* [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: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 1 have 245 / 256 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 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 (89 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (* (cos (- (* (+ m n) (/ K 2)) M)) (exp (- (fabs (- m n)) l))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * * [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 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 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 (- (/ (* 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 (+ m n) * [misc]backup-simplify: Simplify (* K (+ m n)) into (* K (+ m n)) * [misc]backup-simplify: Simplify (/ (* K (+ m n)) 2) into (* 1/2 (* K (+ m n))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* K (+ m n))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) * [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 (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K 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 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) 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 (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [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 (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [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 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m * [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]taylor: Taking taylor expansion of (* 1/2 (* m (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 (* m (sin (- M))) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (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 (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) 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 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ m n)) (/ 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 m) (* 1/2 n))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m * [misc]taylor: Taking taylor expansion of (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 (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m * [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]taylor: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* m (* (cos (- 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 (* (cos (- M)) n) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (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 (* (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)) n) into (* (cos (- M)) n) * [misc]backup-simplify: Simplify (* 0 (* (cos (- M)) n)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) 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)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0 (* 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 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 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 m) (/ 1 n)) K) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 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 (* K n)))) (/ 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 (* K n)))) (/ 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 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 m) (/ 1 n))) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 m) (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 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 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 m) (/ 1 n))) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 m) (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) 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 (* K 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 (* K n)) in m * [misc]taylor: Taking taylor expansion of (* K 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 n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* K n) into (* K n) * [misc]backup-simplify: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]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 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) 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 (* K 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 (* K n)) in n * [misc]taylor: Taking taylor expansion of (* K 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) 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 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) 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 (* K 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 (* K n)) in M * [misc]taylor: Taking taylor expansion of (* K 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 n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* K n) into (* K n) * [misc]backup-simplify: Simplify (/ 1 (* K n)) into (/ 1 (* K 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 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 K) (/ 1 n))))) (/ 1 (/ 1 M)))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 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 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 m) (/ 1 n)))) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 m) (/ 1 n)) K) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 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 (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) * [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 (* K n)))))) * [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 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 m) (/ 1 n)))) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 m) (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) * [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 (* K n)))))) * [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 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 m) (/ 1 n)))) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 m) (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) * [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 (* K n)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K 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 (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) 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 (* K 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 (* K n)) in m * [misc]taylor: Taking taylor expansion of (* K 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 n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* K n) into (* K n) * [misc]backup-simplify: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) * [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 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) 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 (* K 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 (* K n)) in n * [misc]taylor: Taking taylor expansion of (* K 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) 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 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K 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 (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) 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 (* K 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 (* K n)) in M * [misc]taylor: Taking taylor expansion of (* K 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 n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* K n) into (* K n) * [misc]backup-simplify: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) * [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 (- K)) (/ 1 (- n)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (- l (fabs (- m n))) in (l m n) around 0 * [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 (- 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 (- 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 (- l (fabs (- m n))) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) * [misc]taylor: Taking taylor expansion of (- (fabs (- m n))) in m * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]taylor: Taking taylor expansion of (- (fabs (- 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]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 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) 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 (* 1 (* 1 l))) (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]approximate: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in (l m n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]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 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) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (- (fabs (- (/ 1 (/ 1 m)) (/ 1 (/ 1 n))))) (* 1 (* 1 (* 1 (/ 1 (/ 1 l)))))) into (- l (fabs (- m n))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in (l m n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in n * [misc]taylor: Taking taylor expansion of (- l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in m * [misc]taylor: Taking taylor expansion of (- l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in m * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- (/ 1 n) (/ 1 m))))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 n) (/ 1 m)))) 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]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 n) (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (- (fabs (- (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- m)))))) (* -1 (* 1 (* 1 (/ 1 (/ 1 (- l))))))) into (- l (fabs (- m n))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 m) (* 1/2 n))) into (log (+ (* 1/2 m) (* 1/2 n))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 m) (* 1/2 n)))) into (* 2 (log (+ (* 1/2 m) (* 1/2 n)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 m) (* 1/2 n))))) into (pow (+ (* 1/2 m) (* 1/2 n)) 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 (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (exp (* 2 (+ (log M) (log -1)))))) * [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 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 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 (- 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))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2)))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 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))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2)))) 1) 1)))) into (* (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) in n * [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 (/ 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 (* 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 (+ 0 1) 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 (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 4 (pow M 2)) 0) 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 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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 (* (- (* 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 (- 0) into 0 * [misc]backup-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))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2)))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 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))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2)))) 1) 1)))) into (* (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log -1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log -1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) in n * [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 (/ 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 (* 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 (+ 0 1) 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 (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 4 (pow M 2)) 0) 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]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (* K (+ m n)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) * [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]taylor: Taking 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 (+ m n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 (+ m n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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) (* K n)) * [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 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 m) (/ 1 n))) into (+ (/ 1 m) (/ 1 n)) * [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]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 m) (/ 1 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) 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 m) (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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]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 m) (/ 1 n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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) (* K n)) * [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 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 m) (/ 1 n)))) into (+ (/ 1 m) (/ 1 n)) * [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]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 m) (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) 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 m) (/ 1 n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]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]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 m) (/ 1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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) (* K n)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ m n) (/ 2 K))) (cos M)) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (- (* (cos (/ (+ m n) (/ 2 K))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ m n) (/ 2 K))) (cos M)) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (- (* (cos (/ (+ m n) (/ 2 K))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (+ (* (cos M) (cos (* (/ K 2) (+ m n)))) (* (sin (/ (* K (+ m n)) 2)) (sin M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 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))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (exp (* 2 (log (- (/ (+ n m) 2) M))))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ m n) 2) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ n m) 2) M) (* 1 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 25 / 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)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (* (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (pow (cbrt (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 26 / 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) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (* (- (/ (+ n m) 2) M) (pow (sqrt (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (* 1 (pow (- (/ (+ m n) 2) M) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* K n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* K n) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (+ (* K m) (* K n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* n K) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* n K) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (+ (* m K) (* n K)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n m)) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ n m))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ n m)) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (* (* K (sqrt (+ m n))) (sqrt (+ n m))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ m n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n m) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (* (* K 1) (+ n m)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* m m) (- (* n n) (* m n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* n n) (* (- n m) m)) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (/ (* K (+ (pow m 3) (pow n 3))) (- (* n n) (* (- n m) m))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- m n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- m n) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (/ (* K (- (* m m) (* n n))) (- m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (cos (- (* (+ m n) (* 1/2 K)) M)) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* (cos (- (* (+ m n) (* 1/2 K)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (cos (- (* (+ m n) (* 1/2 K)) M)) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* (cos (- (* (+ m n) (* 1/2 K)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- l (fabs (- m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- l (fabs (- m n))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- l (fabs (- m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- l (fabs (- m n))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- l (fabs (- m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- l (fabs (- m n))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (exp (* 2 (+ (log M) (log -1)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (+ (* M M) (* (+ (* 1/4 m) (* 1/2 n)) m)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (+ (* M M) (* (+ (* 1/4 m) (* 1/2 n)) m))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (- (log 1/2) (log (/ 1 m))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (* (* 1/2 m) (* 1/2 m)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (* (* 1/2 m) (* 1/2 m))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (- (log -1/2) (log (/ -1 m))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * [exit]simplify: Simplified to (* (* (/ -1/2 -1) m) (* (/ -1/2 -1) m)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (* (* (/ -1/2 -1) m) (* (/ -1/2 -1) m))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* m K) (* K n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* K (+ n m)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ n m)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* m K) (* K n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* K (+ n m)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ n m)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* m K) (* K n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* K (+ n m)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ n m)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- 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 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (- l (fabs (- m n))) in (l m n) around 0 * [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 (- 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 (- 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 (- l (fabs (- m n))) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) * [misc]taylor: Taking taylor expansion of (- (fabs (- m n))) in m * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]taylor: Taking taylor expansion of (- (fabs (- 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]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 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) 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 (* 1 (* 1 l))) (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]approximate: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in (l m n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]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 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) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (- (fabs (- (/ 1 (/ 1 m)) (/ 1 (/ 1 n))))) (* 1 (* 1 (* 1 (/ 1 (/ 1 l)))))) into (- l (fabs (- m n))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in (l m n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in n * [misc]taylor: Taking taylor expansion of (- l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in m * [misc]taylor: Taking taylor expansion of (- l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in m * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- (/ 1 n) (/ 1 m))))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 n) (/ 1 m)))) 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]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 n) (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (- (fabs (- (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- m)))))) (* -1 (* 1 (* 1 (/ 1 (/ 1 (- l))))))) into (- l (fabs (- m n))) * * * * [misc]progress: [ 2 / 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 (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 m) (* 1/2 n))) into (log (+ (* 1/2 m) (* 1/2 n))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 m) (* 1/2 n)))) into (* 2 (log (+ (* 1/2 m) (* 1/2 n)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 m) (* 1/2 n))))) into (pow (+ (* 1/2 m) (* 1/2 n)) 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 (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (exp (* 2 (+ (log M) (log -1)))))) * [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 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 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 (- 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))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2)))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 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))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2)))) 1) 1)))) into (* (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) in n * [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 (/ 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 (* 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 (+ 0 1) 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 (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 4 (pow M 2)) 0) 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 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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 (* (- (* 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 (- 0) into 0 * [misc]backup-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))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2)))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 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))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2)))) 1) 1)))) into (* (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log -1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log -1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) in n * [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 (/ 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 (* 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 (+ 0 1) 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 (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 4 (pow M 2)) 0) 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]progress: simplifying candidates * * * * [misc]progress: [ 1 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 31 ] 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))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (exp (* 2 (log (- (/ (+ n m) 2) M))))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 13 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ m n) 2) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ n m) 2) M) (* 1 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 15 / 31 ] 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)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (* (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (pow (cbrt (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 16 / 31 ] 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) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (* (- (/ (+ n m) 2) M) (pow (sqrt (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 17 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (* 1 (pow (- (/ (+ m n) 2) M) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 18 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (- l (fabs (- m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- l (fabs (- m n))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 27 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (- l (fabs (- m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- l (fabs (- m n))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 28 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (- l (fabs (- m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- l (fabs (- m n))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 29 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (exp (* 2 (+ (log M) (log -1)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (+ (* M M) (* (+ (* 1/4 m) (* 1/2 n)) m)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (+ (* M M) (* (+ (* 1/4 m) (* 1/2 n)) m))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 30 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (- (log 1/2) (log (/ 1 m))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (* (* 1/2 m) (* 1/2 m)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (* (* 1/2 m) (* 1/2 m))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 31 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (- (log -1/2) (log (/ -1 m))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * [exit]simplify: Simplified to (* (* (/ -1/2 -1) m) (* (/ -1/2 -1) m)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (* (* (/ -1/2 -1) m) (* (/ -1/2 -1) m))) (- l (fabs (- m n))))))) * * * [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 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in M * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (* (cbrt (+ m n)) (cbrt (+ m n))) in M * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in M * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (log (+ m n)) into (log (+ m n)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ m n))) into (* 1/3 (log (+ m n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ m n)))) into (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in M * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (log (+ m n)) into (log (+ m n)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ m n))) into (* 1/3 (log (+ m n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ m n)))) into (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in M * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (log (+ m n)) into (log (+ m n)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ m n))) into (* 1/3 (log (+ m n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ m n)))) into (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ m n) 1/3) (pow (+ m n) 1/3)) into (pow (pow (+ m n) 2) 1/3) * [misc]backup-simplify: Simplify (* K (pow (pow (+ m n) 2) 1/3)) into (* K (pow (pow (+ m n) 2) 1/3)) * [misc]backup-simplify: Simplify (* (* K (pow (pow (+ m n) 2) 1/3)) (pow (+ m n) 1/3)) into (* K (+ m n)) * [misc]backup-simplify: Simplify (/ (* K (+ m n)) 2) into (* 1/2 (* K (+ m n))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* K (+ m n))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in n * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (* (cbrt (+ m n)) (cbrt (+ m n))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow m 1/3) (pow m 1/3)) into (pow (pow m 2) 1/3) * [misc]backup-simplify: Simplify (* K (pow (pow m 2) 1/3)) into (* K (pow (pow m 2) 1/3)) * [misc]backup-simplify: Simplify (* (* K (pow (pow m 2) 1/3)) (pow m 1/3)) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in m * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (* (cbrt (+ m n)) (cbrt (+ m n))) in m * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow n 1/3) (pow n 1/3)) into (pow (pow n 2) 1/3) * [misc]backup-simplify: Simplify (* K (pow (pow n 2) 1/3)) into (* K (pow (pow n 2) 1/3)) * [misc]backup-simplify: Simplify (* (* K (pow (pow n 2) 1/3)) (pow n 1/3)) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K 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 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in K * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ m n)) (cbrt (+ m n))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (log (+ m n)) into (log (+ m n)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ m n))) into (* 1/3 (log (+ m n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ m n)))) into (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (log (+ m n)) into (log (+ m n)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ m n))) into (* 1/3 (log (+ m n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ m n)))) into (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (log (+ m n)) into (log (+ m n)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ m n))) into (* 1/3 (log (+ m n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ m n)))) into (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ m n) 1/3) (pow (+ m n) 1/3)) into (pow (pow (+ m n) 2) 1/3) * [misc]backup-simplify: Simplify (* 0 (pow (pow (+ m n) 2) 1/3)) into 0 * [misc]backup-simplify: Simplify (* 0 (pow (+ m n) 1/3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ m n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ m n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ m n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ m n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ m n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ m n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ m n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ m n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ m n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ m n) 1/3) 0) (* 0 (pow (+ m n) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (pow (+ m n) 2) 1/3))) into (pow (pow (+ m n) 2) 1/3) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (pow (pow (+ m n) 2) 1/3) (pow (+ m n) 1/3))) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in K * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ m n)) (cbrt (+ m n))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (log (+ m n)) into (log (+ m n)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ m n))) into (* 1/3 (log (+ m n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ m n)))) into (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (log (+ m n)) into (log (+ m n)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ m n))) into (* 1/3 (log (+ m n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ m n)))) into (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (log (+ m n)) into (log (+ m n)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ m n))) into (* 1/3 (log (+ m n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ m n)))) into (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ m n) 1/3) (pow (+ m n) 1/3)) into (pow (pow (+ m n) 2) 1/3) * [misc]backup-simplify: Simplify (* 0 (pow (pow (+ m n) 2) 1/3)) into 0 * [misc]backup-simplify: Simplify (* 0 (pow (+ m n) 1/3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ m n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ m n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ m n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ m n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ m n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ m n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ m n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ m n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ m n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ m n) 1/3) 0) (* 0 (pow (+ m n) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (pow (+ m n) 2) 1/3))) into (pow (pow (+ m n) 2) 1/3) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (pow (pow (+ m n) 2) 1/3) (pow (+ m n) 1/3))) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [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 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m * [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]taylor: Taking taylor expansion of (* 1/2 (* m (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 (* m (sin (- M))) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (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 (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) 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 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ m n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ m n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ m n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ m n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ m n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ m n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ m n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ m n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ m n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ m n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ m n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ m n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ m n) 1/3) 0) (+ (* 0 0) (* 0 (pow (+ m n) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (pow (+ m n) 2) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (pow (pow (+ m n) 2) 1/3) 0) (* 0 (pow (+ m n) 1/3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ m n)) (/ 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 m) (* 1/2 n))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m * [misc]taylor: Taking taylor expansion of (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 (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m * [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]taylor: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* m (* (cos (- 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 (* (cos (- M)) n) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (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 (* (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)) n) into (* (cos (- M)) n) * [misc]backup-simplify: Simplify (* 0 (* (cos (- M)) n)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) 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)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0 (* 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 n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) into (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) into (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify 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 m) (/ 1 n)) * [misc]backup-simplify: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) into (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) into (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify 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 m) (/ 1 n)) * [misc]backup-simplify: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) into (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) into (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ (/ 1 m) (/ 1 n)) 1/3) (pow (+ (/ 1 m) (/ 1 n)) 1/3)) into (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3) * [misc]backup-simplify: Simplify (* (/ 1 K) (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3)) into (* (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3) (/ 1 K)) * [misc]backup-simplify: Simplify (* (* (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3) (/ 1 K)) (pow (+ (/ 1 m) (/ 1 n)) 1/3)) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 m) (/ 1 n)) K) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 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 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) into (cos (- (* 1/2 (/ (pow (cbrt (+ (/ 1 m) (/ 1 n))) 3) K)) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow n -1/3) (pow n -1/3)) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (* (/ 1 K) (pow (/ 1 (pow n 2)) 1/3)) into (* (/ 1 K) (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (* (* (/ 1 K) (pow (/ 1 (pow n 2)) 1/3)) (pow n -1/3)) into (/ 1 (* K n)) * [misc]backup-simplify: Simplify (/ (/ 1 (* K n)) 2) into (/ 1/2 (* K 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 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* K n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow m -1/3) (pow m -1/3)) into (pow (/ 1 (pow m 2)) 1/3) * [misc]backup-simplify: Simplify (* (/ 1 K) (pow (/ 1 (pow m 2)) 1/3)) into (* (/ 1 K) (pow (/ 1 (pow m 2)) 1/3)) * [misc]backup-simplify: Simplify (* (* (/ 1 K) (pow (/ 1 (pow m 2)) 1/3)) (pow m -1/3)) into (/ 1 (* K m)) * [misc]backup-simplify: Simplify (/ (/ 1 (* K m)) 2) into (/ 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* K m)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* K m))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) into (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) into (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) into (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) into (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) into (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) into (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ (/ 1 m) (/ 1 n)) 1/3) (pow (+ (/ 1 m) (/ 1 n)) 1/3)) into (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3) * [misc]backup-simplify: Simplify (* 1 (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3)) into (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3) (pow (+ (/ 1 m) (/ 1 n)) 1/3)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 m) (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) into (cos (- (* 1/2 (/ (pow (cbrt (+ (/ 1 m) (/ 1 n))) 3) K)) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) into (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) into (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) into (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) into (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) into (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) into (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ (/ 1 m) (/ 1 n)) 1/3) (pow (+ (/ 1 m) (/ 1 n)) 1/3)) into (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3) * [misc]backup-simplify: Simplify (* 1 (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3)) into (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3) (pow (+ (/ 1 m) (/ 1 n)) 1/3)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 m) (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) into (cos (- (* 1/2 (/ (pow (cbrt (+ (/ 1 m) (/ 1 n))) 3) K)) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ (pow (cbrt (+ (/ 1 m) (/ 1 n))) 3) K)) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow (cbrt (+ (/ 1 m) (/ 1 n))) 3) K)) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cbrt (+ (/ 1 m) (/ 1 n))) 3) K)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (cbrt (+ (/ 1 m) (/ 1 n))) 3) K) in m * [misc]taylor: Taking taylor expansion of (pow (cbrt (+ (/ 1 m) (/ 1 n))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (+ (/ 1 m) (/ 1 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 (cbrt (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]backup-simplify: Simplify (log (pow m -1/3)) into (log (pow m -1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow m -1/3))) into (* 3 (log (pow m -1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow m -1/3)))) into (pow (pow m -1/3) 3) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (pow (pow m -1/3) 3) K) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (* m K))) into (/ 1/2 (* m K)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* m K)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 1) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (* m K))) into (/ 1/2 (* m K)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* m K)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 1) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (pow (/ 1 m) 1/3) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 m) 1/3) (/ 1 n)))) 1)) (pow (pow m -1/3) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (* 0 (log (pow m -1/3)))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow m -1/3)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 (* m n)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* m n)) K) (+ (* (/ 1 (* m K)) (/ 0 K)))) into (/ 1 (* m (* n K))) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (* m (* n K)))) (* 0 (/ 1 (* m K)))) into (* 1/2 (/ 1 (* m (* K n)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (* m (* K n)))) 0) into (* 1/2 (/ 1 (* m (* K n)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 (/ 1 (* m (* K n)))) 1) 1))) into (* 1/2 (/ 1 (* m (* K n)))) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* 1/2 (/ 1 (* m (* K n))))) (* 0 0)) into (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m (* n K)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m (* n K))))) into (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m (* K n))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m (* K n)))))) into (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m (* K n))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m (* K n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m (* K 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 (/ 1 (* m K))) (/ 1 M))) (* m (* K n))) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (* m K))) into (/ 1/2 (* m K)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* m K)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (* m (* K 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 (* K 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 1) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* m K) (* 0 0)) into (* m K) * [misc]backup-simplify: Simplify (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m K)) into (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m K)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* m 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* m K)) (/ 0 (* m K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* m K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* m 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* m K)) (+ (* (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m K)) (/ 0 (* m K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m K)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* m 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* m K)) (/ 0 (* m K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* m K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M)))) into (cos (- (* 1/2 (* m K)) M)) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in M * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 m) (/ 1 n)))) into (log (- (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 m) (/ 1 n)))))) into (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking 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 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 m) (/ 1 n)))) into (log (- (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 m) (/ 1 n)))))) into (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking 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 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 m) (/ 1 n)))) into (log (- (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 m) (/ 1 n)))))) into (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) (pow (- (+ (/ 1 m) (/ 1 n))) 1/3)) into (pow (* (pow (+ (/ 1 m) (/ 1 n)) 2) (pow -1 2)) 1/3) * [misc]backup-simplify: Simplify (* (/ -1 K) (pow (* (pow (+ (/ 1 m) (/ 1 n)) 2) (pow -1 2)) 1/3)) into (* -1 (* (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3) (/ 1 K))) * [misc]backup-simplify: Simplify (* (* -1 (* (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3) (/ 1 K))) (pow (- (+ (/ 1 m) (/ 1 n))) 1/3)) into (* -1 (* (/ (+ (/ 1 m) (/ 1 n)) K) (pow -1 1/3))) * [misc]backup-simplify: Simplify (/ (* -1 (* (/ (+ (/ 1 m) (/ 1 n)) K) (pow -1 1/3))) 2) into (* -1/2 (* (/ (+ (/ 1 m) (/ 1 n)) K) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 m) (/ 1 n)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in n * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (exp (* 1/3 (- (log -1) (log n))))) into (pow (exp (* 1/3 (- (log -1) (log n)))) 2) * [misc]backup-simplify: Simplify (* (/ -1 K) (pow (exp (* 1/3 (- (log -1) (log n)))) 2)) into (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) K)) * [misc]backup-simplify: Simplify (* (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) K)) (exp (* 1/3 (- (log -1) (log n))))) into (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)) * [misc]backup-simplify: Simplify (/ (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)) 2) into (* -1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in m * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (exp (* 1/3 (- (log -1) (log m))))) into (pow (exp (* 1/3 (- (log -1) (log m)))) 2) * [misc]backup-simplify: Simplify (* (/ -1 K) (pow (exp (* 1/3 (- (log -1) (log m)))) 2)) into (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 2) K)) * [misc]backup-simplify: Simplify (* (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 2) K)) (exp (* 1/3 (- (log -1) (log m))))) into (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)) * [misc]backup-simplify: Simplify (/ (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)) 2) into (* -1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 m) (/ 1 n)))) into (log (- (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 m) (/ 1 n)))))) into (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 m) (/ 1 n)))) into (log (- (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 m) (/ 1 n)))))) into (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 m) (/ 1 n)))) into (log (- (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 m) (/ 1 n)))))) into (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) (pow (- (+ (/ 1 m) (/ 1 n))) 1/3)) into (pow (* (pow (+ (/ 1 m) (/ 1 n)) 2) (pow -1 2)) 1/3) * [misc]backup-simplify: Simplify (* -1 (pow (* (pow (+ (/ 1 m) (/ 1 n)) 2) (pow -1 2)) 1/3)) into (* -1 (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3)) * [misc]backup-simplify: Simplify (* (* -1 (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3)) (pow (- (+ (/ 1 m) (/ 1 n))) 1/3)) into (* -1 (* (+ (/ 1 m) (/ 1 n)) (pow -1 1/3))) * [misc]backup-simplify: Simplify (/ (* -1 (* (+ (/ 1 m) (/ 1 n)) (pow -1 1/3))) 2) into (* -1/2 (* (+ (/ 1 m) (/ 1 n)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (* (+ (/ 1 m) (/ 1 n)) (pow -1 1/3))) 0) into (- (+ (* 1/2 (* (/ 1 m) (pow -1 1/3))) (* 1/2 (* (/ 1 n) (pow -1 1/3))))) * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 m) (/ 1 n)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 m) (/ 1 n)))) into (log (- (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 m) (/ 1 n)))))) into (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 m) (/ 1 n)))) into (log (- (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 m) (/ 1 n)))))) into (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 m) (/ 1 n)))) into (log (- (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 m) (/ 1 n)))))) into (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) (pow (- (+ (/ 1 m) (/ 1 n))) 1/3)) into (pow (* (pow (+ (/ 1 m) (/ 1 n)) 2) (pow -1 2)) 1/3) * [misc]backup-simplify: Simplify (* -1 (pow (* (pow (+ (/ 1 m) (/ 1 n)) 2) (pow -1 2)) 1/3)) into (* -1 (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3)) * [misc]backup-simplify: Simplify (* (* -1 (pow (pow (+ (/ 1 m) (/ 1 n)) 2) 1/3)) (pow (- (+ (/ 1 m) (/ 1 n))) 1/3)) into (* -1 (* (+ (/ 1 m) (/ 1 n)) (pow -1 1/3))) * [misc]backup-simplify: Simplify (/ (* -1 (* (+ (/ 1 m) (/ 1 n)) (pow -1 1/3))) 2) into (* -1/2 (* (+ (/ 1 m) (/ 1 n)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (* (+ (/ 1 m) (/ 1 n)) (pow -1 1/3))) 0) into (- (+ (* 1/2 (* (/ 1 m) (pow -1 1/3))) (* 1/2 (* (/ 1 n) (pow -1 1/3))))) * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 m) (/ 1 n)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 m) (/ 1 n)))) 3) K)))) in m * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 m) (/ 1 n)))) 3) K))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cbrt (- (+ (/ 1 m) (/ 1 n)))) 3) K)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (cbrt (- (+ (/ 1 m) (/ 1 n)))) 3) K) in m * [misc]taylor: Taking taylor expansion of (pow (cbrt (- (+ (/ 1 m) (/ 1 n)))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (- (+ (/ 1 m) (/ 1 n))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (- (+ (/ 1 m) (/ 1 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 (cbrt (- (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 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) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log m))))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log -1) (log m)))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log m))) K) into (/ (exp (- (log -1) (log m))) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (- (log -1) (log m))) K)) into (* 1/2 (/ (exp (- (log -1) (log m))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (- (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 1) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (- (log -1) (log m))) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (log -1) (log m))) K) in n * [misc]taylor: Taking taylor expansion of (exp (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log m))) K) into (/ (exp (- (log -1) (log m))) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (- (log -1) (log m))) K)) into (* 1/2 (/ (exp (- (log -1) (log m))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (- (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 1) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) in M * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (- (log -1) (log m))) K)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (log -1) (log m))) K) in M * [misc]taylor: Taking taylor expansion of (exp (- (log -1) (log m))) in M * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log m))) K) into (/ (exp (- (log -1) (log m))) K) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n))) 1)) (pow (exp (* 1/3 (- (log -1) (log m)))) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (* 0 (* 1/3 (- (log -1) (log m))))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (log -1) (log m))) n) * [misc]backup-simplify: Simplify (- (/ (/ (exp (- (log -1) (log m))) n) K) (+ (* (/ (exp (- (log -1) (log m))) K) (/ 0 K)))) into (/ (exp (- (log -1) (log m))) (* K n)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (log -1) (log m))) (* K n))) (* 0 (/ (exp (- (log -1) (log m))) K))) into (* 1/2 (/ (exp (- (log -1) (log m))) (* K n))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (- (log -1) (log m))) (* K n)))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) (* K n)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (exp (- (log -1) (log m))) (* K n))))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) (* K n)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (- (* 1/2 (/ (exp (- (log -1) (log m))) (* K n)))) 1) 1))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) (* K n)))) * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (- (* 1/2 (/ (exp (- (log -1) (log m))) (* K n))))) (* 0 0)) into (- (* 1/2 (/ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) (* K n)))) * [misc]backup-simplify: Simplify (- (- (* 1/2 (/ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) (* K n))))) into (* 1/2 (/ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) (* K n))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) (* K n)))) into (* 1/2 (/ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) (* K n))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) (* K 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 -1) (log m))) K)))) (exp (- (log -1) (log m)))) (* K n)) in n * [misc]taylor: Taking taylor expansion of (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (- (log -1) (log m))) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (log -1) (log m))) K) in n * [misc]taylor: Taking taylor expansion of (exp (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log m))) K) into (/ (exp (- (log -1) (log m))) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (- (log -1) (log m))) K)) into (* 1/2 (/ (exp (- (log -1) (log m))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (- (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]taylor: Taking taylor expansion of (exp (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of (* K 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 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 -1) (log m))) K)))) 1) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) into (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (/ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) K) into (/ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) K) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (exp (- (log -1) (log m))) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (exp (- (log -1) (log m))) K))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 (exp (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (exp (- (log -1) (log m)))) K))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (exp (- (log -1) (log m))) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (exp (- (log -1) (log m))) K))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (/ 1 (/ 1 (- M))) (* 1/2 (/ (exp (- (log -1) (log (/ 1 (- m))))) (/ 1 (- K)))))) into (cos (- (* 1/2 (* (exp (- (log -1) (log (/ -1 m)))) K)) M)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ m n)) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (pow n 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log n))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (pow n 1/3) into (pow n 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log n))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow n -2/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log n)))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log n)) 0) into (- (* 5 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log n)))) into (* -5/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log n))) into (pow n -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow n -5/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow (* 1 m) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 m)) (pow n 1/3))) into (- (+ (* 1/3 (* m (pow (/ 1 (pow n 2)) 1/3))) (pow n 1/3)) (* 1/9 (* (pow m 2) (pow (/ 1 (pow n 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (pow m -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log m))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log m)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* -1/3 (log m)) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]backup-simplify: Simplify (pow m -1/3) into (pow m -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (pow (/ 1 m) 1/3) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 m) 1/3) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 m) 1/3) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]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 (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 m) 1/3) 1) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log m))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 m) 1/3) (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 m) 1/3) (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 m) 1/3) (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 m) 1/3) 1) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 m) 1/3) (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 m) 1/3) (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 m) 1/3) (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 m) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 m) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 m) 1/3) 1) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 m) -1/3) into (pow (/ 1 m) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- m)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 m))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ m n)) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (pow n 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log n))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (pow n 1/3) into (pow n 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log n))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow n -2/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log n)))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log n)) 0) into (- (* 5 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log n)))) into (* -5/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log n))) into (pow n -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow n -5/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow (* 1 m) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 m)) (pow n 1/3))) into (- (+ (* 1/3 (* m (pow (/ 1 (pow n 2)) 1/3))) (pow n 1/3)) (* 1/9 (* (pow m 2) (pow (/ 1 (pow n 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (pow m -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log m))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log m)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* -1/3 (log m)) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]backup-simplify: Simplify (pow m -1/3) into (pow m -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (pow (/ 1 m) 1/3) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 m) 1/3) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 m) 1/3) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]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 (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 m) 1/3) 1) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log m))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 m) 1/3) (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 m) 1/3) (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 m) 1/3) (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 m) 1/3) 1) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 m) 1/3) (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 m) 1/3) (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 m) 1/3) (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 m) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 m) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 m) 1/3) 1) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 m) -1/3) into (pow (/ 1 m) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- m)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 m))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ m n)) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (pow n 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log n))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (pow n 1/3) into (pow n 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log n))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow n -2/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log n)))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log n)) 0) into (- (* 5 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log n)))) into (* -5/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log n))) into (pow n -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow n -5/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow (* 1 m) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 m)) (pow n 1/3))) into (- (+ (* 1/3 (* m (pow (/ 1 (pow n 2)) 1/3))) (pow n 1/3)) (* 1/9 (* (pow m 2) (pow (/ 1 (pow n 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (pow m -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log m))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log m)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* -1/3 (log m)) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]backup-simplify: Simplify (pow m -1/3) into (pow m -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (pow (/ 1 m) 1/3) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 m) 1/3) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 m) 1/3) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]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 (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 m) 1/3) 1) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log m))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 m) 1/3) (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 m) 1/3) (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 m) 1/3) (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 m) 1/3) 1) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 m) 1/3) (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 m) 1/3) (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 m) 1/3) (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 m) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 m) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 m) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 m) 1/3) 1) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 m) -1/3) into (pow (/ 1 m) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- m)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 m))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 2 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 3 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (cos M)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (+ (* (cos M) (cos (/ (+ m n) (/ 2 K)))) (* (sin (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (sin M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 4 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ m n)) (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (* (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) (cbrt (cbrt (+ m n))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 16 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (* (cbrt (sqrt (+ n m))) (cbrt (sqrt (+ m n))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 17 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (* (cbrt 1) (cbrt (+ m n)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 18 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow m 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow m 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (/ (cbrt (+ (pow m 3) (pow n 3))) (cbrt (+ (* m m) (- (* n n) (* m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 19 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* m m) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* m m) (* n n))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (/ (cbrt (- (* m m) (* n n))) (cbrt (- m n)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 20 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ m n)) (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [misc]simplify: Simplified (2 1 1 1 1 1 2 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (* (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) (cbrt (cbrt (+ m n)))))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 29 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [misc]simplify: Simplified (2 1 1 1 1 1 2 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (* (cbrt (sqrt (+ n m))) (cbrt (sqrt (+ m n)))))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 30 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1 1 1 2 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (* (cbrt 1) (cbrt (+ m n))))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 31 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow m 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow m 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 1 1 1 2 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (/ (cbrt (+ (pow m 3) (pow n 3))) (cbrt (+ (* m m) (- (* n n) (* m n))))))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 32 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* m m) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* m m) (* n n))) * [misc]simplify: Simplified (2 1 1 1 1 1 2 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (/ (cbrt (- (* m m) (* n n))) (cbrt (- m n))))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 33 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ m n)) (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [misc]simplify: Simplified (2 1 1 1 1 1 2 1 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (* (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) (cbrt (cbrt (+ m n)))) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 42 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [misc]simplify: Simplified (2 1 1 1 1 1 2 1 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (* (cbrt (sqrt (+ n m))) (cbrt (sqrt (+ m n)))) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 43 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1 1 1 2 1 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (* (cbrt 1) (cbrt (+ m n))) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 44 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow m 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow m 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 1 1 1 2 1 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (/ (cbrt (+ (pow m 3) (pow n 3))) (cbrt (+ (* m m) (- (* n n) (* m n))))) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 45 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* m m) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* m m) (* n n))) * [misc]simplify: Simplified (2 1 1 1 1 1 2 1 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (/ (cbrt (- (* m m) (* n n))) (cbrt (- m n))) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 46 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 51 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/2 (* m K)) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cos (- (* (* K m) 1/2) M)) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* (cos (- (* (* K m) 1/2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 52 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/2 (* (exp (- (log -1) (log (/ -1 m)))) K)) M)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (cos (- (* (* K m) 1/2) M)) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* (cos (- (* (* K m) 1/2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 53 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* m (pow (/ 1 (pow n 2)) 1/3))) (pow n 1/3)) (* 1/9 (* (pow m 2) (pow (/ 1 (pow n 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (+ (* (* 1/3 m) (cbrt (/ (/ 1 n) n))) (- (cbrt n) (* (cbrt (/ 1 (pow n 5))) (* (* m 1/9) m)))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (+ (* (* 1/3 m) (cbrt (/ (/ 1 n) n))) (- (cbrt n) (* (cbrt (/ 1 (pow n 5))) (* (* m 1/9) m))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 54 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 m) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 m) -1/3) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (pow (/ 1 m) -1/3)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 55 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 m))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt m) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt m)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 56 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* m (pow (/ 1 (pow n 2)) 1/3))) (pow n 1/3)) (* 1/9 (* (pow m 2) (pow (/ 1 (pow n 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (+ (* (* 1/3 m) (cbrt (/ (/ 1 n) n))) (- (cbrt n) (* (cbrt (/ 1 (pow n 5))) (* (* m 1/9) m)))) * [misc]simplify: Simplified (2 1 1 1 1 1 2 2) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (+ (* (* 1/3 m) (cbrt (/ (/ 1 n) n))) (- (cbrt n) (* (cbrt (/ 1 (pow n 5))) (* (* m 1/9) m)))))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 57 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 m) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 m) -1/3) * [misc]simplify: Simplified (2 1 1 1 1 1 2 2) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (pow (/ 1 m) -1/3))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 58 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 m))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt m) * [misc]simplify: Simplified (2 1 1 1 1 1 2 2) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt m))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 59 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* m (pow (/ 1 (pow n 2)) 1/3))) (pow n 1/3)) (* 1/9 (* (pow m 2) (pow (/ 1 (pow n 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (+ (* (* 1/3 m) (cbrt (/ (/ 1 n) n))) (- (cbrt n) (* (cbrt (/ 1 (pow n 5))) (* (* m 1/9) m)))) * [misc]simplify: Simplified (2 1 1 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (+ (* (* 1/3 m) (cbrt (/ (/ 1 n) n))) (- (cbrt n) (* (cbrt (/ 1 (pow n 5))) (* (* m 1/9) m)))) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 60 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 m) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 m) -1/3) * [misc]simplify: Simplified (2 1 1 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (pow (/ 1 m) -1/3) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 61 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 m))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt m) * [misc]simplify: Simplified (2 1 1 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt m) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * [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 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 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 (- (* 1/2 (* m K)) M)) in (m K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* m K)) M)) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* m K)) M) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 (* 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]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (* 1/2 (* m K)) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* m K)) 0) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* m K)) M)) in K * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* m K)) M) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* m K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* m K) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* m K)) M)) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* m K)) M) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 (* 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]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* m K)) M)) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* m K)) M) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 (* 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]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) * [misc]backup-simplify: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin (- M))) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]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 (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M))) in (m K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 m) (/ 1 K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 K)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in 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) (/ 1 K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 m) (/ 1 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* (/ 1 m) 1) into (/ 1 m) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) * [misc]backup-simplify: Simplify (+ (/ 1/2 m) 0) into (* 1/2 (/ 1 m)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 m) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 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 (cos (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 m) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 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 (cos (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in K * [misc]taylor: Taking taylor expansion of (* m K) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (+ (* m 1) (* 0 0)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) * [misc]backup-simplify: Simplify (+ (/ 1/2 m) 0) into (* 1/2 (/ 1 m)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M)))) into (cos (- (* 1/2 (* m K)) M)) * [misc]approximate: Taking taylor expansion of (cos (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M)))) in (m K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) 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 (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M)))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* m K))))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (* (/ -1 m) -1) into (/ 1 m) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) * [misc]backup-simplify: Simplify (+ (/ 1/2 m) 0) into (* 1/2 (/ 1 m)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M)))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* m K))))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 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 (cos (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M)))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* m K))))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 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 (cos (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M)))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* m K))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* m K))))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* m K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in K * [misc]taylor: Taking taylor expansion of (* m K) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (+ (* m 1) (* 0 0)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 m)) into (* 1/2 (/ 1 m)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* m K))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* m K))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* m K))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* m K)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* m K))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* m K))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* m K))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* m K))))) * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (/ 1 (- M))) (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))))) into (cos (- (* 1/2 (* m K)) M)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (- l (fabs (- m n))) in (l m n) around 0 * [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 (- 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 (- 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 (- l (fabs (- m n))) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) * [misc]taylor: Taking taylor expansion of (- (fabs (- m n))) in m * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]taylor: Taking taylor expansion of (- (fabs (- 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]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 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) 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 (* 1 (* 1 l))) (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]approximate: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in (l m n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]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 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) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (- (fabs (- (/ 1 (/ 1 m)) (/ 1 (/ 1 n))))) (* 1 (* 1 (* 1 (/ 1 (/ 1 l)))))) into (- l (fabs (- m n))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in (l m n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in n * [misc]taylor: Taking taylor expansion of (- l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in m * [misc]taylor: Taking taylor expansion of (- l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in m * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- (/ 1 n) (/ 1 m))))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 n) (/ 1 m)))) 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]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 n) (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (- (fabs (- (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- m)))))) (* -1 (* 1 (* 1 (/ 1 (/ 1 (- l))))))) into (- l (fabs (- m n))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 m) (* 1/2 n))) into (log (+ (* 1/2 m) (* 1/2 n))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 m) (* 1/2 n)))) into (* 2 (log (+ (* 1/2 m) (* 1/2 n)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 m) (* 1/2 n))))) into (pow (+ (* 1/2 m) (* 1/2 n)) 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 (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (exp (* 2 (+ (log M) (log -1)))))) * [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 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 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 (- 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))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2)))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 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))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2)))) 1) 1)))) into (* (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) in n * [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 (/ 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 (* 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 (+ 0 1) 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 (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 4 (pow M 2)) 0) 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 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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 (* (- (* 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 (- 0) into 0 * [misc]backup-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))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2)))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 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))) (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2)))) 1) 1)))) into (* (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log -1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log -1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow M 2))) (/ 1 (pow n 2))) in n * [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 (/ 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 (* 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 (+ 0 1) 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 (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 4 (pow M 2)) 0) 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]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (* 1/2 (* m K)) M) in (m K M) around 0 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* m K)) M) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 (* 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]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 (* m K)) M) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* m K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* m K) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* m K)) M) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 (* 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]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* m K)) M) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 (* 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]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 K) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking 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 (* K m))) (* -1 (* M (* 1 1)))) into (- (* 1/2 (* K m)) M) * [misc]approximate: Taking taylor expansion of (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M)) in (m K M) around 0 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 m) (/ 1 K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 K)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in 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) (/ 1 K))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 m) (/ 1 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (/ 1 m) (/ 1 K))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 m) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]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) (/ 1 K))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 m) (/ 1 K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 m) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 1))) (* 1/2 (* 1 (* (/ 1 (/ 1 K)) (/ 1 (/ 1 m)))))) into (- (* 1/2 (* K m)) M) * [misc]approximate: Taking taylor expansion of (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M))) in (m K M) around 0 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) 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 (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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 (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) 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 (- (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- m)) (/ 1 (- K)))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- m)) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 0 (/ 1 M)) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) (* 1/2 (* 1 (* (/ 1 (/ 1 (- K))) (/ 1 (/ 1 (- m))))))) into (- (* 1/2 (* K m)) M) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/2 (* m K))) (cos (- M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (* 1/2 K) m))) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (- (* (cos M) (cos (* (* 1/2 K) m))) (* (sin (* 1/2 (* m K))) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 2 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/2 (* m K))) (cos (- M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (* 1/2 K) m))) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (- (* (cos M) (cos (* (* 1/2 K) m))) (* (sin (* 1/2 (* m K))) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 3 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/2 (* m K))) (cos M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (* K m) 1/2))) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (+ (* (cos M) (cos (* (* K m) 1/2))) (* (sin (* 1/2 (* m K))) (sin M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 4 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 58 ] 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))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (* 1/2 (* m K)) M)) (exp (- (- (exp (* 2 (log (- (/ (+ n m) 2) M))))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 23 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ m n) 2) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (* 1/2 (* m K)) M)) (exp (- (- (pow (- (/ (+ n m) 2) M) (* 1 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 25 / 58 ] 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)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (* 1/2 (* m K)) M)) (exp (- (- (* (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (pow (cbrt (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 26 / 58 ] 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) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (* 1/2 (* m K)) M)) (exp (- (- (* (- (/ (+ n m) 2) M) (pow (sqrt (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 27 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (* 1/2 (* m K)) M)) (exp (- (- (* 1 (pow (- (/ (+ m n) 2) M) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 28 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 48 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/2 (* m K)) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cos (- (* (* K m) 1/2) M)) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* (cos (- (* (* K m) 1/2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 49 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/2 (* m K)) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cos (- (* (* K m) 1/2) M)) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* (cos (- (* (* K m) 1/2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 50 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- l (fabs (- m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- l (fabs (- m n))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* (cos (- (* 1/2 (* m K)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 51 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- l (fabs (- m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- l (fabs (- m n))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* (cos (- (* 1/2 (* m K)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 52 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- l (fabs (- m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- l (fabs (- m n))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* (cos (- (* 1/2 (* m K)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 53 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (exp (* 2 (+ (log M) (log -1)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (+ (* M M) (* (+ (* 1/4 m) (* 1/2 n)) m)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* (cos (- (* 1/2 (* m K)) M)) (exp (- (- (+ (* M M) (* (+ (* 1/4 m) (* 1/2 n)) m))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 54 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (- (log 1/2) (log (/ 1 m))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (* (* 1/2 m) (* 1/2 m)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* (cos (- (* 1/2 (* m K)) M)) (exp (- (- (* (* 1/2 m) (* 1/2 m))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 55 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (- (log -1/2) (log (/ -1 m))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * [exit]simplify: Simplified to (* (* (/ -1/2 -1) m) (* (/ -1/2 -1) m)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* (cos (- (* 1/2 (* m K)) M)) (exp (- (- (* (* (/ -1/2 -1) m) (* (/ -1/2 -1) m))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 56 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (* K m)) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (- (* (* m K) 1/2) M) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (cos (- (* (* m K) 1/2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 57 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (* K m)) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (- (* (* m K) 1/2) M) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (cos (- (* (* m K) 1/2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 58 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (* K m)) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (- (* (* m K) 1/2) M) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (cos (- (* (* m K) 1/2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * [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 (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) +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 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [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 15 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: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 526 additional inputs, on iter 1 have 7474 / 8000 * * * * [misc]points: Computing exacts on every 32 of 526 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 16 of 526 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 8 of 526 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 4 of 526 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 2 of 526 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 526 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 33 additional inputs, on iter 2 have 7967 / 8000 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 33 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8003 points with exact outputs