* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 25 additional inputs, on iter 1 have 231 / 256 * * * * [misc]points: Computing exacts for 25 points * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [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 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [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 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M)))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) 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 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 n) (* 1/2 m))) into (log (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) into (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 n) (* 1/2 m))))) into (pow (+ (* 1/2 n) (* 1/2 m)) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 m) M)) into (log (- (* 1/2 m) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 m) M))) into (* 2 (log (- (* 1/2 m) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 m) M)))) into (pow (- (* 1/2 m) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (* 1/2 n) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (* 1/2 n) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 n) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (log (- M)) into (log (- M)) * [misc]backup-simplify: Simplify (* 2 (log (- M))) into (* 2 (log (- M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- M)))) into (pow (- M) 2) * [misc]taylor: Taking taylor expansion of (pow (- M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (* 2 (+ (log M) (log -1))) into (* 2 (+ (log M) (log -1))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- (* 1/2 n) M) 1)))) 1) into (/ 1/2 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M)))) into (/ 1 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 1) 1)))) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- M) 1)))) 1) into (/ -1/2 M) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/2 M)) (* 0 (log (- M)))) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- M)))) (+ (* (/ (pow (- (/ 1 M)) 1) 1)))) into (* -1 M) * [misc]taylor: Taking taylor expansion of (* -1 M) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log M) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log M) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (- (* 1/2 n) M) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 n) M) 1)))) 2) into (/ -1/8 (pow (- (* 1/2 n) M) 2)) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/8 (pow (- (* 1/2 n) M) 2))) (+ (* 0 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M))))) into (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) 1) 1)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n m))) (+ (* 1/4 (pow (* 1 (* 1 m)) 2)) (exp (* 2 (+ (log M) (log -1)))))) into (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m)))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) (log -1)) into (- (log -1) (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log M))) into (* 2 (- (log -1) (log M))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log M)))) into (exp (* 2 (- (log -1) (log M)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 1/2)) into (- (log 1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log n))) into (* 2 (- (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log n)))) into (exp (* 2 (- (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 1)) (pow 1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* (- (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m)))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (* 4 (/ 1 M))) 0) (* (* 4 (/ 1 (pow M 2))) (exp (* 2 (- (log 1/2) (log m))))))) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (- (* 4 (/ 1 M))) 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log (/ 1 m))))) into (exp (* 2 (- (log 1/2) (log (/ 1 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 (/ 1 (- m)))))) into (exp (* 2 (- (log -1/2) (log (/ -1 m))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (* K (+ m n)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* n (* 1 K))) (* 1 (* 1 (* m K)))) into (+ (* m K) (* n K)) * [misc]approximate: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* m K) (* n K)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* m K) (* n K)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 n) (* 1/2 m)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 n) 0) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n (* 1 K)))) (+ (* 1/2 (* 1 (* 1 (* m K)))) (* -1 (* M (* 1 (* 1 1)))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M) * [misc]approximate: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K)))))) (* 1/2 (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M) * [misc]approximate: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 0 (/ 1 M)) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K))))))) (* 1/2 (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (expm1 (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (expm1 (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (log1p (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (log1p (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 3 / 74 ] 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 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 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 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (66 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: [ 4 / 74 ] 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 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 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 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (66 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: [ 5 / 74 ] 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 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 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 (/ (* 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 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 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: [ 6 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (log (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (log (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (exp (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (exp (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 9 / 74 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) (cbrt (cos (fma (/ K 2) (+ m n) (- M))))) * [exit]simplify: Simplified to (* (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) (cbrt (cos (fma (/ K 2) (+ m n) (- M))))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 10 / 74 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (pow (cos (fma (+ m n) (/ K 2) (- M))) 3) * [exit]simplify: Simplified to (pow (cos (fma (+ m n) (/ K 2) (- M))) 3) * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (sqrt (cos (fma (/ K 2) (+ m n) (- M)))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (sqrt (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (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 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (expm1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (expm1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (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 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (log1p (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (log1p (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 17 / 74 ] 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: [ 18 / 74 ] 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 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 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)) * [enter]simplify: Simplifying (pow (cbrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 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: [ 19 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 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 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * * * * [misc]progress: [ 20 / 74 ] 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 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (270 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: [ 21 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (273 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: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (22 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (420 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: [ 25 / 74 ] 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 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 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 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 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: [ 26 / 74 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * [exit]simplify: Simplified to (* (pow (- (/ (+ n m) 2) M) 3) (pow (- (/ (+ n m) 2) M) 3)) * [exit]simplify: Simplified to (* (pow (- (/ (+ n m) 2) M) 3) (pow (- (/ (+ n m) 2) M) 3)) * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 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 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (expm1 (* (+ m n) K)) * [exit]simplify: Simplified to (expm1 (* (+ m n) K)) * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (log1p (* (+ m n) K)) * [exit]simplify: Simplified to (log1p (* (+ m n) K)) * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 74 ] 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 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (log (* (+ m n) K)) * [exit]simplify: Simplified to (log (* (+ m n) K)) * * * * [misc]progress: [ 33 / 74 ] 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 (26 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (exp K) (+ m n)) * [exit]simplify: Simplified to (pow (exp K) (+ m n)) * * * * [misc]progress: [ 34 / 74 ] 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 (19 enodes) * * [misc]simplify: iters left: 3 (21 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 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * * * * [misc]progress: [ 35 / 74 ] 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 (22 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (pow (* (+ m n) K) 3) * [exit]simplify: Simplified to (pow (* (+ m n) K) 3) * * * * [misc]progress: [ 36 / 74 ] 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 (18 enodes) * * [misc]simplify: iters left: 2 (20 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 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 74 ] 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: [ 39 / 74 ] 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: [ 40 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 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: [ 41 / 74 ] 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: [ 42 / 74 ] 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: [ 43 / 74 ] 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 (46 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (fma (* n n) (* K n) (* (* m K) (* m m))) * [exit]simplify: Simplified to (fma (* n n) (* K n) (* (* m K) (* m m))) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (- (* m m) (* n n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (* (* (- m n) (+ n m)) K) * [exit]simplify: Simplified to (* (* (- m n) (+ n m)) K) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (expm1 (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (expm1 (fma (/ K 2) (+ m n) (- M))) * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log1p (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (log1p (fma (/ K 2) (+ m n) (- M))) * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (log (fma (/ K 2) (+ m n) (- M))) * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (exp (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (exp (fma (/ K 2) (+ m n) (- M))) * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ (* K (+ m n)) 2) M)) (cbrt (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ K 2) (+ m n) (- M))) (cbrt (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (* (cbrt (fma (/ K 2) (+ m n) (- M))) (cbrt (fma (/ K 2) (+ m n) (- M)))) * [enter]simplify: Simplifying (cbrt (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (cbrt (fma (/ K 2) (+ m n) (- M))) * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ (* K (+ m n)) 2) M) (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * [exit]simplify: Simplified to (pow (fma (/ K 2) (+ m n) (- M)) 3) * [exit]simplify: Simplified to (pow (fma (/ K 2) (+ m n) (- M)) 3) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (sqrt (fma (/ K 2) (+ m n) (- M))) * [enter]simplify: Simplifying (sqrt (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (sqrt (fma (/ K 2) (+ m n) (- M))) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ (* K (+ m n)) 2) 3) (pow M 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (fma (* (* (/ K 2) (+ m n)) (* (/ K 2) (+ m n))) (* (/ K 2) (+ m n)) (* (* M M) (- M))) * [exit]simplify: Simplified to (fma (* (* (/ K 2) (+ m n)) (* (/ K 2) (+ m n))) (* (/ K 2) (+ m n)) (* (* M M) (- M))) * [enter]simplify: Simplifying (+ (* (/ (* K (+ m n)) 2) (/ (* K (+ m n)) 2)) (+ (* M M) (* (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (fma (* (+ m n) (/ K 2)) M (fma (* (+ m n) (/ K 2)) (* (+ m n) (/ K 2)) (* M M))) * [exit]simplify: Simplified to (fma (* (+ m n) (/ K 2)) M (fma (* (+ m n) (/ K 2)) (* (+ m n) (/ K 2)) (* M M))) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (* K (+ m n)) 2) (/ (* K (+ m n)) 2)) (* M M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * [exit]simplify: Simplified to (fma (* (+ m n) (/ K 2)) (* (+ m n) (/ K 2)) (* M (- M))) * [exit]simplify: Simplified to (fma (* (+ m n) (/ K 2)) (* (+ m n) (/ K 2)) (* M (- M))) * [enter]simplify: Simplifying (+ (/ (* K (+ m n)) 2) M) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma (/ K 2) (+ m n) M) * [exit]simplify: Simplified to (fma (/ K 2) (+ m n) M) * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 63 / 74 ] 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 (35 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 64 / 74 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* 1/2 K) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 65 / 74 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* 1/2 K) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 66 / 74 ] 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 (80 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (+ (fma m (fma 1/4 m (* n 1/2)) (* (* M -1) (* M -1))) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (exp (* 2 (- (log 1/2) (log (/ 1 m)))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (- (fma (* 1/2 m) (* 1/2 m) l) (fabs (- m n))))) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (exp (* 2 (- (log -1/2) (log (/ -1 m)))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (exp (fma (/ (- -1/2) (/ -1 m)) (/ -1/2 (/ -1 m)) (fabs (- m n)))) (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp l))) * * * * [misc]progress: [ 69 / 74 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 70 / 74 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 71 / 74 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 72 / 74 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* 1/2 K) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 73 / 74 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* 1/2 K) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 74 / 74 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* 1/2 K) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] 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 (/ 1 m))))) into (exp (* 2 (- (log 1/2) (log (/ 1 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 (/ 1 (- m)))))) into (exp (* 2 (- (log -1/2) (log (/ -1 m))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in l * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in l * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in l * [misc]taylor: Taking taylor expansion of (+ m n) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) (- M)) into (- (+ (* 1/2 n) (* 1/2 m)) M) * [misc]backup-simplify: Simplify (log (- (+ (* 1/2 n) (* 1/2 m)) M)) into (log (- (+ (* 1/2 n) (* 1/2 m)) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (+ (* 1/2 n) (* 1/2 m)) M))) into (* 2 (log (- (+ (* 1/2 n) (* 1/2 m)) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (+ (* 1/2 n) (* 1/2 m)) M)))) into (pow (- (+ (* 1/2 n) (* 1/2 m)) M) 2) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 n) (* 1/2 m))) into (log (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) into (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 n) (* 1/2 m))))) into (pow (+ (* 1/2 n) (* 1/2 m)) 2) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 m) M)) into (log (- (* 1/2 m) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 m) M))) into (* 2 (log (- (* 1/2 m) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 m) M)))) into (pow (- (* 1/2 m) M) 2) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (pow (- (* 1/2 n) M) 2)) into (- (* M n) (+ (* 1/4 (pow n 2)) (pow M 2))) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]backup-simplify: Simplify (- (- l (fabs (- m n)))) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (+ (- (* M n) (+ (* 1/4 (pow n 2)) (pow M 2))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (* M n)) (+ l (+ (* 1/4 (pow n 2)) (pow M 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ l (+ (* 1/4 (pow n 2)) (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (fabs (- m n)) (* M n)) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ l (+ (* 1/4 (pow n 2)) (pow M 2))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (pow n 2)) (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (+ 0 (pow M 2)) into (pow M 2) * [misc]backup-simplify: Simplify (+ l (pow M 2)) into (+ l (pow M 2)) * [misc]backup-simplify: Simplify (- (+ l (pow M 2))) into (- (+ l (pow M 2))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ l (pow M 2)))) into (- (fabs (- m n)) (+ l (pow M 2))) * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ l (pow M 2))) in M * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (+ l (pow M 2)) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (+ l 0) into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- l)) into (- (fabs (- m n)) l) * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) l) in l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- (* 1/2 n) M) 1)))) 1) into (/ 1/2 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M)))) into (/ 1 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 1) 1)))) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (- (- (* 1/2 n) M)) into (- M (* 1/2 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- M (* 1/2 n)) 0) into (- M (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- M (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow M 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log M))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (- (* 1/2 n) M) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 n) M) 1)))) 2) into (/ -1/8 (pow (- (* 1/2 n) M) 2)) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/8 (pow (- (* 1/2 n) M) 2))) (+ (* 0 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M))))) into (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) 1) 1)))) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in n * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in M * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in l * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (+ (* -1 (* l (* 1 (* 1 1)))) (fabs (- m n)))) into (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))) * [misc]approximate: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in l * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in l * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in l * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) (- (/ 1 M))) into (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) * [misc]backup-simplify: Simplify (log (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))) into (log (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))) * [misc]backup-simplify: Simplify (* 2 (log (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)))) into (* 2 (log (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M))))) into (pow (- (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) (/ 1 M)) 2) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) (log -1)) into (- (log -1) (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log M))) into (* 2 (- (log -1) (log M))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log M)))) into (exp (* 2 (- (log -1) (log M)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 1/2)) into (- (log 1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log n))) into (* 2 (- (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log n)))) into (exp (* 2 (- (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (- (exp (* 2 (- (log 1/2) (log m))))) into (- (exp (* 2 (- (log 1/2) (log m))))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (+ (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (- (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) into (- (fabs (- (/ 1 m) (/ 1 n))) (/ 1 l)) * [misc]backup-simplify: Simplify (+ (- (exp (* 2 (- (log 1/2) (log m))))) (- (fabs (- (/ 1 m) (/ 1 n))) (/ 1 l))) into (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) into (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) * [misc]backup-simplify: Simplify (- (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) into (- (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 m) (/ 1 n))) (- (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)))) into (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (/ 1 l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) into (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) * [misc]backup-simplify: Simplify (- (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) into (- (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 m) (/ 1 n))) (- (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)))) into (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log 1/2) (log m)))) (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in l * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in l * [misc]taylor: Taking taylor expansion of (log 1/2) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 1)) (pow 1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]backup-simplify: Simplify (- (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m)))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log 1/2) (log m)))) n))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log 1/2) (log m)))) n))) 0) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log 1/2) (log m)))) n))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log 1/2) (log m)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) M) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) M) into (/ (exp (* 2 (- (log 1/2) (log m)))) M) * [misc]taylor: Taking taylor expansion of (* 2 (/ (exp (* 2 (- (log 1/2) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) 0) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (log 1/2) (log m)))) 0) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (- (exp (* 2 (- (log 1/2) (log m))))) into (- (exp (* 2 (- (log 1/2) (log m))))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 m) (/ 1 n))) (- (exp (* 2 (- (log 1/2) (log m)))))) into (- (fabs (- (/ 1 m) (/ 1 n))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n))) (exp (* 2 (- (log 1/2) (log m))))) into (- (fabs (- (/ 1 m) (/ 1 n))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]backup-simplify: Simplify (- (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m)))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log 1/2) (log m)))) (pow n 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log 1/2) (log m)))) (pow n 2)))) 0) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log 1/2) (log m)))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log 1/2) (log m)))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (* M n)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) M) into (/ (exp (* 2 (- (log 1/2) (log m)))) M) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log 1/2) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) into (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log 1/2) (log m)))) M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) 0) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) * [misc]backup-simplify: Simplify (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log 1/2) (log m)))) M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into (* 1/6 (- (+ (* 2 (/ 1 (pow n 3))) (* 24 (/ 1 (* (pow M 2) n)))) (+ (* 16 (/ 1 (pow M 3))) (* 12 (/ 1 (* M (pow n 2))))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/6 (- (+ (* 2 (/ 1 (pow n 3))) (* 24 (/ 1 (* (pow M 2) n)))) (+ (* 16 (/ 1 (pow M 3))) (* 12 (/ 1 (* M (pow n 2)))))))) (+ (* 0 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m)))))) into (- (+ (* 2/3 (/ 1 (pow n 3))) (* 8 (/ 1 (* (pow M 2) n)))) (+ (* 16/3 (/ 1 (pow M 3))) (* 4 (/ 1 (* M (pow n 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1) (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)) (* (/ (pow (- (+ (* 2/3 (/ 1 (pow n 3))) (* 8 (/ 1 (* (pow M 2) n)))) (+ (* 16/3 (/ 1 (pow M 3))) (* 4 (/ 1 (* M (pow n 2)))))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log 1/2) (log m)))) M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (exp (* 2 (- (log 1/2) (log m)))) M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow M 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log M))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow M 2)) (+ (* (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) (/ 0 (pow M 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log 1/2) (log m)))) M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (exp (* 2 (- (log 1/2) (log m)))) M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (fabs (- (/ 1 (/ 1 m)) (/ 1 (/ 1 n)))) (exp (* 2 (- (log 1/2) (log (/ 1 m)))))) (* -1 (* (/ 1 (/ 1 l)) (* 1 (* 1 1))))) into (- (fabs (- m n)) (+ (exp (* 2 (- (log 1/2) (log (/ 1 m))))) l)) * [misc]approximate: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in l * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in l * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (/ 1 n) (/ 1 m))) (/ 1 M)) into (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) * [misc]backup-simplify: Simplify (log (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))) into (log (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))) * [misc]backup-simplify: Simplify (* 2 (log (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))))) into (* 2 (log (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))))))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m)))) 2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) 0) into (- (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log M))) into (* -2 (log M)) * [misc]backup-simplify: Simplify (exp (* -2 (log M))) into (pow M -2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in M * [misc]taylor: Taking taylor expansion of (- l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1/2)) into (- (log -1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log n))) into (* 2 (- (log -1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log n)))) into (exp (* 2 (- (log -1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in n * [misc]taylor: Taking taylor expansion of (- l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in m * [misc]taylor: Taking taylor expansion of (- l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in m * [misc]taylor: Taking taylor expansion of (- l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (exp (* 2 (- (log -1/2) (log m))))) into (- (exp (* 2 (- (log -1/2) (log m))))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (/ -1 l) (- (fabs (- (/ 1 n) (/ 1 m))))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) * [misc]backup-simplify: Simplify (- (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)))) into (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (- (exp (* 2 (- (log -1/2) (log m))))) (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m))))) into (- (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) (exp (* 2 (- (log -1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) (exp (* 2 (- (log -1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) into (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) * [misc]backup-simplify: Simplify (- (exp (* 2 (- (log -1/2) (log m))))) into (- (exp (* 2 (- (log -1/2) (log m))))) * [misc]backup-simplify: Simplify (+ (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) (- (exp (* 2 (- (log -1/2) (log m)))))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) (exp (* 2 (- (log -1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) (exp (* 2 (- (log -1/2) (log m))))) in M * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) into (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (- (exp (* 2 (- (log -1/2) (log m))))) into (- (exp (* 2 (- (log -1/2) (log m))))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) (- (exp (* 2 (- (log -1/2) (log m)))))) into (- (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) (exp (* 2 (- (log -1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) (exp (* 2 (- (log -1/2) (log m))))) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (fabs (- (/ 1 n) (/ 1 m)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in l * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in l * [misc]taylor: Taking taylor expansion of (log -1/2) in l * [misc]taylor: Taking taylor expansion of -1/2 in l * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 1)) (pow -1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) * [misc]backup-simplify: Simplify (- (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M))))) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log -1/2) (log m)))) n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log -1/2) (log m)))) n))) 0) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log -1/2) (log m)))) n))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) (* 2 (/ (exp (* 2 (- (log -1/2) (log m)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) M) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) M) into (/ (exp (* 2 (- (log -1/2) (log m)))) M) * [misc]taylor: Taking taylor expansion of (* 2 (/ (exp (* 2 (- (log -1/2) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) 0) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (fabs (- (/ 1 n) (/ 1 m)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (exp (* 2 (- (log -1/2) (log m))))) into (- (exp (* 2 (- (log -1/2) (log m))))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (- (exp (* 2 (- (log -1/2) (log m)))))) into (- (fabs (- (/ 1 n) (/ 1 m))) (exp (* 2 (- (log -1/2) (log m))))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m))) (exp (* 2 (- (log -1/2) (log m))))) into (- (fabs (- (/ 1 n) (/ 1 m))) (exp (* 2 (- (log -1/2) (log m))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) * [misc]backup-simplify: Simplify (- (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))))) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log -1/2) (log m)))) (pow n 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log -1/2) (log m)))) (pow n 2)))) 0) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log -1/2) (log m)))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (* M n))) (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log -1/2) (log m)))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (* M n)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) M) into (/ (exp (* 2 (- (log -1/2) (log m)))) M) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) (/ (exp (* 2 (- (log -1/2) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) into (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log -1/2) (log m)))) M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) 0) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) * [misc]backup-simplify: Simplify (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)))) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))))) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log -1/2) (log m)))) M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into (* 1/6 (- (+ (* 2 (/ 1 (pow n 3))) (* 24 (/ 1 (* (pow M 2) n)))) (+ (* 16 (/ 1 (pow M 3))) (* 12 (/ 1 (* M (pow n 2))))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/6 (- (+ (* 2 (/ 1 (pow n 3))) (* 24 (/ 1 (* (pow M 2) n)))) (+ (* 16 (/ 1 (pow M 3))) (* 12 (/ 1 (* M (pow n 2)))))))) (+ (* 0 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m)))))) into (- (+ (* 2/3 (/ 1 (pow n 3))) (* 8 (/ 1 (* (pow M 2) n)))) (+ (* 16/3 (/ 1 (pow M 3))) (* 4 (/ 1 (* M (pow n 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1) (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)) (* (/ (pow (- (+ (* 2/3 (/ 1 (pow n 3))) (* 8 (/ 1 (* (pow M 2) n)))) (+ (* 16/3 (/ 1 (pow M 3))) (* 4 (/ 1 (* M (pow n 2)))))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log -1/2) (log m)))) M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (exp (* 2 (- (log -1/2) (log m)))) M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow M 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log M))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log M))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow M 2)) (+ (* (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) (/ 0 (pow M 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ (exp (* 2 (- (log -1/2) (log m)))) M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (exp (* 2 (- (log -1/2) (log m)))) M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (fabs (- (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- m))))) (exp (* 2 (- (log -1/2) (log (/ 1 (- m))))))) (* 1 (* (/ 1 (/ 1 (- l))) (* 1 (* 1 1))))) into (- (fabs (- m n)) (+ (exp (* 2 (- (log -1/2) (log (/ -1 m))))) l)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (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 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (expm1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (expm1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 2 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (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 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (log1p (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (log1p (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 3 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 4 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 5 / 116 ] 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: [ 6 / 116 ] 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 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 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)) * [enter]simplify: Simplifying (pow (cbrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 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: [ 7 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 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 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * * * * [misc]progress: [ 8 / 116 ] 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 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (270 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: [ 9 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (273 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: [ 12 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (22 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (420 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: [ 13 / 116 ] 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 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 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 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 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: [ 14 / 116 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * [exit]simplify: Simplified to (* (pow (- (/ (+ n m) 2) M) 3) (pow (- (/ (+ n m) 2) M) 3)) * [exit]simplify: Simplified to (* (pow (- (/ (+ n m) 2) M) 3) (pow (- (/ (+ n m) 2) M) 3)) * * * * [misc]progress: [ 15 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 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 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 16 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 18 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 19 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 20 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 21 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 22 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 23 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 24 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 25 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 26 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 27 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 28 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (461 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 29 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 30 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 31 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 32 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 33 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 34 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 35 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow 1 2)) (pow (- (/ (+ m n) 2) M) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (fma (/ (+ m n) 2) (- 1) (* (- 1) (- M))) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (fma (/ (+ m n) 2) (- 1) (* (- 1) (- M))) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 36 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow 1 2)) (pow (- (/ (+ m n) 2) M) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (fma (fma (/ (+ m n) 2) (- 1) (* (- M) (- 1))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (fma (/ (+ m n) 2) (- 1) (* (- M) (- 1))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 37 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow 1 2)) (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (fma (- 1) (/ (+ m n) 2) (* (- 1) (- M))) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (fma (- 1) (/ (+ m n) 2) (* (- 1) (- M))) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 38 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 39 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 40 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (376 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 41 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 42 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 43 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 44 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 45 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 46 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 47 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (fma (- (- (- M)) (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (- (- M)) (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 48 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- (- (- M)) (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- (- (- M)) (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 49 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (fma (fma (/ (+ n m) 2) (- 1) (* (- M) (- 1))) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (fma (/ (+ n m) 2) (- 1) (* (- M) (- 1))) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 50 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 51 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 52 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 53 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 54 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 55 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 56 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 2) (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 57 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 2) (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 58 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 2) (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 59 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (/ (+ m n) 2) M) (- (- (/ (+ m n) 2) M)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 60 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (/ (+ m n) 2) M) (- (- (/ (+ m n) 2) M)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 61 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (/ (+ m n) 2) M) (- (- (/ (+ m n) 2) M)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 62 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 63 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 64 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 65 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 66 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 67 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 68 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 69 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 70 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 71 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (expm1 (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [exit]simplify: Simplified to (expm1 (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 72 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (log1p (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [exit]simplify: Simplified to (log1p (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 73 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 74 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 75 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 76 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 77 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 78 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 79 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 80 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 81 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 82 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 83 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 84 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 85 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 86 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 87 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 88 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 89 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 90 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 91 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (exp (pow (- (/ (+ m n) 2) M) 2))) (exp (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) * [exit]simplify: Simplified to (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 92 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (- (pow (- (/ (+ m n) 2) M) 2))) (exp (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (437 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 93 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (log (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [exit]simplify: Simplified to (log (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 95 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 96 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (cbrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (cbrt (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)))) * [exit]simplify: Simplified to (* (cbrt (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (cbrt (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)))) * [enter]simplify: Simplifying (cbrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (cbrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [exit]simplify: Simplified to (cbrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 97 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (pow (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) 3) * [exit]simplify: Simplified to (pow (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) 3) * * * * [misc]progress: [ 98 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (sqrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [exit]simplify: Simplified to (sqrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [enter]simplify: Simplifying (sqrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (sqrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [exit]simplify: Simplified to (sqrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 99 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (- (pow (- (/ (+ m n) 2) M) 2)) 3) (pow (- l (fabs (- m n))) 3)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (- (* (- l (fabs (- m n))) (* (- (fabs (- m n)) l) (- l (fabs (- m n))))) (* (pow (- (/ (+ n m) 2) M) 3) (pow (- (/ (+ n m) 2) M) 3))) * [exit]simplify: Simplified to (- (* (- l (fabs (- m n))) (* (- (fabs (- m n)) l) (- l (fabs (- m n))))) (* (pow (- (/ (+ n m) 2) M) 3) (pow (- (/ (+ n m) 2) M) 3))) * [enter]simplify: Simplifying (+ (* (- (pow (- (/ (+ m n) 2) M) 2)) (- (pow (- (/ (+ m n) 2) M) 2))) (+ (* (- l (fabs (- m n))) (- l (fabs (- m n)))) (* (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (fma (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) (* (- l (fabs (- m n))) (- l (fabs (- m n))))) * [exit]simplify: Simplified to (fma (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) (* (- l (fabs (- m n))) (- l (fabs (- m n))))) * * * * [misc]progress: [ 100 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 101 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (pow (- (/ (+ m n) 2) M) 2)) (- (pow (- (/ (+ m n) 2) M) 2))) (* (- l (fabs (- m n))) (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (fma (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- l (fabs (- m n))) (- (fabs (- m n)) l))) * [exit]simplify: Simplified to (fma (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- l (fabs (- m n))) (- (fabs (- m n)) l))) * [enter]simplify: Simplifying (+ (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))) * * * * [misc]progress: [ 103 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) (sqrt (- l (fabs (- m n))))) * [exit]simplify: Simplified to (+ (sqrt (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) (sqrt (- l (fabs (- m n))))) * [enter]simplify: Simplifying (- (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (- (sqrt (* (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) (sqrt (- l (fabs (- m n))))) * [exit]simplify: Simplified to (- (sqrt (* (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) (sqrt (- l (fabs (- m n))))) * * * * [misc]progress: [ 104 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * * * * [misc]progress: [ 105 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * * * * [misc]progress: [ 106 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) l) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- l)) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- l)) * * * * [misc]progress: [ 107 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) l) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- l)) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- l)) * * * * [misc]progress: [ 108 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (- (/ (+ m n) 2) M) 2) (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))) * * * * [misc]progress: [ 109 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) l) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- l)) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- l)) * * * * [misc]progress: [ 110 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * [exit]simplify: Simplified to (- (fabs (- m n)) l) * * * * [misc]progress: [ 111 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (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 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (fma m (fma n 1/2 (* m 1/4)) (* (* M -1) (* M -1))))) * * * * [misc]progress: [ 112 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (exp (* 2 (- (log 1/2) (log (/ 1 m)))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (* 1/2 m) (* 1/2 m) l))) * * * * [misc]progress: [ 113 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (exp (* 2 (- (log -1/2) (log (/ -1 m)))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (/ -1/2 (/ -1 m)) (/ -1/2 (/ -1 m)) l))) * * * * [misc]progress: [ 114 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma m (* 1/4 m) l))) * * * * [misc]progress: [ 115 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (fabs (- m n)) (+ (exp (* 2 (- (log 1/2) (log (/ 1 m))))) l)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (* 1/2 m) (* 1/2 m) l))) * * * * [misc]progress: [ 116 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (fabs (- m n)) (+ (exp (* 2 (- (log -1/2) (log (/ -1 m))))) l)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (/ -1/2 (/ -1 m)) (/ -1/2 (/ -1 m)) l))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* K (+ m n)))) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* K (+ m n)))) 2) in M * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* K (+ m n)))) in M * [misc]taylor: Rewrote expression to (- (exp (log1p (* K (+ m n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* K (+ m n)))) in M * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in M * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in M * [misc]taylor: Taking taylor expansion of 1 in M * [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 m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (+ 1 (* (+ n m) K)) into (+ (* m K) (+ 1 (* n K))) * [misc]backup-simplify: Simplify (log (+ (* m K) (+ 1 (* n K)))) into (log (+ (* m K) (+ 1 (* n K)))) * [misc]backup-simplify: Simplify (exp (log (+ (* m K) (+ 1 (* n K))))) into (+ (* m K) (+ 1 (* n K))) * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (* m K) (+ 1 (* n K))) -1) into (+ (* m K) (* n K)) * [misc]backup-simplify: Simplify (/ (+ (* m K) (* n K)) 2) into (* 1/2 (+ (* m K) (* n 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 (+ (* m K) (* n K))) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* K (+ m n)))) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* K (+ m n)))) 2) in n * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* K (+ m n)))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (* K (+ m n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* K (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (+ 1 (* K m)) into (+ (* K m) 1) * [misc]backup-simplify: Simplify (log (+ (* K m) 1)) into (log (+ (* K m) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (* K m) 1))) into (+ (* K m) 1) * [misc]taylor: Taking taylor expansion of 1 in n * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (* K m) 1) -1) 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 (- (/ (expm1 (log1p (* K (+ m n)))) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* K (+ m n)))) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* K (+ m n)))) 2) in m * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* K (+ m n)))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (* K (+ m n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* K (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (+ 1 (* n K)) into (+ 1 (* n K)) * [misc]backup-simplify: Simplify (log (+ 1 (* n K))) into (log (+ 1 (* n K))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (* n K)))) into (+ 1 (* n K)) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (* n K)) -1) 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 (- (/ (expm1 (log1p (* K (+ m n)))) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* K (+ m n)))) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* K (+ m n)))) 2) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* K (+ m n)))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (* K (+ m n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* K (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 1) 1)))) into (+ n m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ n m) 0) 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 (- (/ (expm1 (log1p (* K (+ m n)))) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* K (+ m n)))) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* K (+ m n)))) 2) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* K (+ m n)))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (* K (+ m n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* K (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 1) 1)))) into (+ n m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ n m) 0) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ n m)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 2) 2)) (* (/ (pow (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m))))) 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 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 (- (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) in M * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 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 m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (/ 1 n) (/ 1 m)) K)) into (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))) * [misc]backup-simplify: Simplify (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) into (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))))) into (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))) * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))) -1) into (+ (/ 1 (* n K)) (/ 1 (* m K))) * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* n K)) (/ 1 (* m K))) 2) into (* 1/2 (+ (/ 1 (* m K)) (/ 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 (- (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M))) into (cos (- (* 1/2 (expm1 (log1p (/ (+ (/ 1 n) (/ 1 m)) K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) in n * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log n))) into (exp (- (log (/ 1 K)) (log n))) * [misc]taylor: Taking taylor expansion of 1 in n * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (/ 1 K)) (log n))) -1) into (- (exp (- (log (/ 1 K)) (log n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (/ 1 K)) (log n))) 1) 2) into (* 1/2 (- (exp (- (log (/ 1 K)) (log n))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (/ 1 K)) (log n))) 1)) (- (/ 1 M))) into (- (* 1/2 (exp (- (log (/ 1 K)) (log n)))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (log (/ 1 K)) (log n)))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (log (/ 1 K)) (log n)))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (log (/ 1 K)) (log n)))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (log (/ 1 K)) (log n)))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) in m * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log m))) into (exp (- (log (/ 1 K)) (log m))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (/ 1 K)) (log m))) -1) into (- (exp (- (log (/ 1 K)) (log m))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (/ 1 K)) (log m))) 1) 2) into (* 1/2 (- (exp (- (log (/ 1 K)) (log m))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (/ 1 K)) (log m))) 1)) (- (/ 1 M))) into (- (* 1/2 (exp (- (log (/ 1 K)) (log m)))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (log (/ 1 K)) (log m)))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (log (/ 1 K)) (log m)))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (log (/ 1 K)) (log m)))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (log (/ 1 K)) (log m)))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) -1) into (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) 2) into (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (- (/ 1 M))) into (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) -1) into (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) 2) into (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (- (/ 1 M))) into (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) 1) into (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) 0) into (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 1) 1)))) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) 0) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (/ (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) 2) (+ (* (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (/ 0 2)))) into (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) 0) into (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) 1) 1))) into (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))))) (* 0 0)) into (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m))))) into (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m)))))) into (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 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 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 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 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (exp (- (+ (log K) (log m)))) (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)))) into (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) 1) into (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) (* 0 (exp (- (+ (log K) (log m)))))) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) 0) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) 1) 1))) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (* 1/2 (/ (exp (- (+ (log K) (log m)))) n))) (* 0 0)) into (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n))) into (- (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n)))) into (- (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log 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 (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (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 (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) into (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) 1) into (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (exp (- (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) (* 0 (exp (- (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (exp (- (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 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 (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) 2) 2)) 0) into (- (* 1/8 (/ (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) (- (* 1/8 (/ (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 2) 2)) (* (/ (pow (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 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 2) (+ (* (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (/ 0 2)) (* (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) 0) (+ (* 0 (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) 0) into (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (pow (+ (/ 1 n) (/ 1 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 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (pow (+ (/ 1 n) (/ 1 m)) 2)) in m * [misc]taylor: Taking taylor expansion of (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) in m * [misc]taylor: Taking taylor expansion of (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 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 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (log (exp (- (+ (log K) (log m))))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 2 (- (+ (log K) (log m)))) into (* -2 (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log K) (log m)))) into (exp (* -2 (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (+ (/ 1 n) (/ 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 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log m))) into (* -2 (log m)) * [misc]backup-simplify: Simplify (exp (* -2 (log m))) into (pow m -2) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log K) (log m)))) (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)))) into (* (exp (* -2 (+ (log K) (log m)))) (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)))) * [misc]backup-simplify: Simplify (/ (* (exp (* -2 (+ (log K) (log m)))) (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)))) (pow m -2)) into (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) * [misc]backup-simplify: Simplify (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)))) into (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 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 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) in n * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* -2 (+ (log K) (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 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 (* -2 (+ (log K) (log m))) into (* -2 (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log K) (log m)))) into (exp (* -2 (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [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 (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)) into (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)) * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) into (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) * [misc]backup-simplify: Simplify (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)))) into (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) in M * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (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 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) in M * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* -2 (+ (log K) (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 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 (* -2 (+ (log K) (log m))) into (* -2 (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log K) (log m)))) into (exp (* -2 (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)) in M * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [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]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 (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)) into (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)) * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) into (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) * [misc]backup-simplify: Simplify (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)))) into (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) into (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) into (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) into (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log 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 (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) into (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) into (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log (/ 1 K)) (log (/ 1 m)))))) (+ (/ 1 (/ 1 M)) 1/2))) (exp (- (+ (log (/ 1 K)) (log (/ 1 m)))))))) (* 1 (* 1 (* (/ 1 m) (/ 1 K))))) (+ (* (- (* 1/8 (* (exp (* -2 (+ (log (/ 1 K)) (log (/ 1 m))))) (* (cos (- (* 1/2 (exp (- (+ (log (/ 1 K)) (log (/ 1 m)))))) (+ (/ 1 (/ 1 M)) 1/2))) (pow (/ 1 m) 2))))) (pow (* 1 (* 1 (* 1 (/ 1 K)))) 2)) (cos (- (* 1/2 (exp (- (+ (log (/ 1 K)) (log (/ 1 m)))))) (+ (/ 1 (/ 1 M)) 1/2))))) into (- (cos (- (* 1/2 (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (+ M 1/2))) (+ (* 1/8 (/ (* (exp (* -2 (+ (log (/ 1 m)) (log (/ 1 K))))) (cos (- (* 1/2 (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (+ M 1/2)))) (* (pow K 2) (pow m 2)))) (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (+ M 1/2))) (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (* m K))))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) in M * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 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 m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (/ 1 n) (/ 1 m)) K)) into (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))) * [misc]backup-simplify: Simplify (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) into (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))))) into (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))) * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))) -1) into (+ (/ 1 (* n K)) (/ 1 (* m K))) * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* n K)) (/ 1 (* m K))) 2) into (* 1/2 (+ (/ 1 (* m K)) (/ 1 (* n 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 (- (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (* 1/2 (expm1 (log1p (/ (+ (/ 1 n) (/ 1 m)) K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) in n * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log n))) into (exp (- (log (/ 1 K)) (log n))) * [misc]taylor: Taking taylor expansion of 1 in n * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (/ 1 K)) (log n))) -1) into (- (exp (- (log (/ 1 K)) (log n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (/ 1 K)) (log n))) 1) 2) into (* 1/2 (- (exp (- (log (/ 1 K)) (log n))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (/ 1 K)) (log n))) 1)) (/ 1 M)) into (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log n))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log n))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log n))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log n))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log n))))) 1/2)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) in m * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log m))) into (exp (- (log (/ 1 K)) (log m))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (/ 1 K)) (log m))) -1) into (- (exp (- (log (/ 1 K)) (log m))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (/ 1 K)) (log m))) 1) 2) into (* 1/2 (- (exp (- (log (/ 1 K)) (log m))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (/ 1 K)) (log m))) 1)) (/ 1 M)) into (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log m))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log m))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log m))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log m))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log m))))) 1/2)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) -1) into (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) 2) into (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (/ 1 M)) into (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) -1) into (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) 2) into (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (/ 1 M)) into (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) 1) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) 0) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) in m * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log 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 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in M * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 1) 1)))) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) 0) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (/ (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) 2) (+ (* (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (/ 0 2)))) into (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 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 (+ (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) 0) into (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) 1) 1))) into (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))))) (* 0 0)) into (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m))))) into (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m)))))) into (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 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 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) in m * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log 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 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 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 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (exp (- (+ (log K) (log m)))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2))) into (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) 1) into (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 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 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) (* 0 (exp (- (+ (log K) (log m)))))) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ (exp (- (+ (log K) (log m)))) n))) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) 0) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) 1) 1))) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (* 1/2 (/ (exp (- (+ (log K) (log m)))) n))) (* 0 0)) into (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n))) into (- (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n)))) into (- (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log 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 (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (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) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) into (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) 1) into (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (exp (- (+ (log K) (log m)))))) 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 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) (* 0 (exp (- (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (exp (- (+ (log K) (log m)))))) 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 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 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 (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) 2) 2)) 0) into (- (* 1/8 (/ (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) (- (* 1/8 (/ (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 2) 2)) (* (/ (pow (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 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 2) (+ (* (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (/ 0 2)) (* (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 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) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) 0) (+ (* 0 (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) 0) into (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (pow (+ (/ 1 n) (/ 1 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 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (pow (+ (/ 1 n) (/ 1 m)) 2)) in m * [misc]taylor: Taking taylor expansion of (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) in m * [misc]taylor: Taking taylor expansion of (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 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 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (log (exp (- (+ (log K) (log m))))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 2 (- (+ (log K) (log m)))) into (* -2 (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log K) (log m)))) into (exp (* -2 (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) in m * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log 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 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (+ (/ 1 n) (/ 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 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log m))) into (* -2 (log m)) * [misc]backup-simplify: Simplify (exp (* -2 (log m))) into (pow m -2) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log K) (log m)))) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2))) into (* (exp (* -2 (+ (log K) (log m)))) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2))) * [misc]backup-simplify: Simplify (/ (* (exp (* -2 (+ (log K) (log m)))) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2))) (pow m -2)) into (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) * [misc]backup-simplify: Simplify (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)))) into (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 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 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) in n * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* -2 (+ (log K) (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 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 (* -2 (+ (log K) (log m))) into (* -2 (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log K) (log m)))) into (exp (* -2 (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [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 (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)) into (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)) * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) into (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) * [misc]backup-simplify: Simplify (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)))) into (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) in M * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (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 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) in M * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* -2 (+ (log K) (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 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 (* -2 (+ (log K) (log m))) into (* -2 (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log K) (log m)))) into (exp (* -2 (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)) in M * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in M * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [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]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 (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)) into (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)) * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) into (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) * [misc]backup-simplify: Simplify (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)))) into (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) into (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) into (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) into (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log 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 (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in M * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) into (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) into (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (* (sin (- (+ (/ 1 (/ 1 (- M))) (* 1/2 (exp (- (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))))) 1/2)) (exp (- (+ (log (/ 1 (- K))) (log (/ 1 (- m))))))))) (* 1 (* 1 (* (/ 1 (- m)) (/ 1 (- K)))))) (+ (* (- (* 1/8 (* (exp (* -2 (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))) (* (cos (- (+ (/ 1 (/ 1 (- M))) (* 1/2 (exp (- (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))))) 1/2)) (pow (/ 1 (- m)) 2))))) (pow (* 1 (* 1 (* 1 (/ 1 (- K))))) 2)) (cos (- (+ (/ 1 (/ 1 (- M))) (* 1/2 (exp (- (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))))) 1/2)))) into (- (cos (- (* 1/2 (exp (- (+ (log (/ -1 m)) (log (/ -1 K)))))) (+ M 1/2))) (+ (* 1/2 (/ (* (exp (- (+ (log (/ -1 m)) (log (/ -1 K))))) (sin (- (* 1/2 (exp (- (+ (log (/ -1 m)) (log (/ -1 K)))))) (+ M 1/2)))) (* m K))) (* 1/8 (/ (* (exp (* -2 (+ (log (/ -1 m)) (log (/ -1 K))))) (cos (- (* 1/2 (exp (- (+ (log (/ -1 m)) (log (/ -1 K)))))) (+ M 1/2)))) (* (pow K 2) (pow m 2)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (log1p (* K (+ m n))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (+ 1 (* K m)) into (+ (* K m) 1) * [misc]backup-simplify: Simplify (log (+ (* K m) 1)) into (log (+ (* K m) 1)) * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (+ 1 (* n K)) into (+ 1 (* n K)) * [misc]backup-simplify: Simplify (log (+ 1 (* n K))) into (log (+ 1 (* n K))) * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ n m)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m))))) * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 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 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m)))) in m * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (pow n 2) (* 2 (* n m))) in m * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]taylor: Taking taylor expansion of (* 2 (* n 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 (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (pow n 2) 0) into (pow n 2) * [misc]backup-simplify: Simplify (+ 0 (pow n 2)) into (pow n 2) * [misc]backup-simplify: Simplify (* -1/2 (pow n 2)) into (* -1/2 (pow n 2)) * [misc]taylor: Taking taylor expansion of (* -1/2 (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 (pow n 2) in n * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ n m)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (+ n m)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (* 1/6 (+ (* 2 (pow m 3)) (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2))))))) * [misc]taylor: Taking taylor expansion of (* 1/6 (+ (* 2 (pow m 3)) (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2))))))) in m * [misc]taylor: Taking taylor expansion of 1/6 in m * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow m 3)) (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (pow m 3)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow m 3) in m * [misc]taylor: Taking taylor expansion of (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2))))) in m * [misc]taylor: Taking taylor expansion of (* 6 (* (pow n 2) m)) in m * [misc]taylor: Taking taylor expansion of 6 in m * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (pow n 2) m) in m * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (pow n 3)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow n 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log n)) 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 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 (* 3 (log n)) into (* 3 (log n)) * [misc]backup-simplify: Simplify (exp (* 3 (log n))) into (pow n 3) * [misc]taylor: Taking taylor expansion of (* 6 (* n (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 6 in m * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* n (pow m 2)) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]backup-simplify: Simplify (* (pow n 2) 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (* 2 (pow n 3)) into (* 2 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* 2 (pow n 3)) 0) into (* 2 (pow n 3)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow n 3))) into (* 2 (pow n 3)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow n 3))) into (* 2 (pow n 3)) * [misc]backup-simplify: Simplify (* 1/6 (* 2 (pow n 3))) into (* 1/3 (pow n 3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (+ (* 2 n) (* 0 0)) into (* 2 n) * [misc]backup-simplify: Simplify (+ 0 (* 2 n)) into (* 2 n) * [misc]backup-simplify: Simplify (+ 0 (* 2 n)) into (* 2 n) * [misc]backup-simplify: Simplify (+ (* -1/2 (* 2 n)) (* 0 (pow n 2))) into (- 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 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 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 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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]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 (/ 0 1)))) 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 (/ (* (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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) in m * [misc]taylor: Taking taylor expansion of -1/2 in m * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (+ (/ 1 n) (/ 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 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log m))) into (* -2 (log m)) * [misc]backup-simplify: Simplify (exp (* -2 (log m))) into (pow m -2) * [misc]backup-simplify: Simplify (/ -1/2 (pow m -2)) into (* -1/2 (pow m 2)) * [misc]taylor: Taking taylor expansion of (* -1/2 (pow m 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 (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 (* -1/2 (pow m 2)) into (* -1/2 (pow m 2)) * [misc]backup-simplify: Simplify (* -1/2 (pow m 2)) into (* -1/2 (pow m 2)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 m) (/ 1 K)))) (+ (* (* -1/2 (pow (/ 1 m) 2)) (pow (* 1 (* 1 (/ 1 K))) 2)) (- (+ (log (/ 1 K)) (log (/ 1 m)))))) into (- (/ 1 (* m K)) (+ (* 1/2 (/ 1 (* (pow m 2) (pow K 2)))) (+ (log (/ 1 m)) (log (/ 1 K))))) * [misc]approximate: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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]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 (/ 0 1)))) 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 (/ (* (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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) in m * [misc]taylor: Taking taylor expansion of -1/2 in m * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (+ (/ 1 n) (/ 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 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log m))) into (* -2 (log m)) * [misc]backup-simplify: Simplify (exp (* -2 (log m))) into (pow m -2) * [misc]backup-simplify: Simplify (/ -1/2 (pow m -2)) into (* -1/2 (pow m 2)) * [misc]taylor: Taking taylor expansion of (* -1/2 (pow m 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 (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 (* -1/2 (pow m 2)) into (* -1/2 (pow m 2)) * [misc]backup-simplify: Simplify (* -1/2 (pow m 2)) into (* -1/2 (pow m 2)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 (- m)) (/ 1 (- K))))) (+ (* (* -1/2 (pow (/ 1 (- m)) 2)) (pow (* 1 (* 1 (/ 1 (- K)))) 2)) (- (+ (log (/ 1 (- K))) (log (/ 1 (- m))))))) into (- (/ 1 (* m K)) (+ (* 1/2 (/ 1 (* (pow m 2) (pow K 2)))) (+ (log (/ -1 m)) (log (/ -1 K))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (* K (+ m n)))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* K (+ m n)))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (* K (+ m n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* K (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (+ 1 (* K m)) into (+ (* K m) 1) * [misc]backup-simplify: Simplify (log (+ (* K m) 1)) into (log (+ (* K m) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (* K m) 1))) into (+ (* K m) 1) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* K (+ m n)))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (* K (+ m n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* K (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (+ 1 (* n K)) into (+ 1 (* n K)) * [misc]backup-simplify: Simplify (log (+ 1 (* n K))) into (log (+ 1 (* n K))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (* n K)))) into (+ 1 (* n K)) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* K (+ m n)))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (* K (+ m n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* K (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* K (+ m n)))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (* K (+ m n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* K (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 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 (* (exp 0) (+ (* (/ (pow (+ n m) 1) 1)))) into (+ n m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ n m) 0) 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ n m)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 2) 2)) (* (/ (pow (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m))))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ n m)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (+ n m)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (* 1/6 (+ (* 2 (pow m 3)) (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2))))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 3) 6)) (* (/ (pow (+ n m) 1) 1) (/ (pow (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m))))) 1) 1)) (* (/ (pow (* 1/6 (+ (* 2 (pow m 3)) (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2))))))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log n))) into (exp (- (log (/ 1 K)) (log n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log m))) into (exp (- (log (/ 1 K)) (log m))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) -1) into (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (+ (log K) (log m)))) -1) into (- (exp (- (+ (log K) (log m)))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (- (+ (log K) (log m)))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (+ (log K) (log m)))) -1) into (- (exp (- (+ (log K) (log m)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (+ (log K) (log m)))) 1) into (- (exp (- (+ (log K) (log m)))) 1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 1) 1)))) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) 0) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (- (+ (log K) (log m)))) 1) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (+ (log K) (log m)))) n) 0) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]taylor: Taking taylor expansion of (/ (exp (- (+ (log K) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (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 (- (+ (log K) (log m)))) 1) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log K) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 2) 2)) (* (/ (pow (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (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]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 (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log K) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow (+ (/ 1 n) (/ 1 m)) 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 6) into (/ 1/3 (pow (+ (/ 1 n) (/ 1 m)) 3)) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 3) 6)) (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 1) 1) (/ (pow (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) 1) 1)) (* (/ (pow (/ 1/3 (pow (+ (/ 1 n) (/ 1 m)) 3)) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ (exp (- (+ (log K) (log m)))) n) 1) (+ (* (exp (- (+ (log K) (log m)))) (/ (/ 1 n) 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 (+ (* (exp (- (+ (log (/ 1 K)) (log (/ 1 m))))) (* 1 (* (/ 1 m) (/ 1 K)))) (- (exp (- (+ (log (/ 1 K)) (log (/ 1 m))))) 1)) into (- (+ (/ (exp (- (+ (log (/ 1 m)) (log (/ 1 K))))) (* m K)) (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) 1) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log n))) into (exp (- (log (/ 1 K)) (log n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log m))) into (exp (- (log (/ 1 K)) (log m))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) -1) into (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (+ (log K) (log m)))) -1) into (- (exp (- (+ (log K) (log m)))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (- (+ (log K) (log m)))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (+ (log K) (log m)))) -1) into (- (exp (- (+ (log K) (log m)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (+ (log K) (log m)))) 1) into (- (exp (- (+ (log K) (log m)))) 1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 1) 1)))) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) 0) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (- (+ (log K) (log m)))) 1) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (+ (log K) (log m)))) n) 0) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]taylor: Taking taylor expansion of (/ (exp (- (+ (log K) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (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 (- (+ (log K) (log m)))) 1) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log K) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 2) 2)) (* (/ (pow (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (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]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 (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log K) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow (+ (/ 1 n) (/ 1 m)) 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 6) into (/ 1/3 (pow (+ (/ 1 n) (/ 1 m)) 3)) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 3) 6)) (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 1) 1) (/ (pow (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) 1) 1)) (* (/ (pow (/ 1/3 (pow (+ (/ 1 n) (/ 1 m)) 3)) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ (exp (- (+ (log K) (log m)))) n) 1) (+ (* (exp (- (+ (log K) (log m)))) (/ (/ 1 n) 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 (+ (* (exp (- (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))) (* 1 (* (/ 1 (- m)) (/ 1 (- K))))) (- (exp (- (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))) 1)) into (- (+ (exp (- (+ (log (/ -1 m)) (log (/ -1 K))))) (/ (exp (- (+ (log (/ -1 m)) (log (/ -1 K))))) (* m K))) 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 n) (* 1/2 m))) into (log (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) into (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 n) (* 1/2 m))))) into (pow (+ (* 1/2 n) (* 1/2 m)) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 m) M)) into (log (- (* 1/2 m) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 m) M))) into (* 2 (log (- (* 1/2 m) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 m) M)))) into (pow (- (* 1/2 m) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (* 1/2 n) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (* 1/2 n) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 n) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (log (- M)) into (log (- M)) * [misc]backup-simplify: Simplify (* 2 (log (- M))) into (* 2 (log (- M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- M)))) into (pow (- M) 2) * [misc]taylor: Taking taylor expansion of (pow (- M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (* 2 (+ (log M) (log -1))) into (* 2 (+ (log M) (log -1))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- (* 1/2 n) M) 1)))) 1) into (/ 1/2 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M)))) into (/ 1 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 1) 1)))) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- M) 1)))) 1) into (/ -1/2 M) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/2 M)) (* 0 (log (- M)))) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- M)))) (+ (* (/ (pow (- (/ 1 M)) 1) 1)))) into (* -1 M) * [misc]taylor: Taking taylor expansion of (* -1 M) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log M) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log M) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (- (* 1/2 n) M) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 n) M) 1)))) 2) into (/ -1/8 (pow (- (* 1/2 n) M) 2)) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/8 (pow (- (* 1/2 n) M) 2))) (+ (* 0 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M))))) into (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) 1) 1)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n m))) (+ (* 1/4 (pow (* 1 (* 1 m)) 2)) (exp (* 2 (+ (log M) (log -1)))))) into (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m)))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) (log -1)) into (- (log -1) (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log M))) into (* 2 (- (log -1) (log M))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log M)))) into (exp (* 2 (- (log -1) (log M)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 1/2)) into (- (log 1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log n))) into (* 2 (- (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log n)))) into (exp (* 2 (- (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 1)) (pow 1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* (- (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m)))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (* 4 (/ 1 M))) 0) (* (* 4 (/ 1 (pow M 2))) (exp (* 2 (- (log 1/2) (log m))))))) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (- (* 4 (/ 1 M))) 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log (/ 1 m))))) into (exp (* 2 (- (log 1/2) (log (/ 1 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 (/ 1 (- m)))))) into (exp (* 2 (- (log -1/2) (log (/ -1 m))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (expm1 (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (expm1 (cos (fma (+ m n) (/ K 2) (- M)))) * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log1p (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (log1p (cos (fma (+ m n) (/ K 2) (- M)))) * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (expm1 (log1p (* K (+ m n)))) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cos (* (+ m n) (/ K 2))) (cos M)) * [exit]simplify: Simplified to (* (cos (* (+ m n) (/ K 2))) (cos M)) * [enter]simplify: Simplifying (* (sin (/ (expm1 (log1p (* K (+ m n)))) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (sin (* (+ m n) (/ K 2))) (- (sin M))) * [exit]simplify: Simplified to (* (sin (* (+ m n) (/ K 2))) (- (sin M))) * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (expm1 (log1p (* K (+ m n)))) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cos (* (+ m n) (/ K 2))) (cos M)) * [exit]simplify: Simplified to (* (cos (* (+ m n) (/ K 2))) (cos M)) * [enter]simplify: Simplifying (* (sin (/ (expm1 (log1p (* K (+ m n)))) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (sin (* (+ m n) (/ K 2))) (- (sin M))) * [exit]simplify: Simplified to (* (sin (* (+ m n) (/ K 2))) (- (sin M))) * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (expm1 (log1p (* K (+ m n)))) 2)) (cos M)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 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 (/ (expm1 (log1p (* K (+ m n)))) 2)) (sin M)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 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: [ 6 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (log (cos (fma (+ m n) (/ K 2) (- M)))) * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (exp (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (exp (cos (fma (+ m n) (/ K 2) (- M)))) * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M))) (cbrt (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) (cbrt (cos (fma (/ K 2) (+ m n) (- M))))) * [exit]simplify: Simplified to (* (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) (cbrt (cos (fma (/ K 2) (+ m n) (- M))))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (cbrt (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (cbrt (cos (fma (+ m n) (/ K 2) (- M)))) * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M)) (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M))) (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (pow (cos (fma (+ m n) (/ K 2) (- M))) 3) * [exit]simplify: Simplified to (pow (cos (fma (+ m n) (/ K 2) (- M))) 3) * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (sqrt (cos (fma (+ m n) (/ K 2) (- M)))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (sqrt (cos (fma (+ m n) (/ K 2) (- M)))) * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* K (+ m n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (fma (+ n m) K 1) * [exit]simplify: Simplified to (fma (+ n m) K 1) * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (+ m n) K) * [exit]simplify: Simplified to (* (+ m n) K) * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log1p (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (log1p (log1p (* (+ m n) K))) * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (log (log1p (* (+ m n) K))) * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (exp (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (exp (log1p (* (+ m n) K))) * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (* K (+ m n)))) (cbrt (log1p (* K (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (* (+ m n) K))) (cbrt (log1p (* (+ m n) K)))) * [exit]simplify: Simplified to (* (cbrt (log1p (* (+ m n) K))) (cbrt (log1p (* (+ m n) K)))) * [enter]simplify: Simplifying (cbrt (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (cbrt (log1p (* (+ m n) K))) * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (* K (+ m n))) (log1p (* K (+ m n)))) (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (pow (log1p (* (+ m n) K)) 3) * [exit]simplify: Simplified to (pow (log1p (* (+ m n) K)) 3) * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (sqrt (log1p (* (+ m n) K))) * [enter]simplify: Simplifying (sqrt (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (sqrt (log1p (* (+ m n) K))) * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (exp (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (exp (log1p (* (+ m n) K))) * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (log1p (* K (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (expm1 (* (+ m n) K)) * [exit]simplify: Simplified to (expm1 (* (+ m n) K)) * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (log1p (* K (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (log1p (* (+ m n) K)) * [exit]simplify: Simplified to (log1p (* (+ m n) K)) * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (log1p (* K (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (log (* (+ m n) K)) * [exit]simplify: Simplified to (log (* (+ m n) K)) * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (log1p (* K (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (pow (exp K) (+ m n)) * [exit]simplify: Simplified to (pow (exp K) (+ m n)) * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (log1p (* K (+ m n))))) (cbrt (expm1 (log1p (* K (+ m n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 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 (expm1 (log1p (* K (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (log1p (* K (+ m n)))) (expm1 (log1p (* K (+ m n))))) (expm1 (log1p (* K (+ m n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (pow (* (+ m n) K) 3) * [exit]simplify: Simplified to (pow (* (+ m n) K) 3) * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (* K (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [enter]simplify: Simplifying (sqrt (expm1 (log1p (* K (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (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 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (expm1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (expm1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (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 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (log1p (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (log1p (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 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)) * [enter]simplify: Simplifying (pow (cbrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 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: [ 41 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 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 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (- (/ (+ m n) 2) M) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (270 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: [ 43 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (273 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: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (420 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: [ 47 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 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 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 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: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (- (/ (+ m n) 2) M) 2) (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * [exit]simplify: Simplified to (* (pow (- (/ (+ n m) 2) M) 3) (pow (- (/ (+ n m) 2) M) 3)) * [exit]simplify: Simplified to (* (pow (- (/ (+ n m) 2) M) 3) (pow (- (/ (+ n m) 2) M) 3)) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 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 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (cos (- (* 1/2 (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (+ M 1/2))) (+ (* 1/8 (/ (* (exp (* -2 (+ (log (/ 1 m)) (log (/ 1 K))))) (cos (- (* 1/2 (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (+ M 1/2)))) (* (pow K 2) (pow m 2)))) (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (+ M 1/2))) (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (* m K))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (354 enodes) * [exit]simplify: Simplified to (* (- (cos (- (* (* m K) 1/2) (+ M 1/2))) (+ (* (/ (* 1/8 (pow (/ 1 (* m K)) -2)) m) (/ (cos (- (* (* m K) 1/2) (+ M 1/2))) (* (* m K) K))) (* (/ (sin (- (* (* m K) 1/2) (+ M 1/2))) (* m K)) (* (* m K) 1/2)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (cos (- (* 1/2 (exp (- (+ (log (/ -1 m)) (log (/ -1 K)))))) (+ M 1/2))) (+ (* 1/2 (/ (* (exp (- (+ (log (/ -1 m)) (log (/ -1 K))))) (sin (- (* 1/2 (exp (- (+ (log (/ -1 m)) (log (/ -1 K)))))) (+ M 1/2)))) (* m K))) (* 1/8 (/ (* (exp (* -2 (+ (log (/ -1 m)) (log (/ -1 K))))) (cos (- (* 1/2 (exp (- (+ (log (/ -1 m)) (log (/ -1 K)))))) (+ M 1/2)))) (* (pow K 2) (pow m 2)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (339 enodes) * [exit]simplify: Simplified to (* (- (cos (- (/ (/ 1/2 (/ -1 m)) (/ -1 K)) (+ M 1/2))) (fma (/ (cos (- (/ (/ 1/2 (/ -1 m)) (/ -1 K)) (+ M 1/2))) (/ (* (* m m) (* K K)) (pow (* (/ -1 m) (/ -1 K)) -2))) 1/8 (* (/ (/ (/ 1/2 (/ -1 m)) (/ -1 K)) (* m K)) (sin (- (/ (/ 1/2 (/ -1 m)) (/ -1 K)) (+ M 1/2)))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (expm1 (+ (* m K) (* n K))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (expm1 (* (+ m n) K)) 2) M)) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (expm1 (- (/ 1 (* m K)) (+ (* 1/2 (/ 1 (* (pow m 2) (pow K 2)))) (+ (log (/ 1 m)) (log (/ 1 K)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) (cos (- (/ (expm1 (- (+ (/ 1 (* K m)) (+ (log m) (log K))) (/ (/ (/ 1/2 m) m) (* K K)))) 2) M))) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (expm1 (- (/ 1 (* m K)) (+ (* 1/2 (/ 1 (* (pow m 2) (pow K 2)))) (+ (log (/ -1 m)) (log (/ -1 K)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) (cos (- (/ (expm1 (- (- (/ 1 (* K m)) (log (/ -1 m))) (fma (/ 1/2 (* m m)) (/ 1 (* K K)) (log (/ -1 K))))) 2) M))) * * * * [misc]progress: [ 57 / 62 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (- (+ (/ (exp (- (+ (log (/ 1 m)) (log (/ 1 K))))) (* m K)) (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) 1) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (fma m K 1) 2) (+ (/ 1 2) M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (- (+ (exp (- (+ (log (/ -1 m)) (log (/ -1 K))))) (/ (exp (- (+ (log (/ -1 m)) (log (/ -1 K))))) (* m K))) 1) 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 (74 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (fma (/ 1 (* K (/ -1 m))) (/ (/ 1 (/ -1 K)) m) (fma (/ 1 (/ -1 m)) (/ 1 (/ -1 K)) (- 1))) 2) M)) (exp (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (expm1 (log1p (* 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 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (+ (fma m (fma 1/4 m (* n 1/2)) (* (* -1 M) (* -1 M))) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M)) (exp (- (- (exp (* 2 (- (log 1/2) (log (/ 1 m)))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (- (fma (* 1/2 m) (* 1/2 m) l) (fabs (- m n))))) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (expm1 (log1p (* K (+ m n)))) 2) M)) (exp (- (- (exp (* 2 (- (log -1/2) (log (/ -1 m)))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (* (exp (fma (/ (- -1/2) (/ -1 m)) (/ -1/2 (/ -1 m)) (fabs (- m n)))) (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp l))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) in M * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) in M * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* K (+ m n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* K (+ m n)))))) in M * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in M * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in M * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in M * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in M * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in M * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in M * [misc]taylor: Taking taylor expansion of 1 in M * [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 m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (+ 1 (* (+ n m) K)) into (+ (* m K) (+ 1 (* n K))) * [misc]backup-simplify: Simplify (log (+ (* m K) (+ 1 (* n K)))) into (log (+ (* m K) (+ 1 (* n K)))) * [misc]backup-simplify: Simplify (+ 1 (log (+ (* m K) (+ 1 (* n K))))) into (+ 1 (log (+ (* m K) (+ 1 (* n K))))) * [misc]backup-simplify: Simplify (log (+ 1 (log (+ (* m K) (+ 1 (* n K)))))) into (log (+ 1 (log (+ (* m K) (+ 1 (* n K)))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (log (+ (* m K) (+ 1 (* n K))))))) into (+ 1 (log (+ (* m K) (+ 1 (* n K))))) * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (log (+ (* m K) (+ 1 (* n K))))) -1) into (log (+ (* m K) (+ 1 (* n K)))) * [misc]backup-simplify: Simplify (exp (log (+ (* m K) (+ 1 (* n K))))) into (+ (* m K) (+ 1 (* n K))) * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (* m K) (+ 1 (* n K))) -1) into (+ (* m K) (* n K)) * [misc]backup-simplify: Simplify (/ (+ (* m K) (* n K)) 2) into (* 1/2 (+ (* m K) (* n 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 (+ (* m K) (* n K))) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) in n * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* K (+ m n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* K (+ m n)))))) in n * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (+ 1 (* K m)) into (+ (* K m) 1) * [misc]backup-simplify: Simplify (log (+ (* K m) 1)) into (log (+ (* K m) 1)) * [misc]backup-simplify: Simplify (+ 1 (log (+ (* K m) 1))) into (+ 1 (log (+ (* K m) 1))) * [misc]backup-simplify: Simplify (log (+ 1 (log (+ (* K m) 1)))) into (log (+ 1 (log (+ (* K m) 1)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (log (+ (* K m) 1))))) into (+ 1 (log (+ (* K m) 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]backup-simplify: Simplify (+ (+ 1 (log (+ (* K m) 1))) -1) into (log (+ (* K m) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (* K m) 1))) into (+ (* K m) 1) * [misc]taylor: Taking taylor expansion of 1 in n * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (* K m) 1) -1) 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 (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) in m * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) in m * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* K (+ m n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* K (+ m n)))))) in m * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in m * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (+ 1 (* n K)) into (+ 1 (* n K)) * [misc]backup-simplify: Simplify (log (+ 1 (* n K))) into (log (+ 1 (* n K))) * [misc]backup-simplify: Simplify (+ 1 (log (+ 1 (* n K)))) into (+ 1 (log (+ 1 (* n K)))) * [misc]backup-simplify: Simplify (log (+ 1 (log (+ 1 (* n K))))) into (log (+ 1 (log (+ 1 (* n K))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (log (+ 1 (* n K)))))) into (+ 1 (log (+ 1 (* n K)))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (log (+ 1 (* n K)))) -1) into (log (+ 1 (* n K))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (* n K)))) into (+ 1 (* n K)) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (* n K)) -1) 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 (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) in K * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* K (+ m n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* K (+ m n)))))) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 1) 1)))) into (+ n m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ n m) 0) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 1) 1)))) into (+ n m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ n m) 0) 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 (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) in K * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* K (+ m n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* K (+ m n)))))) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 1) 1)))) into (+ n m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ n m) 0) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 1) 1)))) into (+ n m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ n m) 0) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ n m)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m))))) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m)))))) into (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ n m)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m))))) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (* 2 (pow m 2)) (+ (* 2 (pow n 2)) (* 4 (* n m))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 2) 2)) (* (/ (pow (* -1/2 (+ (* 2 (pow m 2)) (+ (* 2 (pow n 2)) (* 4 (* n m))))) 1) 1)))) into (* -1 (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) 0) into (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 2) 2)) (* (/ (pow (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) 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 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 (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) in M * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in M * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in M * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in M * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in M * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 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 m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (/ 1 n) (/ 1 m)) K)) into (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))) * [misc]backup-simplify: Simplify (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) into (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) * [misc]backup-simplify: Simplify (+ 1 (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))))) into (+ (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) 1) * [misc]backup-simplify: Simplify (log (+ (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) 1)) into (log (+ 1 (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))))))) into (+ (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) 1) * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) 1) -1) into (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))))) into (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))) * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))) -1) into (+ (/ 1 (* n K)) (/ 1 (* m K))) * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* n K)) (/ 1 (* m K))) 2) into (* 1/2 (+ (/ 1 (* m K)) (/ 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 (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) (/ 1 M))) into (cos (- (* 1/2 (expm1 (expm1 (log1p (log1p (/ (+ (/ 1 n) (/ 1 m)) K)))))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) in n * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in n * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (+ 1 (- (log (/ 1 K)) (log n))) into (- (+ 1 (log (/ 1 K))) (log n)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log (/ 1 K))) (log n))) into (log (- (+ 1 (log (/ 1 K))) (log n))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log (/ 1 K))) (log n)))) into (- (+ 1 (log (/ 1 K))) (log n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log (/ 1 K))) (log n)) -1) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log n))) into (exp (- (log (/ 1 K)) (log n))) * [misc]taylor: Taking taylor expansion of 1 in n * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (/ 1 K)) (log n))) -1) into (- (exp (- (log (/ 1 K)) (log n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (/ 1 K)) (log n))) 1) 2) into (* 1/2 (- (exp (- (log (/ 1 K)) (log n))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (/ 1 K)) (log n))) 1)) (- (/ 1 M))) into (- (* 1/2 (exp (- (log (/ 1 K)) (log n)))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (log (/ 1 K)) (log n)))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (log (/ 1 K)) (log n)))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (log (/ 1 K)) (log n)))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (log (/ 1 K)) (log n)))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) in m * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in m * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in m * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (+ 1 (- (log (/ 1 K)) (log m))) into (- (+ 1 (log (/ 1 K))) (log m)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log (/ 1 K))) (log m))) into (log (- (+ 1 (log (/ 1 K))) (log m))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log (/ 1 K))) (log m)))) into (- (+ 1 (log (/ 1 K))) (log m)) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log (/ 1 K))) (log m)) -1) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log m))) into (exp (- (log (/ 1 K)) (log m))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (/ 1 K)) (log m))) -1) into (- (exp (- (log (/ 1 K)) (log m))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (/ 1 K)) (log m))) 1) 2) into (* 1/2 (- (exp (- (log (/ 1 K)) (log m))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (/ 1 K)) (log m))) 1)) (- (/ 1 M))) into (- (* 1/2 (exp (- (log (/ 1 K)) (log m)))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (log (/ 1 K)) (log m)))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (log (/ 1 K)) (log m)))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (log (/ 1 K)) (log m)))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (log (/ 1 K)) (log m)))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) in K * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in K * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ 1 (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]backup-simplify: Simplify (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) into (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) -1) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) -1) into (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) 2) into (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (- (/ 1 M))) into (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 2) in K * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in K * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ 1 (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]backup-simplify: Simplify (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) into (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) -1) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) -1) into (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) 2) into (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (- (/ 1 M))) into (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) 1) into (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) 0) into (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (+ (/ 1 n) (/ 1 m)))) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 1) into (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 1) 1)))) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (+ (/ 1 n) (/ 1 m))) 0) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 1) 1)))) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) 0) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (/ (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) 2) (+ (* (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (/ 0 2)))) into (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) 0) into (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) 1) 1))) into (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))))) (* 0 0)) into (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m))))) into (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m)))))) into (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 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 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 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 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (exp (- (+ (log K) (log m)))) (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)))) into (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) 1) into (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) (* 0 (exp (- (+ (log K) (log m)))))) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) 0) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) 1) 1))) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (* 1/2 (/ (exp (- (+ (log K) (log m)))) n))) (* 0 0)) into (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n))) into (- (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n)))) into (- (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log 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 (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (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 (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) into (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) 1) into (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (exp (- (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) (* 0 (exp (- (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (exp (- (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 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 (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) 2) 2)) 0) into (- (* 1/8 (/ (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) (- (* 1/8 (/ (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (pow (+ (/ 1 n) (/ 1 m)) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2))) into (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 2)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1) 1)))) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) 0) into (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 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 2) (+ (* (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (/ 0 2)) (* (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) 0) (+ (* 0 (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) 0) into (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (pow (+ (/ 1 n) (/ 1 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 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) (pow (+ (/ 1 n) (/ 1 m)) 2)) in m * [misc]taylor: Taking taylor expansion of (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)))) in m * [misc]taylor: Taking taylor expansion of (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 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 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (log (exp (- (+ (log K) (log m))))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 2 (- (+ (log K) (log m)))) into (* -2 (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log K) (log m)))) into (exp (* -2 (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) (+ (/ 1 M) 1/2)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (+ (/ 1 n) (/ 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 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log m))) into (* -2 (log m)) * [misc]backup-simplify: Simplify (exp (* -2 (log m))) into (pow m -2) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log K) (log m)))) (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)))) into (* (exp (* -2 (+ (log K) (log m)))) (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)))) * [misc]backup-simplify: Simplify (/ (* (exp (* -2 (+ (log K) (log m)))) (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)))) (pow m -2)) into (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) * [misc]backup-simplify: Simplify (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)))) into (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 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 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) in n * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* -2 (+ (log K) (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 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 (* -2 (+ (log K) (log m))) into (* -2 (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log K) (log m)))) into (exp (* -2 (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [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 (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)) into (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)) * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) into (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) * [misc]backup-simplify: Simplify (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)))) into (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) in M * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (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 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) in M * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* -2 (+ (log K) (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 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 (* -2 (+ (log K) (log m))) into (* -2 (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log K) (log m)))) into (exp (* -2 (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)) in M * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [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]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 (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)) into (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)) * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) into (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))) * [misc]backup-simplify: Simplify (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)))) into (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (pow m 2))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) into (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) 1/2) into (+ (/ 1 M) 1/2) * [misc]backup-simplify: Simplify (- (+ (/ 1 M) 1/2)) into (- (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (+ (log K) (log m))))) (- (+ (/ 1 M) 1/2))) into (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 1) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) 0) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) into (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) into (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log 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 (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2)) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) 1/2) 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 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) into (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) into (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) into (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log K) (log m))))) (+ (/ 1 M) 1/2))) (exp (- (+ (log K) (log m))))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (* (sin (- (* 1/2 (exp (- (+ (log (/ 1 K)) (log (/ 1 m)))))) (+ (/ 1 (/ 1 M)) 1/2))) (exp (- (+ (log (/ 1 K)) (log (/ 1 m)))))))) (* 1 (* 1 (* (/ 1 m) (/ 1 K))))) (+ (* (- (* 1/8 (* (exp (* -2 (+ (log (/ 1 K)) (log (/ 1 m))))) (* (cos (- (* 1/2 (exp (- (+ (log (/ 1 K)) (log (/ 1 m)))))) (+ (/ 1 (/ 1 M)) 1/2))) (pow (/ 1 m) 2))))) (pow (* 1 (* 1 (* 1 (/ 1 K)))) 2)) (cos (- (* 1/2 (exp (- (+ (log (/ 1 K)) (log (/ 1 m)))))) (+ (/ 1 (/ 1 M)) 1/2))))) into (- (cos (- (* 1/2 (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (+ M 1/2))) (+ (* 1/8 (/ (* (exp (* -2 (+ (log (/ 1 m)) (log (/ 1 K))))) (cos (- (* 1/2 (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (+ M 1/2)))) (* (pow K 2) (pow m 2)))) (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (+ M 1/2))) (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (* m K))))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) in M * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in M * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in M * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in M * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in M * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 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 m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (+ 1 (/ (+ (/ 1 n) (/ 1 m)) K)) into (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))) * [misc]backup-simplify: Simplify (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) into (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) * [misc]backup-simplify: Simplify (+ 1 (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))))) into (+ (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) 1) * [misc]backup-simplify: Simplify (log (+ (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) 1)) into (log (+ 1 (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))))))) into (+ (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) 1) * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) 1) -1) into (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))))) into (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))) * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (+ (/ 1 (* m K)) (/ 1 (* n K)))) -1) into (+ (/ 1 (* n K)) (/ 1 (* m K))) * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* n K)) (/ 1 (* m K))) 2) into (* 1/2 (+ (/ 1 (* m K)) (/ 1 (* n 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 (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (* 1/2 (expm1 (expm1 (log1p (log1p (/ (+ (/ 1 n) (/ 1 m)) K)))))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) in n * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in n * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in n * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (+ 1 (- (log (/ 1 K)) (log n))) into (- (+ 1 (log (/ 1 K))) (log n)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log (/ 1 K))) (log n))) into (log (- (+ 1 (log (/ 1 K))) (log n))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log (/ 1 K))) (log n)))) into (- (+ 1 (log (/ 1 K))) (log n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log (/ 1 K))) (log n)) -1) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log n))) into (exp (- (log (/ 1 K)) (log n))) * [misc]taylor: Taking taylor expansion of 1 in n * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (/ 1 K)) (log n))) -1) into (- (exp (- (log (/ 1 K)) (log n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (/ 1 K)) (log n))) 1) 2) into (* 1/2 (- (exp (- (log (/ 1 K)) (log n))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (/ 1 K)) (log n))) 1)) (/ 1 M)) into (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log n))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log n))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log n))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log n))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log n))))) 1/2)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) in m * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in m * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in m * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (+ 1 (- (log (/ 1 K)) (log m))) into (- (+ 1 (log (/ 1 K))) (log m)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log (/ 1 K))) (log m))) into (log (- (+ 1 (log (/ 1 K))) (log m))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log (/ 1 K))) (log m)))) into (- (+ 1 (log (/ 1 K))) (log m)) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log (/ 1 K))) (log m)) -1) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log m))) into (exp (- (log (/ 1 K)) (log m))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (/ 1 K)) (log m))) -1) into (- (exp (- (log (/ 1 K)) (log m))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (/ 1 K)) (log m))) 1) 2) into (* 1/2 (- (exp (- (log (/ 1 K)) (log m))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (/ 1 K)) (log m))) 1)) (/ 1 M)) into (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log m))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log m))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log m))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log m))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (/ 1 K)) (log m))))) 1/2)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) in K * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in K * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ 1 (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]backup-simplify: Simplify (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) into (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) -1) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) -1) into (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) 2) into (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (/ 1 M)) into (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 2) in K * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in K * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ 1 (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]backup-simplify: Simplify (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) into (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) -1) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) -1) into (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) 2) into (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (/ 1 M)) into (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) 1) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) 0) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) in m * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log 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 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in M * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (+ (/ 1 n) (/ 1 m)))) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 1) into (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 1) 1)))) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (+ (/ 1 n) (/ 1 m))) 0) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 1) 1)))) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) 0) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (/ (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) 2) (+ (* (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (/ 0 2)))) into (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 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 (+ (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) 0) into (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) 1) 1))) into (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))))) (* 0 0)) into (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m))))) into (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m)))))) into (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 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 (/ (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) in m * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log 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 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 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 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (exp (- (+ (log K) (log m)))) (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2))) into (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) 1) into (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 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 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) (* 0 (exp (- (+ (log K) (log m)))))) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ (exp (- (+ (log K) (log m)))) n))) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) 0) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) 1) 1))) into (* 1/2 (/ (exp (- (+ (log K) (log m)))) n)) * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (* 1/2 (/ (exp (- (+ (log K) (log m)))) n))) (* 0 0)) into (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n))) into (- (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n)))) into (- (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log 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 (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (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) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) into (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) 1) into (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (exp (- (+ (log K) (log m)))))) 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 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) (* 0 (exp (- (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (exp (- (+ (log K) (log m)))))) 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 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 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 (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) 2) 2)) 0) into (- (* 1/8 (/ (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) (- (* 1/8 (/ (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (pow (+ (/ 1 n) (/ 1 m)) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2))) into (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 2)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1) 1)))) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) 0) into (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 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 2) (+ (* (* 1/2 (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1)) (/ 0 2)) (* (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m)))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 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) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) 0) (+ (* 0 (* 1/2 (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) 0) into (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (pow (+ (/ 1 n) (/ 1 m)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (pow (+ (/ 1 n) (/ 1 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 (/ (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) (pow (+ (/ 1 n) (/ 1 m)) 2)) in m * [misc]taylor: Taking taylor expansion of (* (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2))) in m * [misc]taylor: Taking taylor expansion of (pow (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 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 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (log (exp (- (+ (log K) (log m))))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 2 (- (+ (log K) (log m)))) into (* -2 (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log K) (log m)))) into (exp (* -2 (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2)) in m * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))))) 1/2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log 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 (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (+ (/ 1 n) (/ 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 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log m))) into (* -2 (log m)) * [misc]backup-simplify: Simplify (exp (* -2 (log m))) into (pow m -2) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log K) (log m)))) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2))) into (* (exp (* -2 (+ (log K) (log m)))) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2))) * [misc]backup-simplify: Simplify (/ (* (exp (* -2 (+ (log K) (log m)))) (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2))) (pow m -2)) into (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) * [misc]backup-simplify: Simplify (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)))) into (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 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 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) in n * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* -2 (+ (log K) (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 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 (* -2 (+ (log K) (log m))) into (* -2 (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log K) (log m)))) into (exp (* -2 (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [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 (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)) into (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)) * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) into (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) * [misc]backup-simplify: Simplify (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)))) into (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) in M * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (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 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) in M * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* -2 (+ (log K) (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 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 (* -2 (+ (log K) (log m))) into (* -2 (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log K) (log m)))) into (exp (* -2 (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)) in M * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in M * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [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]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 (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)) into (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)) * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) into (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))) * [misc]backup-simplify: Simplify (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)))) into (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) into (- (* 1/8 (* (exp (* -2 (+ (log K) (log m)))) (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (pow m 2))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) into (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log 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 (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (exp (- (+ (log K) (log m))))) into (* 1/2 (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) into (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) -1/2) into (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 1) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) 0) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) into (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) into (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log 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 (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) in M * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (exp (- (+ (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 (* 1/2 (exp (- (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) into (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in M * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) into (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) into (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) into (- (* 1/2 (* (sin (- (+ (/ 1 M) (* 1/2 (exp (- (+ (log K) (log m)))))) 1/2)) (exp (- (+ (log K) (log m))))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (* (sin (- (+ (/ 1 (/ 1 (- M))) (* 1/2 (exp (- (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))))) 1/2)) (exp (- (+ (log (/ 1 (- K))) (log (/ 1 (- m))))))))) (* 1 (* 1 (* (/ 1 (- m)) (/ 1 (- K)))))) (+ (* (- (* 1/8 (* (exp (* -2 (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))) (* (cos (- (+ (/ 1 (/ 1 (- M))) (* 1/2 (exp (- (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))))) 1/2)) (pow (/ 1 (- m)) 2))))) (pow (* 1 (* 1 (* 1 (/ 1 (- K))))) 2)) (cos (- (+ (/ 1 (/ 1 (- M))) (* 1/2 (exp (- (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))))) 1/2)))) into (- (cos (- (* 1/2 (exp (- (+ (log (/ -1 m)) (log (/ -1 K)))))) (+ M 1/2))) (+ (* 1/2 (/ (* (exp (- (+ (log (/ -1 m)) (log (/ -1 K))))) (sin (- (* 1/2 (exp (- (+ (log (/ -1 m)) (log (/ -1 K)))))) (+ M 1/2)))) (* m K))) (* 1/8 (/ (* (exp (* -2 (+ (log (/ -1 m)) (log (/ -1 K))))) (cos (- (* 1/2 (exp (- (+ (log (/ -1 m)) (log (/ -1 K)))))) (+ M 1/2)))) (* (pow K 2) (pow m 2)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (log1p (* K (+ m n))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (+ 1 (* K m)) into (+ (* K m) 1) * [misc]backup-simplify: Simplify (log (+ (* K m) 1)) into (log (+ (* K m) 1)) * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (+ 1 (* n K)) into (+ 1 (* n K)) * [misc]backup-simplify: Simplify (log (+ 1 (* n K))) into (log (+ 1 (* n K))) * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ n m)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m))))) * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 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 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m)))) in m * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (pow n 2) (* 2 (* n m))) in m * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]taylor: Taking taylor expansion of (* 2 (* n 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 (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (pow n 2) 0) into (pow n 2) * [misc]backup-simplify: Simplify (+ 0 (pow n 2)) into (pow n 2) * [misc]backup-simplify: Simplify (* -1/2 (pow n 2)) into (* -1/2 (pow n 2)) * [misc]taylor: Taking taylor expansion of (* -1/2 (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 (pow n 2) in n * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ n m)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (+ n m)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (* 1/6 (+ (* 2 (pow m 3)) (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2))))))) * [misc]taylor: Taking taylor expansion of (* 1/6 (+ (* 2 (pow m 3)) (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2))))))) in m * [misc]taylor: Taking taylor expansion of 1/6 in m * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow m 3)) (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (pow m 3)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow m 3) in m * [misc]taylor: Taking taylor expansion of (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2))))) in m * [misc]taylor: Taking taylor expansion of (* 6 (* (pow n 2) m)) in m * [misc]taylor: Taking taylor expansion of 6 in m * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (pow n 2) m) in m * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (pow n 3)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow n 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log n)) 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 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 (* 3 (log n)) into (* 3 (log n)) * [misc]backup-simplify: Simplify (exp (* 3 (log n))) into (pow n 3) * [misc]taylor: Taking taylor expansion of (* 6 (* n (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 6 in m * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* n (pow m 2)) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]backup-simplify: Simplify (* (pow n 2) 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (* 2 (pow n 3)) into (* 2 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* 2 (pow n 3)) 0) into (* 2 (pow n 3)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow n 3))) into (* 2 (pow n 3)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow n 3))) into (* 2 (pow n 3)) * [misc]backup-simplify: Simplify (* 1/6 (* 2 (pow n 3))) into (* 1/3 (pow n 3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (+ (* 2 n) (* 0 0)) into (* 2 n) * [misc]backup-simplify: Simplify (+ 0 (* 2 n)) into (* 2 n) * [misc]backup-simplify: Simplify (+ 0 (* 2 n)) into (* 2 n) * [misc]backup-simplify: Simplify (+ (* -1/2 (* 2 n)) (* 0 (pow n 2))) into (- 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 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 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 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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]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 (/ 0 1)))) 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 (/ (* (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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) in m * [misc]taylor: Taking taylor expansion of -1/2 in m * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (+ (/ 1 n) (/ 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 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log m))) into (* -2 (log m)) * [misc]backup-simplify: Simplify (exp (* -2 (log m))) into (pow m -2) * [misc]backup-simplify: Simplify (/ -1/2 (pow m -2)) into (* -1/2 (pow m 2)) * [misc]taylor: Taking taylor expansion of (* -1/2 (pow m 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 (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 (* -1/2 (pow m 2)) into (* -1/2 (pow m 2)) * [misc]backup-simplify: Simplify (* -1/2 (pow m 2)) into (* -1/2 (pow m 2)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 m) (/ 1 K)))) (+ (* (* -1/2 (pow (/ 1 m) 2)) (pow (* 1 (* 1 (/ 1 K))) 2)) (- (+ (log (/ 1 K)) (log (/ 1 m)))))) into (- (/ 1 (* m K)) (+ (* 1/2 (/ 1 (* (pow m 2) (pow K 2)))) (+ (log (/ 1 m)) (log (/ 1 K))))) * [misc]approximate: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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]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 (/ 0 1)))) 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 (/ (* (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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) in m * [misc]taylor: Taking taylor expansion of -1/2 in m * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (+ (/ 1 n) (/ 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 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log m))) into (* -2 (log m)) * [misc]backup-simplify: Simplify (exp (* -2 (log m))) into (pow m -2) * [misc]backup-simplify: Simplify (/ -1/2 (pow m -2)) into (* -1/2 (pow m 2)) * [misc]taylor: Taking taylor expansion of (* -1/2 (pow m 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 (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 (* -1/2 (pow m 2)) into (* -1/2 (pow m 2)) * [misc]backup-simplify: Simplify (* -1/2 (pow m 2)) into (* -1/2 (pow m 2)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 (- m)) (/ 1 (- K))))) (+ (* (* -1/2 (pow (/ 1 (- m)) 2)) (pow (* 1 (* 1 (/ 1 (- K)))) 2)) (- (+ (log (/ 1 (- K))) (log (/ 1 (- m))))))) into (- (/ 1 (* m K)) (+ (* 1/2 (/ 1 (* (pow m 2) (pow K 2)))) (+ (log (/ -1 m)) (log (/ -1 K))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* K (+ m n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* K (+ m n)))))) in n * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (+ 1 (* K m)) into (+ (* K m) 1) * [misc]backup-simplify: Simplify (log (+ (* K m) 1)) into (log (+ (* K m) 1)) * [misc]backup-simplify: Simplify (+ 1 (log (+ (* K m) 1))) into (+ 1 (log (+ (* K m) 1))) * [misc]backup-simplify: Simplify (log (+ 1 (log (+ (* K m) 1)))) into (log (+ 1 (log (+ (* K m) 1)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (log (+ (* K m) 1))))) into (+ 1 (log (+ (* K m) 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]backup-simplify: Simplify (+ (+ 1 (log (+ (* K m) 1))) -1) into (log (+ (* K m) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (* K m) 1))) into (+ (* K m) 1) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) in m * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* K (+ m n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* K (+ m n)))))) in m * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in m * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (+ 1 (* n K)) into (+ 1 (* n K)) * [misc]backup-simplify: Simplify (log (+ 1 (* n K))) into (log (+ 1 (* n K))) * [misc]backup-simplify: Simplify (+ 1 (log (+ 1 (* n K)))) into (+ 1 (log (+ 1 (* n K)))) * [misc]backup-simplify: Simplify (log (+ 1 (log (+ 1 (* n K))))) into (log (+ 1 (log (+ 1 (* n K))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (log (+ 1 (* n K)))))) into (+ 1 (log (+ 1 (* n K)))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (log (+ 1 (* n K)))) -1) into (log (+ 1 (* n K))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (* n K)))) into (+ 1 (* n K)) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* K (+ m n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* K (+ m n)))))) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 1) 1)))) into (+ n m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ n m) 0) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* K (+ m n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* K (+ m n)))))) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 1) 1)))) into (+ n m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ n m) 0) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 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 (* (exp 0) (+ (* (/ (pow (+ n m) 1) 1)))) into (+ n m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ n m) 0) 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ n m)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m))))) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m)))))) into (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ n m)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m))))) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (* 2 (pow m 2)) (+ (* 2 (pow n 2)) (* 4 (* n m))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 2) 2)) (* (/ (pow (* -1/2 (+ (* 2 (pow m 2)) (+ (* 2 (pow n 2)) (* 4 (* n m))))) 1) 1)))) into (* -1 (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) 0) into (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 2) 2)) (* (/ (pow (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ n m)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (+ n m)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (* 1/6 (+ (* 2 (pow m 3)) (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2))))))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (+ (* 2 (pow m 3)) (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2)))))))) into (+ (* 1/3 (pow m 3)) (+ (* (pow n 2) m) (+ (* n (pow m 2)) (* 1/3 (pow n 3))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ n m)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (+ n m)) 1) (pow (* 2 (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (+ (* 1/3 (pow m 3)) (+ (* (pow n 2) m) (+ (* n (pow m 2)) (* 1/3 (pow n 3)))))) 1)) (pow 1 1)))) 6) into (* 1/6 (+ (* 7 (pow m 3)) (+ (* 21 (* (pow n 2) m)) (+ (* 7 (pow n 3)) (* 21 (* n (pow m 2))))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 3) 6)) (* (/ (pow (+ n m) 1) 1) (/ (pow (* -1/2 (+ (* 2 (pow m 2)) (+ (* 2 (pow n 2)) (* 4 (* n m))))) 1) 1)) (* (/ (pow (* 1/6 (+ (* 7 (pow m 3)) (+ (* 21 (* (pow n 2) m)) (+ (* 7 (pow n 3)) (* 21 (* n (pow m 2))))))) 1) 1)))) into (+ (* 1/3 (pow m 3)) (+ (* (pow n 2) m) (+ (* 1/3 (pow n 3)) (* n (pow m 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (* 1/3 (pow m 3)) (+ (* (pow n 2) m) (+ (* 1/3 (pow n 3)) (* n (pow m 2))))) 0) into (+ (* 1/3 (pow m 3)) (+ (* (pow n 2) m) (+ (* n (pow m 2)) (* 1/3 (pow n 3))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 3) 6)) (* (/ (pow (+ n m) 1) 1) (/ (pow (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) 1) 1)) (* (/ (pow (+ (* 1/3 (pow m 3)) (+ (* (pow n 2) m) (+ (* n (pow m 2)) (* 1/3 (pow n 3))))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in n * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (+ 1 (- (log (/ 1 K)) (log n))) into (- (+ 1 (log (/ 1 K))) (log n)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log (/ 1 K))) (log n))) into (log (- (+ 1 (log (/ 1 K))) (log n))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log (/ 1 K))) (log n)))) into (- (+ 1 (log (/ 1 K))) (log n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log (/ 1 K))) (log n)) -1) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log n))) into (exp (- (log (/ 1 K)) (log n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in m * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in m * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (+ 1 (- (log (/ 1 K)) (log m))) into (- (+ 1 (log (/ 1 K))) (log m)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log (/ 1 K))) (log m))) into (log (- (+ 1 (log (/ 1 K))) (log m))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log (/ 1 K))) (log m)))) into (- (+ 1 (log (/ 1 K))) (log m)) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log (/ 1 K))) (log m)) -1) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log m))) into (exp (- (log (/ 1 K)) (log m))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in K * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ 1 (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]backup-simplify: Simplify (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) into (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) -1) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in K * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))))) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ 1 (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]backup-simplify: Simplify (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) into (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) -1) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) -1) into (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (+ (log K) (log m)))) -1) into (- (exp (- (+ (log K) (log m)))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (- (+ (log K) (log m)))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (+ (log K) (log m)))) -1) into (- (exp (- (+ (log K) (log m)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (+ (log K) (log m)))) 1) into (- (exp (- (+ (log K) (log m)))) 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (+ (/ 1 n) (/ 1 m)))) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 1) into (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 1) 1)))) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (+ (/ 1 n) (/ 1 m))) 0) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 1) 1)))) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) 0) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (- (+ (log K) (log m)))) 1) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (+ (log K) (log m)))) n) 0) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]taylor: Taking taylor expansion of (/ (exp (- (+ (log K) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (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 (- (+ (log K) (log m)))) 1) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log K) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2))) into (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 2)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1) 1)))) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) 0) into (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (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]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 (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log K) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow (+ (/ 1 n) (/ 1 m)) 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 6) into (/ 1/3 (pow (+ (/ 1 n) (/ 1 m)) 3)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (pow (+ (/ 1 n) (/ 1 m)) 3))) into (* 1/3 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 3)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 3))) (* -3 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/3 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 3)))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 6) into (* 1/6 (+ (* 2 (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 3) (pow (+ (/ 1 n) (/ 1 m)) 3)))) (+ (* 2 (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 3)))) (* 3 (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 3))))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 3) 6)) (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 1) 1) (/ (pow (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1) 1)) (* (/ (pow (* 1/6 (+ (* 2 (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 3) (pow (+ (/ 1 n) (/ 1 m)) 3)))) (+ (* 2 (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 3)))) (* 3 (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 3))))))) 1) 1)))) into (/ 1/3 (pow (+ (/ 1 n) (/ 1 m)) 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/3 (pow (+ (/ 1 n) (/ 1 m)) 3)) 0) into (* 1/3 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 3))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 3) 6)) (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 3))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ (exp (- (+ (log K) (log m)))) n) 1) (+ (* (exp (- (+ (log K) (log m)))) (/ (/ 1 n) 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 (+ (* (exp (- (+ (log (/ 1 K)) (log (/ 1 m))))) (* 1 (* (/ 1 m) (/ 1 K)))) (- (exp (- (+ (log (/ 1 K)) (log (/ 1 m))))) 1)) into (- (+ (/ (exp (- (+ (log (/ 1 m)) (log (/ 1 K))))) (* m K)) (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) 1) * [misc]approximate: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in n * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in n * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (+ 1 (- (log (/ 1 K)) (log n))) into (- (+ 1 (log (/ 1 K))) (log n)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log (/ 1 K))) (log n))) into (log (- (+ 1 (log (/ 1 K))) (log n))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log (/ 1 K))) (log n)))) into (- (+ 1 (log (/ 1 K))) (log n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log (/ 1 K))) (log n)) -1) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log n))) into (exp (- (log (/ 1 K)) (log n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in m * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in m * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (+ 1 (- (log (/ 1 K)) (log m))) into (- (+ 1 (log (/ 1 K))) (log m)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log (/ 1 K))) (log m))) into (log (- (+ 1 (log (/ 1 K))) (log m))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log (/ 1 K))) (log m)))) into (- (+ 1 (log (/ 1 K))) (log m)) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log (/ 1 K))) (log m)) -1) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (exp (- (log (/ 1 K)) (log m))) into (exp (- (log (/ 1 K)) (log m))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in K * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ 1 (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]backup-simplify: Simplify (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) into (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) -1) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in K * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))))) in K * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ 1 (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]backup-simplify: Simplify (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) into (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) -1) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) -1) into (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) 1) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (+ (log K) (log m)))) -1) into (- (exp (- (+ (log K) (log m)))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (- (+ (log K) (log m)))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (+ (log K) (log m)))) -1) into (- (exp (- (+ (log K) (log m)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (+ (log K) (log m)))) 1) into (- (exp (- (+ (log K) (log m)))) 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (+ (/ 1 n) (/ 1 m)))) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 1) into (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 1) 1)))) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (+ (/ 1 n) (/ 1 m))) 0) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 1) 1)))) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) 0) into (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) in m * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (- (+ (log K) (log m)))) 1) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (+ (log K) (log m)))) n) 0) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]taylor: Taking taylor expansion of (/ (exp (- (+ (log K) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (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 (- (+ (log K) (log m)))) 1) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log K) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2))) into (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 2)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1) 1)))) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) 0) into (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (exp (- (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (- (+ (log K) (log m)))) into (exp (- (+ (log K) (log m)))) * [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 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (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]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 (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log K) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [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 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow (+ (/ 1 n) (/ 1 m)) 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 6) into (/ 1/3 (pow (+ (/ 1 n) (/ 1 m)) 3)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (pow (+ (/ 1 n) (/ 1 m)) 3))) into (* 1/3 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 3)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 3))) (* -3 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/3 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 3)))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 6) into (* 1/6 (+ (* 2 (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 3) (pow (+ (/ 1 n) (/ 1 m)) 3)))) (+ (* 2 (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 3)))) (* 3 (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 3))))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 3) 6)) (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 1) 1) (/ (pow (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1) 1)) (* (/ (pow (* 1/6 (+ (* 2 (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 3) (pow (+ (/ 1 n) (/ 1 m)) 3)))) (+ (* 2 (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 3)))) (* 3 (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 3))))))) 1) 1)))) into (/ 1/3 (pow (+ (/ 1 n) (/ 1 m)) 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/3 (pow (+ (/ 1 n) (/ 1 m)) 3)) 0) into (* 1/3 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 3))) * [misc]backup-simplify: Simplify (* (exp (- (log (+ (/ 1 n) (/ 1 m))) (log K))) (+ (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 3) 6)) (* (/ (pow (/ 1 (+ (/ 1 n) (/ 1 m))) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 3))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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 (* (exp (- (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ (exp (- (+ (log K) (log m)))) n) 1) (+ (* (exp (- (+ (log K) (log m)))) (/ (/ 1 n) 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 (+ (* (exp (- (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))) (* 1 (* (/ 1 (- m)) (/ 1 (- K))))) (- (exp (- (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))) 1)) into (- (+ (exp (- (+ (log (/ -1 m)) (log (/ -1 K))))) (/ (exp (- (+ (log (/ -1 m)) (log (/ -1 K))))) (* m K))) 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (+ 1 (* K m)) into (+ (* K m) 1) * [misc]backup-simplify: Simplify (log (+ (* K m) 1)) into (log (+ (* K m) 1)) * [misc]backup-simplify: Simplify (+ 1 (log (+ (* K m) 1))) into (+ 1 (log (+ (* K m) 1))) * [misc]backup-simplify: Simplify (log (+ 1 (log (+ (* K m) 1)))) into (log (+ 1 (log (+ (* K m) 1)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (log (+ (* K m) 1))))) into (+ 1 (log (+ (* K m) 1))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in m * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (+ 1 (* n K)) into (+ 1 (* n K)) * [misc]backup-simplify: Simplify (log (+ 1 (* n K))) into (log (+ 1 (* n K))) * [misc]backup-simplify: Simplify (+ 1 (log (+ 1 (* n K)))) into (+ 1 (log (+ 1 (* n K)))) * [misc]backup-simplify: Simplify (log (+ 1 (log (+ 1 (* n K))))) into (log (+ 1 (log (+ 1 (* n K))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (log (+ 1 (* n K)))))) into (+ 1 (log (+ 1 (* n K)))) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* K (+ m n))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* K (+ m n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* K (+ m n))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* K (+ m n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* K (+ m n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* K (+ m n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* K (+ m n))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* K (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (+ 0 (+ n m)) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ n m)) 1)) (pow 1 1)))) 1) into (+ n m) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 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 (* (exp 0) (+ (* (/ (pow (+ n m) 1) 1)))) into (+ n m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ n m) 0) 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ n m)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m))))) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (+ (pow m 2) (+ (pow n 2) (* 2 (* n m)))))) into (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ n m)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m))))) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (* 2 (pow m 2)) (+ (* 2 (pow n 2)) (* 4 (* n m))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 2) 2)) (* (/ (pow (* -1/2 (+ (* 2 (pow m 2)) (+ (* 2 (pow n 2)) (* 4 (* n m))))) 1) 1)))) into (* -1 (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) 0) into (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (pow n 2)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 (pow n 2)) into (* 1/2 (pow n 2)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow n 2)) 0) into (* 1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (pow n 2))) into (* 1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- (* 1/2 (pow n 2))) into (- (* 1/2 (pow n 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (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 (pow n 2) in n * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ n m)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (+ n m)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (* 1/6 (+ (* 2 (pow m 3)) (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2))))))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (+ (* 2 (pow m 3)) (+ (* 6 (* (pow n 2) m)) (+ (* 2 (pow n 3)) (* 6 (* n (pow m 2)))))))) into (+ (* 1/3 (pow m 3)) (+ (* (pow n 2) m) (+ (* n (pow m 2)) (* 1/3 (pow n 3))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ n m)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (+ n m)) 1) (pow (* 2 (- (+ (* 1/2 (pow m 2)) (+ (* 1/2 (pow n 2)) (* n m))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (+ (* 1/3 (pow m 3)) (+ (* (pow n 2) m) (+ (* n (pow m 2)) (* 1/3 (pow n 3)))))) 1)) (pow 1 1)))) 6) into (* 1/6 (+ (* 7 (pow m 3)) (+ (* 21 (* (pow n 2) m)) (+ (* 7 (pow n 3)) (* 21 (* n (pow m 2))))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ n m) 3) 6)) (* (/ (pow (+ n m) 1) 1) (/ (pow (* -1/2 (+ (* 2 (pow m 2)) (+ (* 2 (pow n 2)) (* 4 (* n m))))) 1) 1)) (* (/ (pow (* 1/6 (+ (* 7 (pow m 3)) (+ (* 21 (* (pow n 2) m)) (+ (* 7 (pow n 3)) (* 21 (* n (pow m 2))))))) 1) 1)))) into (+ (* 1/3 (pow m 3)) (+ (* (pow n 2) m) (+ (* 1/3 (pow n 3)) (* n (pow m 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (* 1/3 (pow m 3)) (+ (* (pow n 2) m) (+ (* 1/3 (pow n 3)) (* n (pow m 2))))) 0) into (+ (* 1/3 (pow m 3)) (+ (* (pow n 2) m) (+ (* n (pow m 2)) (* 1/3 (pow n 3))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (pow m 3)) (+ (* (pow n 2) m) (+ (* n (pow m 2)) (* 1/3 (pow n 3))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (pow m 3)) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow m 3) in m * [misc]taylor: Taking taylor expansion of (+ (* (pow n 2) m) (+ (* n (pow m 2)) (* 1/3 (pow n 3)))) in m * [misc]taylor: Taking taylor expansion of (* (pow n 2) m) in m * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]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 (pow m 2)) (* 1/3 (pow n 3))) in m * [misc]taylor: Taking taylor expansion of (* n (pow m 2)) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (pow n 3)) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow n 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log n)) 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 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 (* 3 (log n)) into (* 3 (log n)) * [misc]backup-simplify: Simplify (exp (* 3 (log n))) into (pow n 3) * [misc]backup-simplify: Simplify (* (pow n 2) 0) into 0 * [misc]backup-simplify: Simplify (* 1/3 (pow n 3)) into (* 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow n 3))) into (* 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow n 3))) into (* 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow n 3))) into (* 1/3 (pow n 3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (pow n 2))) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- 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 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 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 (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (+ 1 (- (log (/ 1 K)) (log n))) into (- (+ 1 (log (/ 1 K))) (log n)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log (/ 1 K))) (log n))) into (log (- (+ 1 (log (/ 1 K))) (log n))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log (/ 1 K))) (log n)))) into (- (+ 1 (log (/ 1 K))) (log n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (+ 1 (- (log (/ 1 K)) (log m))) into (- (+ 1 (log (/ 1 K))) (log m)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log (/ 1 K))) (log m))) into (log (- (+ 1 (log (/ 1 K))) (log m))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log (/ 1 K))) (log m)))) into (- (+ 1 (log (/ 1 K))) (log m)) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ 1 (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]backup-simplify: Simplify (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) into (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 K) (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ 1 (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]backup-simplify: Simplify (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) into (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) -1) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (+ (/ 1 n) (/ 1 m)))) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 1) into (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 1) 1)))) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (+ (/ 1 n) (/ 1 m))) 0) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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]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 (/ 0 1)))) 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 (/ (* (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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2))) into (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 2)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1) 1)))) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) 0) into (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (+ (/ 1 n) (/ 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 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 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 (pow m 2) * [misc]backup-simplify: Simplify (* 1/2 (pow m 2)) into (* 1/2 (pow m 2)) * [misc]backup-simplify: Simplify (- (* 1/2 (pow m 2))) into (- (* 1/2 (pow m 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow m 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (pow m 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 (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 (* 1/2 (pow m 2)) into (* 1/2 (pow m 2)) * [misc]backup-simplify: Simplify (- (* 1/2 (pow m 2))) into (- (* 1/2 (pow m 2))) * [misc]backup-simplify: Simplify (- (* 1/2 (pow m 2))) into (- (* 1/2 (pow m 2))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 m) (/ 1 K)))) (+ (* (- (* 1/2 (pow (/ 1 m) 2))) (pow (* 1 (* 1 (/ 1 K))) 2)) (- (+ (log (/ 1 K)) (log (/ 1 m)))))) into (- (/ 1 (* m K)) (+ (* 1/2 (/ 1 (* (pow m 2) (pow K 2)))) (+ (log (/ 1 m)) (log (/ 1 K))))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) * [misc]backup-simplify: Simplify (+ 1 (- (log (/ 1 K)) (log n))) into (- (+ 1 (log (/ 1 K))) (log n)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log (/ 1 K))) (log n))) into (log (- (+ 1 (log (/ 1 K))) (log n))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log (/ 1 K))) (log n)))) into (- (+ 1 (log (/ 1 K))) (log n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (log (/ 1 K)) into (log (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) * [misc]backup-simplify: Simplify (+ 1 (- (log (/ 1 K)) (log m))) into (- (+ 1 (log (/ 1 K))) (log m)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log (/ 1 K))) (log m))) into (log (- (+ 1 (log (/ 1 K))) (log m))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log (/ 1 K))) (log m)))) into (- (+ 1 (log (/ 1 K))) (log m)) * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ 1 (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]backup-simplify: Simplify (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) into (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (log1p (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (log (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 0 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 n) (/ 1 m)))) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]backup-simplify: Simplify (+ 1 (- (log (+ (/ 1 n) (/ 1 m))) (log K))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]backup-simplify: Simplify (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) into (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) into (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) -1) into (- (log (+ (/ 1 n) (/ 1 m))) (log K)) * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 n) (/ 1 m))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]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)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log m)) (- (log K))) into (- (+ (log K) (log m))) * [misc]taylor: Taking taylor expansion of (- (+ (log K) (log m))) in n * [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 K) (log m))) into (- (+ (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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 1) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (+ (/ 1 n) (/ 1 m)))) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 1) into (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 1) 1)))) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (+ (/ 1 n) (/ 1 m))) 0) into (/ 1 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (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]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 (/ 0 1)))) 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 (/ (* (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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 n) (/ 1 m)) 1)))) 2) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2))) into (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (+ (/ 1 n) (/ 1 m)))) 2)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1)) (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)))) (+ (* (/ (pow (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (+ (/ 1 n) (/ 1 m)))) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (* (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) (pow (+ (/ 1 n) (/ 1 m)) 2))) (/ 1 (* (pow (- (+ (log (+ (/ 1 n) (/ 1 m))) 1) (log K)) 2) (pow (+ (/ 1 n) (/ 1 m)) 2))))) 1) 1)))) into (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow (+ (/ 1 n) (/ 1 m)) 2)) 0) into (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ (/ 1 n) (/ 1 m)) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 n) (/ 1 m)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (+ (/ 1 n) (/ 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 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 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 (pow m 2) * [misc]backup-simplify: Simplify (* 1/2 (pow m 2)) into (* 1/2 (pow m 2)) * [misc]backup-simplify: Simplify (- (* 1/2 (pow m 2))) into (- (* 1/2 (pow m 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow m 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (pow m 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 (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 (* 1/2 (pow m 2)) into (* 1/2 (pow m 2)) * [misc]backup-simplify: Simplify (- (* 1/2 (pow m 2))) into (- (* 1/2 (pow m 2))) * [misc]backup-simplify: Simplify (- (* 1/2 (pow m 2))) into (- (* 1/2 (pow m 2))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 (- m)) (/ 1 (- K))))) (+ (* (- (* 1/2 (pow (/ 1 (- m)) 2))) (pow (* 1 (* 1 (/ 1 (- K)))) 2)) (- (+ (log (/ 1 (- K))) (log (/ 1 (- m))))))) into (- (/ 1 (* m K)) (+ (* 1/2 (/ 1 (* (pow m 2) (pow K 2)))) (+ (log (/ -1 m)) (log (/ -1 K))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (expm1 (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (expm1 (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 2 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (log1p (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (log1p (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 3 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (* (sin (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (58 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: [ 4 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (* (sin (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (58 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: [ 5 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2)) (cos M)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [enter]simplify: Simplifying (* (sin (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2)) (sin M)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sin (* (/ K 2) (+ m n))) (sin M)) * [exit]simplify: Simplified to (* (sin (* (/ K 2) (+ m n))) (sin M)) * * * * [misc]progress: [ 6 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (log (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (log (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 8 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (exp (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (exp (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 9 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M))) (cbrt (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) (cbrt (cos (fma (/ K 2) (+ m n) (- M))))) * [exit]simplify: Simplified to (* (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) (cbrt (cos (fma (/ K 2) (+ m n) (- M))))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 10 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M)) (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M))) (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (pow (cos (fma (/ K 2) (+ m n) (- M))) 3) * [exit]simplify: Simplified to (pow (cos (fma (/ K 2) (+ m n) (- M))) 3) * * * * [misc]progress: [ 11 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (sqrt (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (sqrt (cos (fma (/ K 2) (+ m n) (- M)))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) 2) M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (sqrt (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (sqrt (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 12 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* K (+ m n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (fma (+ n m) K 1) * [exit]simplify: Simplified to (fma (+ n m) K 1) * * * * [misc]progress: [ 14 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (+ m n) K) * [exit]simplify: Simplified to (* (+ m n) K) * * * * [misc]progress: [ 15 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log1p (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (log1p (log1p (* (+ m n) K))) * * * * [misc]progress: [ 16 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (log (log1p (* (+ m n) K))) * * * * [misc]progress: [ 19 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (exp (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (exp (log1p (* (+ m n) K))) * * * * [misc]progress: [ 20 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (* K (+ m n)))) (cbrt (log1p (* K (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (* (+ m n) K))) (cbrt (log1p (* (+ m n) K)))) * [exit]simplify: Simplified to (* (cbrt (log1p (* (+ m n) K))) (cbrt (log1p (* (+ m n) K)))) * [enter]simplify: Simplifying (cbrt (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (cbrt (log1p (* (+ m n) K))) * * * * [misc]progress: [ 21 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (* K (+ m n))) (log1p (* K (+ m n)))) (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (pow (log1p (* (+ m n) K)) 3) * [exit]simplify: Simplified to (pow (log1p (* (+ m n) K)) 3) * * * * [misc]progress: [ 22 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (sqrt (log1p (* (+ m n) K))) * [enter]simplify: Simplifying (sqrt (log1p (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (sqrt (log1p (* (+ m n) K))) * * * * [misc]progress: [ 23 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (log1p (log1p (* K (+ m n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (exp (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (exp (log1p (* (+ m n) K))) * * * * [misc]progress: [ 25 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (expm1 (log1p (log1p (* K (+ m n))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (expm1 (* (+ m n) K)) * [exit]simplify: Simplified to (expm1 (* (+ m n) K)) * * * * [misc]progress: [ 26 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (expm1 (log1p (log1p (* K (+ m n))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (log1p (* (+ m n) K)) * [exit]simplify: Simplified to (log1p (* (+ m n) K)) * * * * [misc]progress: [ 27 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (expm1 (log1p (log1p (* K (+ m n))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (log (* (+ m n) K)) * [exit]simplify: Simplified to (log (* (+ m n) K)) * * * * [misc]progress: [ 30 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (expm1 (log1p (log1p (* K (+ m n))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (pow (exp K) (+ m n)) * [exit]simplify: Simplified to (pow (exp K) (+ m n)) * * * * [misc]progress: [ 31 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (expm1 (log1p (log1p (* K (+ m n))))))) (cbrt (expm1 (expm1 (log1p (log1p (* K (+ m n)))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 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 (expm1 (expm1 (log1p (log1p (* K (+ m n))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * * * * [misc]progress: [ 32 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) (expm1 (expm1 (log1p (log1p (* K (+ m n))))))) (expm1 (expm1 (log1p (log1p (* K (+ m n))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (pow (* (+ m n) K) 3) * [exit]simplify: Simplified to (pow (* (+ m n) K) 3) * * * * [misc]progress: [ 33 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (expm1 (log1p (log1p (* K (+ m n))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [enter]simplify: Simplifying (sqrt (expm1 (expm1 (log1p (log1p (* K (+ m n))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * * * * [misc]progress: [ 34 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (log1p (* K (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (exp (log1p (log1p (* (+ m n) K)))) * [exit]simplify: Simplified to (exp (log1p (log1p (* (+ m n) K)))) * * * * [misc]progress: [ 36 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (log1p (log1p (* K (+ m n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (+ m n) K) * [exit]simplify: Simplified to (* (+ m n) K) * * * * [misc]progress: [ 37 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (log1p (log1p (* K (+ m n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (log1p (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (log1p (log1p (* (+ m n) K))) * * * * [misc]progress: [ 38 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (log1p (log1p (* K (+ m n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (log (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (log (log1p (* (+ m n) K))) * * * * [misc]progress: [ 41 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (log1p (log1p (* K (+ m n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (exp (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (exp (log1p (* (+ m n) K))) * * * * [misc]progress: [ 42 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (log1p (log1p (* K (+ m n)))))) (cbrt (expm1 (log1p (log1p (* K (+ m n))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (* (+ m n) K))) (cbrt (log1p (* (+ m n) K)))) * [exit]simplify: Simplified to (* (cbrt (log1p (* (+ m n) K))) (cbrt (log1p (* (+ m n) K)))) * [enter]simplify: Simplifying (cbrt (expm1 (log1p (log1p (* K (+ m n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (cbrt (log1p (* (+ m n) K))) * * * * [misc]progress: [ 43 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (log1p (log1p (* K (+ m n))))) (expm1 (log1p (log1p (* K (+ m n)))))) (expm1 (log1p (log1p (* K (+ m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (pow (log1p (* (+ m n) K)) 3) * [exit]simplify: Simplified to (pow (log1p (* (+ m n) K)) 3) * * * * [misc]progress: [ 44 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (log1p (* K (+ m n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (sqrt (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (sqrt (log1p (* (+ m n) K))) * [enter]simplify: Simplifying (sqrt (expm1 (log1p (log1p (* K (+ m n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (sqrt (log1p (* (+ m n) K))) * [exit]simplify: Simplified to (sqrt (log1p (* (+ m n) K))) * * * * [misc]progress: [ 45 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 57 ] 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 (35 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 47 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (cos (- (* 1/2 (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (+ M 1/2))) (+ (* 1/8 (/ (* (exp (* -2 (+ (log (/ 1 m)) (log (/ 1 K))))) (cos (- (* 1/2 (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (+ M 1/2)))) (* (pow K 2) (pow m 2)))) (* 1/2 (/ (* (sin (- (* 1/2 (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (+ M 1/2))) (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) (* m K))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (354 enodes) * [exit]simplify: Simplified to (* (- (cos (- (* (* m K) 1/2) (+ M 1/2))) (+ (* (/ (* 1/8 (pow (/ 1 (* m K)) -2)) m) (/ (cos (- (* (* m K) 1/2) (+ M 1/2))) (* (* m K) K))) (* (/ (sin (- (* (* m K) 1/2) (+ M 1/2))) (* m K)) (* (* m K) 1/2)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 48 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (cos (- (* 1/2 (exp (- (+ (log (/ -1 m)) (log (/ -1 K)))))) (+ M 1/2))) (+ (* 1/2 (/ (* (exp (- (+ (log (/ -1 m)) (log (/ -1 K))))) (sin (- (* 1/2 (exp (- (+ (log (/ -1 m)) (log (/ -1 K)))))) (+ M 1/2)))) (* m K))) (* 1/8 (/ (* (exp (* -2 (+ (log (/ -1 m)) (log (/ -1 K))))) (cos (- (* 1/2 (exp (- (+ (log (/ -1 m)) (log (/ -1 K)))))) (+ M 1/2)))) (* (pow K 2) (pow m 2)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (339 enodes) * [exit]simplify: Simplified to (* (- (cos (- (/ (/ 1/2 (/ -1 m)) (/ -1 K)) (+ M 1/2))) (fma (/ (cos (- (/ (/ 1/2 (/ -1 m)) (/ -1 K)) (+ M 1/2))) (/ (* (* m m) (* K K)) (pow (* (/ -1 m) (/ -1 K)) -2))) 1/8 (* (/ (/ (/ 1/2 (/ -1 m)) (/ -1 K)) (* m K)) (sin (- (/ (/ 1/2 (/ -1 m)) (/ -1 K)) (+ M 1/2)))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 49 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (expm1 (expm1 (log1p (+ (* m K) (* n K))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (expm1 (* (+ m n) K)) 2) M)) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 50 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (expm1 (expm1 (log1p (- (/ 1 (* m K)) (+ (* 1/2 (/ 1 (* (pow m 2) (pow K 2)))) (+ (log (/ 1 m)) (log (/ 1 K)))))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (cos (- (/ (expm1 (- (+ (/ 1 (* K m)) (+ (log K) (log m))) (/ (/ (/ 1/2 K) K) (* m m)))) 2) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 51 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (expm1 (expm1 (log1p (- (/ 1 (* m K)) (+ (* 1/2 (/ 1 (* (pow m 2) (pow K 2)))) (+ (log (/ -1 m)) (log (/ -1 K)))))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (* (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) (cos (- (/ (expm1 (- (- (/ 1 (* K m)) (log (/ -1 m))) (fma (/ (/ 1/2 m) m) (/ 1 (* K K)) (log (/ -1 K))))) 2) M))) * * * * [misc]progress: [ 52 / 57 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 53 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (- (+ (/ (exp (- (+ (log (/ 1 m)) (log (/ 1 K))))) (* m K)) (exp (- (+ (log (/ 1 m)) (log (/ 1 K)))))) 1) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (fma m K 1) 2) (+ (/ 1 2) M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 54 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (- (+ (exp (- (+ (log (/ -1 m)) (log (/ -1 K))))) (/ (exp (- (+ (log (/ -1 m)) (log (/ -1 K))))) (* m K))) 1) 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 (74 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (fma (/ 1 (* K (/ -1 m))) (/ (/ 1 (/ -1 K)) m) (fma (/ 1 (/ -1 m)) (/ 1 (/ -1 K)) (- 1))) 2) M)) (exp (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 55 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (expm1 (+ (* m K) (* n K))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (expm1 (* (+ m n) K)) 2) M)) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 56 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (expm1 (- (/ 1 (* m K)) (+ (* 1/2 (/ 1 (* (pow m 2) (pow K 2)))) (+ (log (/ 1 m)) (log (/ 1 K)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) (cos (- (/ (expm1 (- (+ (/ 1 (* K m)) (+ (log m) (log K))) (/ (/ (/ 1/2 m) m) (* K K)))) 2) M))) * * * * [misc]progress: [ 57 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (expm1 (- (/ 1 (* m K)) (+ (* 1/2 (/ 1 (* (pow m 2) (pow K 2)))) (+ (log (/ -1 m)) (log (/ -1 K)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) (cos (- (/ (expm1 (- (- (/ 1 (* K m)) (log (/ -1 m))) (fma (/ 1/2 (* m m)) (/ 1 (* K K)) (log (/ -1 K))))) 2) 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 +nan.0)) , with alts (#) * [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 (21 enodes) * [exit]simplify: Simplified to (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 493 additional inputs, on iter 1 have 7507 / 8000 * * * * [misc]points: Computing exacts on every 30 of 493 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 493 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 493 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 493 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 493 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 22 additional inputs, on iter 2 have 7978 / 8000 * * * * [misc]points: Computing exacts for 22 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs