K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log 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 (/ (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) 1) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ n m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (log (* 1/2 (+ n m))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (* 1/2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow n 2))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (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 K) (log (* 1/2 n))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 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 K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) 1) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (+ (log 1/2) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))))) 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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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) (/ 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (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 K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 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 0) 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 1/2) (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))))) 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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (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 (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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) (/ 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (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 K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 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 0) 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 1/2) (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* K m))) into (log (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* K m)))) into (* 1/3 (log (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* K m))))) into (pow (* 1/2 (* K m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (* n K))) into (log (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* n K)))) into (* 1/3 (log (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* n K))))) into (pow (* 1/2 (* n K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) 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 (/ (* K (+ m n)) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 (+ n 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 K) (log (* 1/2 (+ n m)))) in m * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ n m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ n m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (log (* 1/2 n)) into (log (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (log K) (log (* 1/2 n))) into (+ (log K) (log (* 1/2 n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 n)))) into (* 1/3 (+ (log K) (log (* 1/2 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 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 K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log (* 1/2 (+ n m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 n)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (* 1/2 n) 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) 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 K) (log (* 1/2 n))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 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 K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log 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 (/ (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) 1) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ n m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (log (* 1/2 (+ n m))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (* 1/2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow n 2))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (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 K) (log (* 1/2 n))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 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 K) (log (* 1/2 n))) in n * [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]taylor: Taking taylor expansion of (log (* 1/2 n)) 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]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 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 (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) 1) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (+ (log 1/2) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) 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 K) (+ (/ 1 m) (/ 1 n))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))))) 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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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) (/ 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (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 K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 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 0) 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 1/2) (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) 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]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))))) 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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (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 (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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) (/ 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (log m))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (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 1/2) (+ (log K) (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 K) (log m)) in n * [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]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 K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (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 K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 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 0) 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 1/2) (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (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 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* M (sin (exp (+ (log K) (+ (log 1/2) (log n)))))) (cos (exp (+ (log K) (+ (log 1/2) (log n)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (/ (+ (cos (* K (* 1/2 n))) (* (sin (* K (* 1/2 n))) M)) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- (/ (+ n m) 2) M)) (- (- (/ (+ n m) 2) M))) (/ (exp (- l (fabs (- m n)))) (cos (- (/ 1/2 (* K m)) (/ 1 M))))) * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (/ (cos (+ (/ 1 M) (/ (/ 1/2 m) K))) (exp (- l (fabs (- m n))))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n)))))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (* (cbrt (* 1/2 (* K n))) (cbrt (* (/ K 2) (+ m n)))) (cbrt (* (/ K 2) (+ 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 (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (pow (exp 1/3) (- (log 1/2) (+ (log m) (log K)))) (* (cbrt (* (/ K 2) (+ m n))) (cbrt (* (/ K 2) (+ 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 (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (pow (exp 1/3) (- (log 1/2) (+ (log m) (log K)))) (* (cbrt (* (/ K 2) (+ m n))) (cbrt (* (/ K 2) (+ 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 (- (* (* (cbrt (/ (* K (+ m n)) 2)) (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n)))))) (cbrt (/ (* K (+ m n)) 2))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (* (cbrt (* (/ K 2) (+ m n))) (cbrt (* (/ K 2) (+ m n)))) (cbrt (* (* K 1/2) 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 (- (* (* (cbrt (/ (* K (+ m n)) 2)) (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))) (cbrt (/ (* K (+ m n)) 2))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (pow (exp 1/3) (- (log 1/2) (+ (log K) (log m))))) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* (* (cbrt (/ (* K (+ m n)) 2)) (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))) (cbrt (/ (* K (+ m n)) 2))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (pow (exp 1/3) (- (log 1/2) (+ (log K) (log m))))) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (cbrt (* n (* 1/2 K))) (* (cbrt (/ (+ m n) (/ 2 K))) (cbrt (/ (+ m n) (/ 2 K))))) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (pow (exp 1/3) (- (log 1/2) (+ (log K) (log m)))) (* (cbrt (* (/ K 2) (+ n m))) (cbrt (* (/ K 2) (+ n m))))) M)) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (pow (exp 1/3) (- (log 1/2) (+ (log K) (log m)))) (* (cbrt (* (/ K 2) (+ n m))) (cbrt (* (/ K 2) (+ 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 (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)))) (cos (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (56 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 (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)))) (sin (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)))) (cos M)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 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 (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)))) (sin M)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 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 (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (67 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 (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (67 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 (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M))) (cbrt (cos (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (68 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 (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (67 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 (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M)) (cos (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M))) (cos (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (70 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 (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (67 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 (- (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (67 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 (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (log (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (exp (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (* (/ K 2) (+ m n))) (cbrt (* (/ K 2) (+ m n))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (* (/ K 2) (+ m n))) (cbrt (* (/ K 2) (+ m n))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * * * * [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 (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * [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)) * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * [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)) * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (* K (+ m n)) 2))) (cbrt (cbrt (/ (* K (+ m n)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (/ K 2) (+ m n)))) (cbrt (cbrt (* (/ K 2) (+ m n))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (/ K 2) (+ m n)))) (cbrt (cbrt (* (/ K 2) (+ m n))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ K 2) (+ m n)) * [exit]simplify: Simplified to (* (/ K 2) (+ m n)) * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * * * * [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 (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (log (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (exp (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (* (/ K 2) (+ m n))) (cbrt (* (/ K 2) (+ m n))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (* (/ K 2) (+ m n))) (cbrt (* (/ K 2) (+ m n))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * * * * [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 (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * [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)) * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * [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)) * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (* K (+ m n)) 2))) (cbrt (cbrt (/ (* K (+ m n)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (/ K 2) (+ m n)))) (cbrt (cbrt (* (/ K 2) (+ m n))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (/ K 2) (+ m n)))) (cbrt (cbrt (* (/ K 2) (+ m n))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ K 2) (+ m n)) * [exit]simplify: Simplified to (* (/ K 2) (+ m n)) * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * * * * [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 (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (log (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (exp (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (* (/ K 2) (+ m n))) (cbrt (* (/ K 2) (+ m n))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (* (/ K 2) (+ m n))) (cbrt (* (/ K 2) (+ m n))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * * * * [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 (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [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)) * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [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)) * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (* K (+ m n)) 2))) (cbrt (cbrt (/ (* K (+ m n)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (/ K 2) (+ m n)))) (cbrt (cbrt (* (/ K 2) (+ m n))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (/ K 2) (+ m n)))) (cbrt (cbrt (* (/ K 2) (+ m n))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ K 2) (+ m n)) * [exit]simplify: Simplified to (* (/ K 2) (+ m n)) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) into (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) 1) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in K * [misc]taylor: Taking taylor expansion of (* m K) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (+ (* m 1) (* 0 0)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in K * [misc]taylor: Taking taylor expansion of (* n K) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M)))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 n) (* 1/2 m)) (/ 1 K)) into (* (+ (* 1/2 n) (* 1/2 m)) K) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 n) (* 1/2 m)) K) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 n) (* 1/2 m)) 1) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) * [misc]backup-simplify: Simplify (/ (* 1/2 m) (/ 1 K)) into (* 1/2 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* m K)) (- M)) into (- (* 1/2 (* m K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* m K)) M)) into (cos (- (* 1/2 (* m K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* m K)) M)) into (sin (- (* 1/2 (* m K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (/ (* 1/2 n) (/ 1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (/ (* 1/2 n) (/ 1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (* n K)) M)) 1) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (* n K)) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (* n K)) M)) 0) into (cos (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (* n K)) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 (/ 1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ 1 K))))) into (* 1/2 K) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* M (/ 0 (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (* n K)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K))) into (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)))) into (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- (* 1/2 (* n K)) M)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- (* 1/2 (* n K)) M)) K) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) K) into (* (sin (- M)) K) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) K)) into (* 1/2 (* (sin (- M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) K))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) K) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (- M)) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) K))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (- M)) K)))) into (- (* 1/2 (* (sin (- M)) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) K) in K * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (* n K)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ 1 K))) (* (* 1/2 K) (/ 0 (/ 1 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* M (/ 0 (/ 1 M))) (* 0 (/ 0 (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (* n K)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) 0) into (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- (* 1/2 (* n K)) M)) (pow K 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- (* 1/2 (* n K)) M)) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* n K)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* n K)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log K))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log K)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (* 2 (log K)) into (* 2 (log K)) * [misc]backup-simplify: Simplify (exp (* 2 (log K))) into (pow K 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow K 2)) into (* (cos (- M)) (pow K 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow K 2))) into (* 1/8 (* (cos (- M)) (pow K 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow K 2)))) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos (- M)) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (- M)) K))) into (* 1/2 (* (cos (- M)) K)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* (* 1/2 (* (cos (- M)) K)) K)) into (* 1/2 (* (cos (- M)) (pow K 2))) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (* (cos (- M)) (pow K 2)))) (* 0 (* (sin (- M)) K))) into (* 1/4 (* (cos (- M)) (pow K 2))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (cos (- M)) (pow K 2)))) into (- (* 1/4 (* (cos (- M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (cos (- M)) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (- M)) (pow K 2)))) 0) into (- (* 1/8 (* (cos (- M)) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M))))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ (* -1/2 m) (* -1/2 n)) into (- (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (/ (- (+ (* 1/2 n) (* 1/2 m))) (/ -1 K)) into (* (+ (* 1/2 n) (* 1/2 m)) K) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 n) (* 1/2 m)) K) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ (* -1/2 m) (* -1/2 n)) into (- (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (/ (- (+ (* 1/2 n) (* 1/2 m))) -1) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]backup-simplify: Simplify (- (* -1 M)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ (* -1/2 m) 0) into (- (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 m)) (/ -1 K)) into (* 1/2 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]backup-simplify: Simplify (- (* -1 M)) into M * [misc]backup-simplify: Simplify (+ (* 1/2 (* m K)) M) into (+ M (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (cos (+ M (* 1/2 (* m K)))) into (cos (+ M (* 1/2 (* m K)))) * [misc]backup-simplify: Simplify (sin (+ M (* 1/2 (* m K)))) into (sin (+ M (* 1/2 (* m K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 n)) (/ -1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]backup-simplify: Simplify (- (* -1 M)) into M * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) M) into (+ M (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ M (* 1/2 (* n K)))) into (cos (+ M (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ M (* 1/2 (* n K)))) into (sin (+ M (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 n)) (/ -1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]backup-simplify: Simplify (- (* -1 M)) into M * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) M) into (+ M (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ M (* 1/2 (* n K)))) into (cos (+ M (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ M (* 1/2 (* n K)))) into (sin (+ M (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (* (cos (+ M (* 1/2 (* n K)))) 1) into (cos (+ M (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (* (sin (+ M (* 1/2 (* n K)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ M (* 1/2 (* n K)))) 0) into (cos (+ M (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (+ M (* 1/2 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (+ M (* 1/2 (* n K))) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 1) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos M) 0) into (cos M) * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 1) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos M) 0) into (cos M) * [misc]taylor: Taking taylor expansion of (cos M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ M (* 1/2 (* n K)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ -1 K))))) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 M) (/ 0 (/ -1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (+ M (* 1/2 (* n K)))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K))) into (- (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K)))) into (- (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (+ M (* 1/2 (* n K)))) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (+ M (* 1/2 (* n K)))) K) in n * [misc]taylor: Taking taylor expansion of (sin (+ M (* 1/2 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (+ M (* 1/2 (* n K))) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* (sin M) K) into (* K (sin M)) * [misc]backup-simplify: Simplify (* 1/2 (* K (sin M))) into (* 1/2 (* K (sin M))) * [misc]backup-simplify: Simplify (- (* 1/2 (* K (sin M)))) into (- (* 1/2 (* K (sin M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K (sin M)))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin M))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin M)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* 0 (sin M)) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin M) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin M))) * [misc]backup-simplify: Simplify (- (* 1/2 (* K (sin M)))) into (- (* 1/2 (* K (sin M)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* K (sin M))))) into (- (* 1/2 (* K (sin M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K (sin M)))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin M))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin M)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* 0 (sin M)) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (+ M (* 1/2 (* n K)))) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (pow K 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ -1 K))) (* (* 1/2 K) (/ 0 (/ -1 K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 M) (/ 0 (/ -1 M))) (* 0 (/ 0 (/ -1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ M (* 1/2 (* n K)))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (pow K 2)))) 0) into (- (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (pow K 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (+ M (* 1/2 (* n K)))) (pow K 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (+ M (* 1/2 (* n K)))) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (cos (+ M (* 1/2 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (+ M (* 1/2 (* n K))) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log K))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log K)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (* 2 (log K)) into (* 2 (log K)) * [misc]backup-simplify: Simplify (exp (* 2 (log K))) into (pow K 2) * [misc]backup-simplify: Simplify (* (cos M) 1) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos M) 0) into (cos M) * [misc]backup-simplify: Simplify (* (cos M) (pow K 2)) into (* (cos M) (pow K 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos M) (pow K 2))) into (* 1/8 (* (cos M) (pow K 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos M) (pow K 2)))) into (- (* 1/8 (* (cos M) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos M) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos M) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos M) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos M) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos M) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos M) K))) into (* 1/2 (* (cos M) K)) * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* (* 1/2 (* (cos M) K)) K)) into (* 1/2 (* (cos M) (pow K 2))) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (* (cos M) (pow K 2)))) (* 0 (* K (sin M)))) into (* 1/4 (* (cos M) (pow K 2))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (cos M) (pow K 2)))) into (- (* 1/4 (* (cos M) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (cos M) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos M) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos M) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos M) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos M) (pow K 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos M) (pow K 2)))) 0) into (- (* 1/8 (* (cos M) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos M) (pow K 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos M) (pow K 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos M) (pow K 2)) in K * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin M))) into (sin M) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin M)) (* 0 0)) into (* 1/2 (sin M)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin M))) into (- (* 1/2 (sin M))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin M))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin M)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin M))) into (sin M) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin M)) (* 0 0)) into (* 1/2 (sin M)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin M))) into (- (* 1/2 (sin M))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin M))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin M)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) 1) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ 1 n)) K) (+ (* (/ 1/2 K) (/ 0 K)))) into (* 1/2 (/ 1 (* n K))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* (* 1/2 (/ 1 (* n K))) (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* (* 1/2 (/ 1 (* n K))) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 K) (* 1 (/ 1 m)))) (* 1/2 (* (/ 1 K) (* (/ 1 n) 1)))) into (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 n) (* 1/2 m)) 1) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) * [misc]backup-simplify: Simplify (/ (* 1/2 m) (/ 1 K)) into (* 1/2 (* m K)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (/ (* 1/2 n) (/ 1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (/ (* 1/2 n) (/ 1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 (/ 1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ 1 K))))) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ 1 K))) (* (* 1/2 K) (/ 0 (/ 1 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 K) (* (/ 1 n) 1))) (* 1/2 (* (/ 1 K) (* 1 (/ 1 m))))) into (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ (* -1/2 m) (* -1/2 n)) into (- (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (/ (- (+ (* 1/2 n) (* 1/2 m))) -1) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ (* -1/2 m) 0) into (- (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 m)) (/ -1 K)) into (* 1/2 (* m K)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 n)) (/ -1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 n)) (/ -1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ -1 K))))) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ -1 K))) (* (* 1/2 K) (/ 0 (/ -1 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 (- K)) (* (/ 1 (- n)) 1))) (* 1/2 (* (/ 1 (- K)) (* 1 (/ 1 (- m)))))) into (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]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 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) 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 (+ (* 1/2 (* 1 (/ 1 m))) (* 1/2 (* (/ 1 n) 1))) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]approximate: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (+ (* 1/2 0) (+ (* 0 1) (* 0 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 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 n) 1)) (* 1/2 (* 1 (/ 1 m)))) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]approximate: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 n)) into (- (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n)) 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]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 (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (+ (* 1/2 0) (+ (* 0 1) (* 0 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) 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 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (/ 1 (- n)) 1)) (* -1/2 (* 1 (/ 1 (- m))))) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) into (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) 1) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1/2 m) into (/ 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 m) (/ 1/2 n)) K) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 m) (/ 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ 1 n)) K) (+ (* (/ 1/2 K) (/ 0 K)))) into (* 1/2 (/ 1 (* n K))) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (* n K))) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* n K))) (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* n K))) (/ 1 M)) in n * [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 (+ (/ 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 (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* (* 1/2 (/ 1 (* n K))) (/ 0 K)))) into 0 * [misc]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 (+ (* 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 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (- (/ 0 1) (+ (* 1/2 (/ 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* (* 1/2 (/ 1 (* n K))) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]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 n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 * [misc]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 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 M) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* (/ 1 K) (* 1 (/ 1 m))))) (* 1/2 (* 1 (* (/ 1 K) (* (/ 1 n) 1)))))) into (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) * [misc]approximate: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 n) (* 1/2 m)) (/ 1 K)) into (* (+ (* 1/2 n) (* 1/2 m)) K) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 n) (* 1/2 m)) 1) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 m)) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) * [misc]backup-simplify: Simplify (/ (* 1/2 m) (/ 1 K)) into (* 1/2 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (/ (* 1/2 n) (/ 1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) (/ 1 (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 m)) (/ 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (/ (* 1/2 n) (/ 1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (/ 1 (/ 1 M)) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]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]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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 (/ 1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ 1 K))))) into (* 1/2 K) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* M (/ 0 (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 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 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]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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ 1 K))) (* (* 1/2 K) (/ 0 (/ 1 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* M (/ 0 (/ 1 M))) (* 0 (/ 0 (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (+ (* 1/2 0) (* 0 K)) 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 (+ (* 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]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 (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* (/ 1 K) (* (/ 1 n) 1)))) (+ (* 1/2 (* 1 (* (/ 1 K) (* 1 (/ 1 m))))) (* -1 (* (/ 1 M) (* 1 (* 1 1)))))) into (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) * [misc]approximate: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ (* -1/2 m) (* -1/2 n)) into (- (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (/ (- (+ (* 1/2 n) (* 1/2 m))) (/ -1 K)) into (* (+ (* 1/2 n) (* 1/2 m)) K) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ (* -1/2 m) (* -1/2 n)) into (- (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (/ (- (+ (* 1/2 n) (* 1/2 m))) -1) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 m)) into (* -1/2 m) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ (* -1/2 m) 0) into (- (* 1/2 m)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 m)) (/ -1 K)) into (* 1/2 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 n)) (/ -1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) (/ 1 (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1/2 (/ 1 (- m))) (/ 1/2 (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 n)) (/ -1 K)) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (/ 1 (/ -1 M)) into (* -1 M) * [misc]backup-simplify: Simplify (- (* -1 M)) into M * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) M) into (+ M (* 1/2 (* n K))) * [misc]taylor: Taking taylor expansion of (+ M (* 1/2 (* n K))) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/2 (* n K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]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 (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ -1 K))))) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 M) (/ 0 (/ -1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 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 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) * [misc]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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/2 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 K)) (+ (* (* 1/2 (* n K)) (/ 0 (/ -1 K))) (* (* 1/2 K) (/ 0 (/ -1 K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 M) (/ 0 (/ -1 M))) (* 0 (/ 0 (/ -1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (+ (* 1/2 0) (* 0 K)) 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 (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* (/ 1 (- K)) (* (/ 1 (- n)) 1)))) (+ (* 1/2 (* 1 (* (/ 1 (- K)) (* 1 (/ 1 (- m)))))) (* 1 (* (/ 1 (- M)) (* 1 (* 1 1)))))) into (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 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) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (exp (- (- (- l (fabs (- m n)))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (127 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: [ 8 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (127 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: [ 9 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (/ (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (127 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: [ 10 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (- (+ (* 1/2 (/ 1 (* K m))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (exp (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (- (/ 1 M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (* (cos (/ 1 M)) (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (* (cos (/ 1 M)) (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [enter]simplify: Simplifying (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (sin (- (/ 1 M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (* (- (sin (/ 1 M))) (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cos (/ 1 M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cos (/ 1 M))) * [exit]simplify: Simplified to (* (cos (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cos (/ 1 M))) * [enter]simplify: Simplifying (* (sin (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (sin (/ 1 M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (sin (/ 1 M))) * [exit]simplify: Simplified to (* (sin (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (sin (/ 1 M))) * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (log (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [exit]simplify: Simplified to (log (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (exp (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [exit]simplify: Simplified to (exp (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) (cbrt (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))))) * [exit]simplify: Simplified to (* (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [exit]simplify: Simplified to (cbrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (pow (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) 3) * [exit]simplify: Simplified to (pow (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) 3) * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [exit]simplify: Simplified to (sqrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [exit]simplify: Simplified to (sqrt (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [exit]simplify: Simplified to (log (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [exit]simplify: Simplified to (exp (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (cbrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cbrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (cbrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [enter]simplify: Simplifying (cbrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (pow (/ (+ (/ 1/2 n) (/ 1/2 m)) K) 3) * [exit]simplify: Simplified to (pow (/ (+ (/ 1/2 n) (/ 1/2 m)) K) 3) * * * * [misc]progress: [ 27 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [enter]simplify: Simplifying (sqrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (- (+ (/ 1/2 n) (/ 1/2 m))) * [enter]simplify: Simplifying (- K) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- K) * [exit]simplify: Simplified to (- K) * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 K) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 K) * [exit]simplify: Simplified to (/ 1 K) * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ K (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ K (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (/ K (+ (/ 1/2 n) (/ 1/2 m))) * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ K (cbrt (+ (/ 1/2 m) (/ 1/2 n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ K (cbrt (+ (/ 1/2 n) (/ 1/2 m)))) * [exit]simplify: Simplified to (/ K (cbrt (+ (/ 1/2 n) (/ 1/2 m)))) * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ K (sqrt (+ (/ 1/2 m) (/ 1/2 n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ K (sqrt (+ (/ 1/2 n) (/ 1/2 m)))) * [exit]simplify: Simplified to (/ K (sqrt (+ (/ 1/2 n) (/ 1/2 m)))) * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ K (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ K (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (/ K (+ (/ 1/2 n) (/ 1/2 m))) * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ K (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ K (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (/ K (+ (/ 1/2 n) (/ 1/2 m))) * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ K (+ (/ 1 m) (/ 1 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ K (+ (/ 1 n) (/ 1 m))) * [exit]simplify: Simplified to (/ K (+ (/ 1 n) (/ 1 m))) * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (* m n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (* K n) m) * [exit]simplify: Simplified to (* (* K n) m) * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (+ (* (/ 1/2 m) (/ 1/2 m)) (- (* (/ 1/2 n) (/ 1/2 n)) (* (/ 1/2 m) (/ 1/2 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (+ (* K (* (/ 1/2 m) (/ 1/2 m))) (* (* K (/ 1/2 n)) (- (/ 1/2 n) (/ 1/2 m)))) * [exit]simplify: Simplified to (+ (* K (* (/ 1/2 m) (/ 1/2 m))) (* (* K (/ 1/2 n)) (- (/ 1/2 n) (/ 1/2 m)))) * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (- (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* K (- (/ 1/2 m) (/ 1/2 n))) * [exit]simplify: Simplified to (* K (- (/ 1/2 m) (/ 1/2 n))) * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ 1/2 m)) (exp (/ 1/2 n))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (exp (+ (/ 1/2 m) (/ 1/2 n))) * [exit]simplify: Simplified to (exp (+ (/ 1/2 m) (/ 1/2 n))) * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (log (+ (/ 1/2 n) (/ 1/2 m))) * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (exp (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (exp (+ (/ 1/2 n) (/ 1/2 m))) * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ 1/2 m) (/ 1/2 n))) (cbrt (+ (/ 1/2 m) (/ 1/2 n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1/2 n) (/ 1/2 m))) (cbrt (+ (/ 1/2 n) (/ 1/2 m)))) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1/2 n) (/ 1/2 m))) (cbrt (+ (/ 1/2 n) (/ 1/2 m)))) * [enter]simplify: Simplifying (cbrt (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (cbrt (+ (/ 1/2 n) (/ 1/2 m))) * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ 1/2 m) (/ 1/2 n)) (+ (/ 1/2 m) (/ 1/2 n))) (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1/2 n) (/ 1/2 m)) 3) * [exit]simplify: Simplified to (pow (+ (/ 1/2 n) (/ 1/2 m)) 3) * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (sqrt (+ (/ 1/2 n) (/ 1/2 m))) * [enter]simplify: Simplifying (sqrt (+ (/ 1/2 m) (/ 1/2 n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1/2 n) (/ 1/2 m))) * [exit]simplify: Simplified to (sqrt (+ (/ 1/2 n) (/ 1/2 m))) * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 n) (* m 1/2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* 1/2 (+ m n)) * [exit]simplify: Simplified to (* 1/2 (+ m n)) * [enter]simplify: Simplifying (* m n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* n m) * [exit]simplify: Simplified to (* n m) * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ 1/2 m) 3) (pow (/ 1/2 n) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (+ (pow (/ 1/2 n) 3) (pow (/ 1/2 m) 3)) * [exit]simplify: Simplified to (+ (pow (/ 1/2 n) 3) (pow (/ 1/2 m) 3)) * [enter]simplify: Simplifying (+ (* (/ 1/2 m) (/ 1/2 m)) (- (* (/ 1/2 n) (/ 1/2 n)) (* (/ 1/2 m) (/ 1/2 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (- (* (/ 1/2 n) (/ 1/2 n)) (* (/ 1/2 m) (- (/ 1/2 n) (/ 1/2 m)))) * [exit]simplify: Simplified to (- (* (/ 1/2 n) (/ 1/2 n)) (* (/ 1/2 m) (- (/ 1/2 n) (/ 1/2 m)))) * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1/2 m) (/ 1/2 m)) (* (/ 1/2 n) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (+ (/ 1/2 m) (/ 1/2 n)) (- (/ 1/2 m) (/ 1/2 n))) * [exit]simplify: Simplified to (* (+ (/ 1/2 m) (/ 1/2 n)) (- (/ 1/2 m) (/ 1/2 n))) * [enter]simplify: Simplifying (- (/ 1/2 m) (/ 1/2 n)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (/ 1/2 m) (/ 1/2 n)) * [exit]simplify: Simplified to (- (/ 1/2 m) (/ 1/2 n)) * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1/2 m) (/ 1/2 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (/ 1/2 n) (/ 1/2 m)) * [exit]simplify: Simplified to (+ (/ 1/2 n) (/ 1/2 m)) * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 m) (/ 1 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 n) (/ 1 m)) * [exit]simplify: Simplified to (+ (/ 1 n) (/ 1 m)) * * * * [misc]progress: [ 53 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (exp (/ 1 M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (exp (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [exit]simplify: Simplified to (exp (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (log (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [exit]simplify: Simplified to (log (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (exp (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [exit]simplify: Simplified to (exp (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (cbrt (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (cbrt (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) (cbrt (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)))) * [enter]simplify: Simplifying (cbrt (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [exit]simplify: Simplified to (cbrt (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (pow (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)) 3) * [exit]simplify: Simplified to (pow (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)) 3) * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [exit]simplify: Simplified to (sqrt (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [enter]simplify: Simplifying (sqrt (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [exit]simplify: Simplified to (sqrt (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (/ 1/2 m) (/ 1/2 n)) M) (* K 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (* 1/2 (+ (/ M n) (/ M m))) K) * [exit]simplify: Simplified to (- (* 1/2 (+ (/ M n) (/ M m))) K) * [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) * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ (+ (/ 1/2 m) (/ 1/2 n)) K) 3) (pow (/ 1 M) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (- (pow (/ (+ (/ 1/2 n) (/ 1/2 m)) K) 3) (/ (/ 1 M) (* M M))) * [exit]simplify: Simplified to (- (pow (/ (+ (/ 1/2 n) (/ 1/2 m)) K) 3) (/ (/ 1 M) (* M M))) * [enter]simplify: Simplifying (+ (* (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (+ (* (/ 1 M) (/ 1 M)) (* (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (+ (+ (/ (+ (/ 1/2 m) (/ 1/2 n)) (/ K (/ 1 M))) (* (/ 1 M) (/ 1 M))) (* (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ (+ (/ 1/2 m) (/ 1/2 n)) K))) * [exit]simplify: Simplified to (+ (+ (/ (+ (/ 1/2 m) (/ 1/2 n)) (/ K (/ 1 M))) (* (/ 1 M) (/ 1 M))) (* (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ (+ (/ 1/2 m) (/ 1/2 n)) K))) * * * * [misc]progress: [ 63 / 68 ] 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: [ 64 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (* (/ 1 M) (/ 1 M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (* (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)) (+ (/ 1 M) (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [exit]simplify: Simplified to (* (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)) (+ (/ 1 M) (/ (+ (/ 1/2 n) (/ 1/2 m)) K))) * [enter]simplify: Simplifying (+ (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (/ 1 M) (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * [exit]simplify: Simplified to (+ (/ 1 M) (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) * * * * [misc]progress: [ 66 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (sqrt (/ 1 M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (sqrt (/ 1 M))) * [exit]simplify: Simplified to (+ (sqrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (sqrt (/ 1 M))) * [enter]simplify: Simplifying (- (sqrt (/ (+ (/ 1/2 m) (/ 1/2 n)) K)) (sqrt (/ 1 M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (- (sqrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (sqrt (/ 1 M))) * [exit]simplify: Simplified to (- (sqrt (/ (+ (/ 1/2 n) (/ 1/2 m)) K)) (sqrt (/ 1 M))) * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)) * [exit]simplify: Simplified to (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)) * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)) * [exit]simplify: Simplified to (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (/ (* K (+ m n)) 2) M) -2.1780350068345573e+304) #s(sp 1 (- (/ (* K (+ m n)) 2) M) 3.0970790600414114e+299) #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) -2.1780350068345573e+304)) (#s(sp 1 (- (/ (* K (+ m n)) 2) M) 3.0970790600414114e+299) . #s(sp 0 (- (/ (* K (+ m n)) 2) M) +inf.0))) * [misc]splitpoints: intervals are: ((#s(sp 0 (- (/ (* K (+ m n)) 2) M) -2.1780350068345573e+304) . #s(sp 1 (- (/ (* K (+ m n)) 2) M) 3.0970790600414114e+299))) * [enter]simplify: Simplifying (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [exit]simplify: Simplified to (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [enter]simplify: Simplifying (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [enter]simplify: Simplifying (cos (- (/ (+ (/ 1/2 m) (/ 1/2 n)) K) (/ 1 M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [exit]simplify: Simplified to (cos (- (/ (+ (/ 1/2 n) (/ 1/2 m)) K) (/ 1 M))) * [enter]simplify: Simplifying (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n))))) * [enter]simplify: Simplifying (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)) * [enter]simplify: Simplifying (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (cbrt (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n)))