* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: 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: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 1 have 238 / 256 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (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 1 1 1) * * * * [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 (- (/ (* 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 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)) 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 n in m * [misc]backup-simplify: Simplify n into n * [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 (* n n) into (pow n 2) * [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]taylor: Taking 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 (+ (* (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 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (* K (+ m n)) 2) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [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 (/ (* 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 (* 1/2 (+ 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 (+ 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 (* 1/2 n) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ m n)) (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 n)) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ m n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ m n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 n))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* n (* 1 K))) (* 1/2 (* 1 (* m K)))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 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 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 (* 1/2 (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 m) (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1/2 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 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 (- 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 (* 1/2 (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 m) (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 m) (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1/2 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* 1/2 (* m K)) (* 1/2 (* K 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 (- (/ (+ 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]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (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 (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (* (- M) (- M)) into (pow M 2) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor 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 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) * [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 (- (/ (+ (/ 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]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [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 M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) * [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 (- (/ (+ (/ 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]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [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 M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ 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]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* 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]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]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]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ 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]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n (* 1 K)))) (+ (* 1/2 (* 1 (* 1 (* m K)))) (* -1 (* M (* 1 (* 1 1)))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) * [misc]approximate: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 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]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 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]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]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K)))))) (* 1/2 (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) * [misc]approximate: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 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]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 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]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]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 0 (/ 1 M)) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 m) (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K))))))) (* 1/2 (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ m 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ m 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ 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 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (+ (pow m 3) (pow n 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (* (* K m) (* m m)) (* (* n K) (* n n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (+ (* (* K m) (* m m)) (* (* n K) (* n n))) (* 2 (+ (* m m) (- (* n n) (* m n))))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (- (* m m) (* n n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (* (- (* m m) (* n n)) K) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* (- (* m m) (* n n)) K) (* 2 (- m n))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 24 / 60 ] 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: [ 25 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 60 ] 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: [ 27 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 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: [ 28 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (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: [ 29 / 60 ] 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: [ 30 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 60 ] 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: [ 50 / 60 ] 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 (111 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: [ 51 / 60 ] 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 (111 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: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m K)) (* 1/2 (* K n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (* (+ m n) (* 1/2 K)) * [misc]simplify: Simplified (2 1 1 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m K)) (* 1/2 (* K n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (* (+ m n) (* 1/2 K)) * [misc]simplify: Simplified (2 1 1 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m K)) (* 1/2 (* K n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (* (+ m n) (* 1/2 K)) * [misc]simplify: Simplified (2 1 1 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: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (+ (* (* 1/4 m) m) (* (+ (* n 1/4) (* 1/2 m)) n)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (+ (* (* 1/4 m) m) (* (+ (* n 1/4) (* 1/2 m)) n))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (- (- M n) m) M) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (* (- (- M n) m) M)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (- (- M n) m) M) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (* (- (- M n) m) M)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (* (* 1/2 K) (+ m n)) M) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (cos (- (* (* 1/2 K) (+ m n)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (* (* 1/2 K) (+ m n)) M) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (cos (- (* (* 1/2 K) (+ m n)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (* (* 1/2 K) (+ m n)) M) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (cos (- (* (* 1/2 K) (+ m n)) 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 / 1 ] rewriting at (2 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] 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 (- (/ (+ 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]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (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 (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (* (- M) (- M)) into (pow M 2) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor 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 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) * [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 (- (/ (+ (/ 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]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [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 M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) * [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 (- (/ (+ (/ 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]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [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 M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 17 ] 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: [ 2 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 17 ] 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: [ 4 / 17 ] 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 (25 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: [ 5 / 17 ] 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: [ 6 / 17 ] 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: [ 7 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (+ (* (* 1/4 m) m) (* (+ (* n 1/4) (* 1/2 m)) n)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (+ (* (* 1/4 m) m) (* (+ (* n 1/4) (* 1/2 m)) n))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 16 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (- (- M n) m) M) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (* (- (- M n) m) M)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 17 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (- (- M n) m) M) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (* (- (- M n) m) 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) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ K (/ 2 (+ m n))) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ K (/ 2 (+ m n))) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ K (/ 2 (+ m n))) M) in M * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m 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 (+ 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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (/ K (/ 2 (+ m n))) 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 (/ 2 (+ m n))) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ K (/ 2 (+ m n))) M) in n * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 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 (/ 2 m) into (/ 2 m) * [misc]backup-simplify: Simplify (/ K (/ 2 m)) 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 (/ 2 (+ m n))) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ K (/ 2 (+ m n))) M) in m * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]backup-simplify: Simplify (/ K (/ 2 n)) 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 (/ 2 (+ m n))) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ K (/ 2 (+ m n))) M) in K * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m n)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (+ m n))) 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 (/ 2 (+ m n))) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ K (/ 2 (+ m n))) M) in K * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m n)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (+ m n))) 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 (+ m n)) (+ (* (/ 2 (+ m n)) (/ 0 (+ m n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 (+ m n))) (+ (* (* 1/2 (+ m n)) (/ 0 (/ 2 (+ m n)))))) 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 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)) 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 n in m * [misc]backup-simplify: Simplify n into n * [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 (* n n) into (pow n 2) * [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]taylor: Taking 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 (+ (* (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) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) 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) (/ 2 (+ (/ 1 m) (/ 1 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 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 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 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 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 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 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 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (+ (/ 1 m) (/ 1 n)))) 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) (/ 2 (+ (/ 1 m) (/ 1 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 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (+ (/ 1 m) (/ 1 n)))) 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) (/ 2 (+ (/ 1 m) (/ 1 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 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)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (/ -1 K) (/ -2 (+ (/ 1 m) (/ 1 n)))) 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)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 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)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 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 (- 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (/ -1 K) -2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 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)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (/ -1 K) -2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 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)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ -1 (/ -2 (+ (/ 1 m) (/ 1 n)))) 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)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 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)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ -1 (/ -2 (+ (/ 1 m) (/ 1 n)))) 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)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 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 1 1 1) * [misc]approximate: Taking taylor expansion of (/ K (/ 2 (+ m n))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 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 (/ 2 m) into (/ 2 m) * [misc]backup-simplify: Simplify (/ K (/ 2 m)) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]backup-simplify: Simplify (/ K (/ 2 n)) into (* 1/2 (* K n)) * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m n)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (+ m n))) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m n)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (+ m n))) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (+ 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 (+ 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 (* 1/2 n) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ m n)) (+ (* (/ 2 (+ m n)) (/ 0 (+ m n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 (+ m n))) (+ (* (* 1/2 (+ m n)) (/ 0 (/ 2 (+ 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]backup-simplify: Simplify (+ (* 1/2 1) (* 0 n)) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ m n)) (+ (* (/ 2 (+ m n)) (/ 0 (+ m n))) (* 0 (/ 0 (+ m n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 (+ m n))) (+ (* (* 1/2 (+ m n)) (/ 0 (/ 2 (+ m n)))) (* 0 (/ 0 (/ 2 (+ 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 n))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* n (* 1 K))) (* 1/2 (* 1 (* m K)))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 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 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (+ (/ 1 m) (/ 1 n)))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (+ (/ 1 m) (/ 1 n)))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 m) (/ 1 n))) (+ (* (/ 2 (+ (/ 1 m) (/ 1 n))) (/ 0 (+ (/ 1 m) (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n)))) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 (/ 2 (+ (/ 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]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 m) (/ 1 n))) (+ (* (/ 2 (+ (/ 1 m) (/ 1 n))) (/ 0 (+ (/ 1 m) (/ 1 n)))) (* 0 (/ 0 (+ (/ 1 m) (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n)))) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (/ 2 (+ (/ 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (/ 0 (+ (/ 1 m) (/ 1 n))) (+ (* (/ 2 (+ (/ 1 m) (/ 1 n))) (/ 0 (+ (/ 1 m) (/ 1 n)))) (* 0 (/ 0 (+ (/ 1 m) (/ 1 n)))) (* 0 (/ 0 (+ (/ 1 m) (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n)))) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (/ 2 (+ (/ 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1/2 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 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 (- 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (/ -1 K) -2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (/ -1 K) -2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ -1 (/ -2 (+ (/ 1 m) (/ 1 n)))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ -1 (/ -2 (+ (/ 1 m) (/ 1 n)))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (/ 1 m) (/ 1 n)))) (+ (* (/ -2 (+ (/ 1 m) (/ 1 n))) (/ 0 (- (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n)))) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 (/ -2 (+ (/ 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]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (/ 1 m) (/ 1 n)))) (+ (* (/ -2 (+ (/ 1 m) (/ 1 n))) (/ 0 (- (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (- (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n)))) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (/ -2 (+ (/ 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (/ 1 m) (/ 1 n)))) (+ (* (/ -2 (+ (/ 1 m) (/ 1 n))) (/ 0 (- (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (- (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (- (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n)))) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (/ -2 (+ (/ 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1/2 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (/ 2 (+ m n)) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 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 (/ 2 m) into (/ 2 m) * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]taylor: Taking taylor expansion of (/ 2 n) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 2 n) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 2 n) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) 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 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 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 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 (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [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]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 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 (- 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 (/ 2 -1) into -2 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -2 (/ (- (/ 1 n)) -1)))) into (* 2 (/ 1 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 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 (- 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 -1) (+ (* -2 (/ 0 -1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) -1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ K (/ 2 (+ m n))) M) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ K (/ 2 (+ m n))) M) in M * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m 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 (+ 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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (/ K (/ 2 (+ m n))) 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]taylor: Taking taylor expansion of (- (/ K (/ 2 (+ m n))) M) in n * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 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 (/ 2 m) into (/ 2 m) * [misc]backup-simplify: Simplify (/ K (/ 2 m)) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ K (/ 2 (+ m n))) M) in m * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]backup-simplify: Simplify (/ K (/ 2 n)) into (* 1/2 (* K n)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ K (/ 2 (+ m n))) M) in K * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m n)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (+ m n))) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ K (/ 2 (+ m n))) M) in K * [misc]taylor: Taking taylor expansion of (/ K (/ 2 (+ 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 (/ 2 (+ m n)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (+ m n))) 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]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ m n)) (+ (* (/ 2 (+ m n)) (/ 0 (+ m n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 (+ m n))) (+ (* (* 1/2 (+ m n)) (/ 0 (/ 2 (+ m n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n (* 1 K)))) (+ (* 1/2 (* 1 (* 1 (* m K)))) (* -1 (* M (* 1 (* 1 1)))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) 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]taylor: Taking taylor expansion of (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 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 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (+ (/ 1 m) (/ 1 n)))) 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]taylor: Taking taylor expansion of (- (/ (/ 1 K) (/ 2 (+ (/ 1 m) (/ 1 n)))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (+ (/ 1 m) (/ 1 n)))) 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]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 m) (/ 1 n))) (+ (* (/ 2 (+ (/ 1 m) (/ 1 n))) (/ 0 (+ (/ 1 m) (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n)))) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 m) (/ 1 n))) (+ (* (/ 2 (+ (/ 1 m) (/ 1 n))) (/ 0 (+ (/ 1 m) (/ 1 n)))) (* 0 (/ 0 (+ (/ 1 m) (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n)))) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (/ 0 (+ (/ 1 m) (/ 1 n))) (+ (* (/ 2 (+ (/ 1 m) (/ 1 n))) (/ 0 (+ (/ 1 m) (/ 1 n)))) (* 0 (/ 0 (+ (/ 1 m) (/ 1 n)))) (* 0 (/ 0 (+ (/ 1 m) (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n)))) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (/ 2 (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K)))))) (* 1/2 (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (/ -1 K) (/ -2 (+ (/ 1 m) (/ 1 n)))) 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]taylor: Taking taylor expansion of (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 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 (- 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (/ -1 K) -2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (/ -1 K) -2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ -1 (/ -2 (+ (/ 1 m) (/ 1 n)))) 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]taylor: Taking taylor expansion of (- (/ (/ 1 (- K)) (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ -1 (/ -2 (+ (/ 1 m) (/ 1 n)))) 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]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (/ 1 m) (/ 1 n)))) (+ (* (/ -2 (+ (/ 1 m) (/ 1 n))) (/ 0 (- (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n)))) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 0 (/ 1 M)) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- (+ (/ 1 m) (/ 1 n)))) (+ (* (/ -2 (+ (/ 1 m) (/ 1 n))) (/ 0 (- (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (- (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n)))) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (/ 1 m) (/ 1 n)))) (+ (* (/ -2 (+ (/ 1 m) (/ 1 n))) (/ 0 (- (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (- (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (- (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n)))) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n))))) (* 0 (/ 0 (/ -2 (+ (/ 1 m) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K))))))) (* 1/2 (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K (/ 2 (+ m n)))) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (cos (* (+ n m) (/ K 2))) (cos M)) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (- (* (cos (* (+ n m) (/ K 2))) (cos M)) (* (sin (/ K (/ 2 (+ m n)))) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 2 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K (/ 2 (+ m n)))) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (cos (* (+ n m) (/ K 2))) (cos M)) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (- (* (cos (* (+ n m) (/ K 2))) (cos M)) (* (sin (/ K (/ 2 (+ m n)))) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 3 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K (/ 2 (+ m n)))) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ n m)))) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (+ (* (cos M) (cos (* (/ K 2) (+ n m)))) (* (sin (/ K (/ 2 (+ m n)))) (sin M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 4 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ m n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 22 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 2 (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ m n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (/ K (sqrt (/ 2 (+ m n)))) (sqrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 23 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ m n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 2 (+ m n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (/ K 1) (/ 2 (+ m n))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 24 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ m n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ m n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (/ K 2) (/ 1 (+ m n))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 25 / 65 ] 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 2) to (λ (K m n M l) (* (cos (- (/ (/ K (/ 2 (+ (pow m 3) (pow n 3)))) (- (* n n) (* (- n m) m))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 26 / 65 ] 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 2) to (λ (K m n M l) (* (cos (- (/ (/ K (/ 2 (- (* m m) (* n n)))) (- m n)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 27 / 65 ] 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 2) to (λ (K m n M l) (* (cos (- (* (/ K 2) (+ n m)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 28 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 65 ] 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 2 2) to (λ (K m n M l) (* (cos (- (/ K (/ (/ 2 (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ n m)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 39 / 65 ] 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 2 2) to (λ (K m n M l) (* (cos (- (/ K (/ (/ 2 (sqrt (+ m n))) (sqrt (+ n m)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 40 / 65 ] 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 2 2) to (λ (K m n M l) (* (cos (- (/ K (/ (/ 2 1) (+ n m))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 41 / 65 ] 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 2 2) to (λ (K m n M l) (* (cos (- (/ K (* (/ 2 (+ (pow m 3) (pow n 3))) (- (* n n) (* (- n m) m)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 42 / 65 ] 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 2 2) to (λ (K m n M l) (* (cos (- (/ K (* (/ 2 (- (* m m) (* n n))) (- m n))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 43 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 65 ] 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: [ 55 / 65 ] 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 (111 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: [ 56 / 65 ] 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 (111 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: [ 57 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m K)) (* 1/2 (* K n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (* (+ m n) (* 1/2 K)) * [misc]simplify: Simplified (2 1 1 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: [ 58 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m K)) (* 1/2 (* K n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (* (+ m n) (* 1/2 K)) * [misc]simplify: Simplified (2 1 1 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: [ 59 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m K)) (* 1/2 (* K n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (* (+ m n) (* 1/2 K)) * [misc]simplify: Simplified (2 1 1 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: [ 60 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ K 0) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 61 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ K 0) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 62 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ K 0) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 63 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (* (* 1/2 K) (+ m n)) M) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (cos (- (* (* 1/2 K) (+ m n)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 64 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (* (* 1/2 K) (+ m n)) M) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (cos (- (* (* 1/2 K) (+ m n)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 65 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (* (* 1/2 K) (+ m n)) M) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (cos (- (* (* 1/2 K) (+ m n)) 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 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 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 (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M) in M * [misc]taylor: Taking taylor expansion of (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) in M * [misc]taylor: Taking taylor expansion of (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ 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 (/ 2 (+ m n))) (cbrt (/ 2 (+ m n)))) in M * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in M * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in M * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (log (/ 2 (+ m n))) into (log (/ 2 (+ m n))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ m n)))) into (* 1/3 (log (/ 2 (+ m n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ m n))))) into (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in M * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in M * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (log (/ 2 (+ m n))) into (log (/ 2 (+ m n))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ m n)))) into (* 1/3 (log (/ 2 (+ m n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ m n))))) into (pow (/ 2 (+ m n)) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ 2 (+ m n)) 1/3) (pow (/ 2 (+ m n)) 1/3)) into (pow (/ (pow 2 2) (pow (+ m n) 2)) 1/3) * [misc]backup-simplify: Simplify (/ K (pow (/ (pow 2 2) (pow (+ m n) 2)) 1/3)) into (* K (pow (/ (pow (+ m n) 2) 4) 1/3)) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in M * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in M * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (log (/ 2 (+ m n))) into (log (/ 2 (+ m n))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ m n)))) into (* 1/3 (log (/ 2 (+ m n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ m n))))) into (pow (/ 2 (+ m n)) 1/3) * [misc]backup-simplify: Simplify (/ (* K (pow (/ (pow (+ m n) 2) 4) 1/3)) (pow (/ 2 (+ m n)) 1/3)) into (* (* K (+ m n)) (pow (/ 1/4 2) 1/3)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* K (+ m n)) (pow (/ 1/4 2) 1/3)) 0) into (+ (* (* K n) (pow 1/8 1/3)) (* (* K m) (pow 1/8 1/3))) * [misc]backup-simplify: Simplify (cos (+ (* (* K n) (pow 1/8 1/3)) (* (* K m) (pow 1/8 1/3)))) into (cos (+ (* (* K n) (pow 1/8 1/3)) (* (* K m) (pow 1/8 1/3)))) * [misc]backup-simplify: Simplify (sin (+ (* (* K n) (pow 1/8 1/3)) (* (* K m) (pow 1/8 1/3)))) into (sin (+ (* (* K n) (pow 1/8 1/3)) (* (* K m) (pow 1/8 1/3)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M) in n * [misc]taylor: Taking taylor expansion of (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ 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 (/ 2 (+ m n))) (cbrt (/ 2 (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 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 (/ 2 m) into (/ 2 m) * [misc]backup-simplify: Simplify (log (/ 2 m)) into (log (/ 2 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 m))) into (* 1/3 (log (/ 2 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 m)))) into (pow (/ 2 m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 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 (/ 2 m) into (/ 2 m) * [misc]backup-simplify: Simplify (log (/ 2 m)) into (log (/ 2 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 m))) into (* 1/3 (log (/ 2 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 m)))) into (pow (/ 2 m) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ 2 m) 1/3) (pow (/ 2 m) 1/3)) into (pow (/ (pow 2 2) (pow m 2)) 1/3) * [misc]backup-simplify: Simplify (/ K (pow (/ (pow 2 2) (pow m 2)) 1/3)) into (* K (pow (/ (pow m 2) 4) 1/3)) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 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 (/ 2 m) into (/ 2 m) * [misc]backup-simplify: Simplify (log (/ 2 m)) into (log (/ 2 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 m))) into (* 1/3 (log (/ 2 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 m)))) into (pow (/ 2 m) 1/3) * [misc]backup-simplify: Simplify (/ (* K (pow (/ (pow m 2) 4) 1/3)) (pow (/ 2 m) 1/3)) into (* (* K m) (pow (/ 1/4 2) 1/3)) * [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 (+ (* (* K m) (pow (/ 1/4 2) 1/3)) (- M)) into (- (* (* K m) (pow 1/8 1/3)) M) * [misc]backup-simplify: Simplify (cos (- (* (* K m) (pow 1/8 1/3)) M)) into (cos (- (* (* K m) (pow 1/8 1/3)) M)) * [misc]backup-simplify: Simplify (sin (- (* (* K m) (pow 1/8 1/3)) M)) into (sin (- (* (* K m) (pow 1/8 1/3)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M) in m * [misc]taylor: Taking taylor expansion of (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ 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 (/ 2 (+ m n))) (cbrt (/ 2 (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 n))) into (* 1/3 (log (/ 2 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 n)))) into (pow (/ 2 n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 n))) into (* 1/3 (log (/ 2 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 n)))) into (pow (/ 2 n) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ 2 n) 1/3) (pow (/ 2 n) 1/3)) into (pow (/ (pow 2 2) (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (/ K (pow (/ (pow 2 2) (pow n 2)) 1/3)) into (* K (pow (/ (pow n 2) 4) 1/3)) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 n))) into (* 1/3 (log (/ 2 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 n)))) into (pow (/ 2 n) 1/3) * [misc]backup-simplify: Simplify (/ (* K (pow (/ (pow n 2) 4) 1/3)) (pow (/ 2 n) 1/3)) into (* (* K n) (pow (/ 1/4 2) 1/3)) * [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 (+ (* (* K n) (pow (/ 1/4 2) 1/3)) (- M)) into (- (* (* K n) (pow 1/8 1/3)) M) * [misc]backup-simplify: Simplify (cos (- (* (* K n) (pow 1/8 1/3)) M)) into (cos (- (* (* K n) (pow 1/8 1/3)) M)) * [misc]backup-simplify: Simplify (sin (- (* (* K n) (pow 1/8 1/3)) M)) into (sin (- (* (* K n) (pow 1/8 1/3)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M) in K * [misc]taylor: Taking taylor expansion of (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ 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 (/ 2 (+ m n))) (cbrt (/ 2 (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (log (/ 2 (+ m n))) into (log (/ 2 (+ m n))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ m n)))) into (* 1/3 (log (/ 2 (+ m n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ m n))))) into (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (log (/ 2 (+ m n))) into (log (/ 2 (+ m n))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ m n)))) into (* 1/3 (log (/ 2 (+ m n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ m n))))) into (pow (/ 2 (+ m n)) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ 2 (+ m n)) 1/3) (pow (/ 2 (+ m n)) 1/3)) into (pow (/ (pow 2 2) (pow (+ m n) 2)) 1/3) * [misc]backup-simplify: Simplify (/ 1 (pow (/ (pow 2 2) (pow (+ m n) 2)) 1/3)) into (pow (/ (pow (+ m n) 2) 4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (log (/ 2 (+ m n))) into (log (/ 2 (+ m n))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ m n)))) into (* 1/3 (log (/ 2 (+ m n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ m n))))) into (pow (/ 2 (+ m n)) 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ (pow (+ m n) 2) 4) 1/3) (pow (/ 2 (+ m n)) 1/3)) into (* (pow (/ 1/4 2) 1/3) (+ 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 (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M) in K * [misc]taylor: Taking taylor expansion of (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ 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 (/ 2 (+ m n))) (cbrt (/ 2 (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (log (/ 2 (+ m n))) into (log (/ 2 (+ m n))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ m n)))) into (* 1/3 (log (/ 2 (+ m n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ m n))))) into (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (log (/ 2 (+ m n))) into (log (/ 2 (+ m n))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ m n)))) into (* 1/3 (log (/ 2 (+ m n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ m n))))) into (pow (/ 2 (+ m n)) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ 2 (+ m n)) 1/3) (pow (/ 2 (+ m n)) 1/3)) into (pow (/ (pow 2 2) (pow (+ m n) 2)) 1/3) * [misc]backup-simplify: Simplify (/ 1 (pow (/ (pow 2 2) (pow (+ m n) 2)) 1/3)) into (pow (/ (pow (+ m n) 2) 4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ m n)) into (/ 2 (+ m n)) * [misc]backup-simplify: Simplify (log (/ 2 (+ m n))) into (log (/ 2 (+ m n))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ m n)))) into (* 1/3 (log (/ 2 (+ m n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ m n))))) into (pow (/ 2 (+ m n)) 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ (pow (+ m n) 2) 4) 1/3) (pow (/ 2 (+ m n)) 1/3)) into (* (pow (/ 1/4 2) 1/3) (+ 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 (+ (* (pow (/ 1/4 2) 1/3) (+ m n)) 0) into (+ (* m (pow 1/8 1/3)) (* n (pow 1/8 1/3))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* m (pow 1/8 1/3)) (* n (pow 1/8 1/3))) 1) 1))) into (+ (* m (pow 1/8 1/3)) (* n (pow 1/8 1/3))) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* m (pow 1/8 1/3)) (* n (pow 1/8 1/3)))) (* 0 0)) into (+ (* (* m (sin (- M))) (pow 1/8 1/3)) (* (* (sin (- M)) n) (pow 1/8 1/3))) * [misc]backup-simplify: Simplify (- (+ (* (* m (sin (- M))) (pow 1/8 1/3)) (* (* (sin (- M)) n) (pow 1/8 1/3)))) into (- (+ (* (* m (sin (- M))) (pow 1/8 1/3)) (* (* (sin (- M)) n) (pow 1/8 1/3)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* (* m (sin (- M))) (pow 1/8 1/3)) (* (* (sin (- M)) n) (pow 1/8 1/3))))) into (- (+ (* (* m (sin (- M))) (pow 1/8 1/3)) (* (* (sin (- M)) n) (pow 1/8 1/3)))) * [misc]taylor: Taking taylor expansion of (- (+ (* (* m (sin (- M))) (pow 1/8 1/3)) (* (* (sin (- M)) n) (pow 1/8 1/3)))) in m * [misc]taylor: Taking taylor expansion of (+ (* (* m (sin (- M))) (pow 1/8 1/3)) (* (* (sin (- M)) n) (pow 1/8 1/3))) in m * [misc]taylor: Taking taylor expansion of (* (* m (sin (- M))) (pow 1/8 1/3)) in m * [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]taylor: Taking taylor expansion of (pow 1/8 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log 1/8))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log 1/8)) 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 1/8) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (* 1/3 (log 1/8)) into (* 1/3 (log 1/8)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/8))) into (pow 1/8 1/3) * [misc]taylor: Taking taylor expansion of (* (* (sin (- M)) n) (pow 1/8 1/3)) in m * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (pow 1/8 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log 1/8))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log 1/8)) 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 1/8) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (* 1/3 (log 1/8)) into (* 1/3 (log 1/8)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/8))) into (pow 1/8 1/3) * [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 (* 0 (pow 1/8 1/3)) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* (* (sin (- M)) n) (pow 1/8 1/3)) into (* (* (sin (- M)) n) (pow 1/8 1/3)) * [misc]backup-simplify: Simplify (+ 0 (* (* (sin (- M)) n) (pow 1/8 1/3))) into (* (* (sin (- M)) n) (pow 1/8 1/3)) * [misc]backup-simplify: Simplify (- (* (* (sin (- M)) n) (pow 1/8 1/3))) into (- (* (* (sin (- M)) n) (pow 1/8 1/3))) * [misc]taylor: Taking taylor expansion of (- (* (* (sin (- M)) n) (pow 1/8 1/3))) in n * [misc]taylor: Taking taylor expansion of (* (* (sin (- M)) n) (pow 1/8 1/3)) in n * [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]taylor: Taking taylor expansion of (pow 1/8 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log 1/8))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log 1/8)) 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 1/8) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (* 1/3 (log 1/8)) into (* 1/3 (log 1/8)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/8))) into (pow 1/8 1/3) * [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 (* 0 (pow 1/8 1/3)) 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 (+ (* m (pow 1/8 1/3)) (* n (pow 1/8 1/3))) 2) 2)) 0) into (- (+ (* 1/2 (* (pow n 2) (pow 1/64 1/3))) (+ (* 1/2 (* (pow m 2) (pow 1/64 1/3))) (* (* m n) (pow 1/64 1/3))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/2 (* (pow n 2) (pow 1/64 1/3))) (+ (* 1/2 (* (pow m 2) (pow 1/64 1/3))) (* (* m n) (pow 1/64 1/3)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* (* m (* (cos (- M)) n)) (pow 1/64 1/3)) (+ (* 1/2 (* (* (pow m 2) (cos (- M))) (pow 1/64 1/3))) (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ m n)) (+ (* (/ 2 (+ m n)) (/ 0 (+ m n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 (+ m n)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 2 (+ m n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ m n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ m n)) (+ (* (/ 2 (+ m n)) (/ 0 (+ m n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 (+ m n)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 2 (+ m n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ m n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 2 (+ m n)) 1/3) 0) (* 0 (pow (/ 2 (+ m n)) 1/3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (/ (pow 2 2) (pow (+ m n) 2)) 1/3)) (+ (* (pow (/ (pow (+ m n) 2) 4) 1/3) (/ 0 (pow (/ (pow 2 2) (pow (+ m n) 2)) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ m n)) (+ (* (/ 2 (+ m n)) (/ 0 (+ m n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 (+ m n)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 2 (+ m n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ m n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (/ 2 (+ m n)) 1/3)) (+ (* (* (pow (/ 1/4 2) 1/3) (+ m n)) (/ 0 (pow (/ 2 (+ m n)) 1/3))))) 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 (+ (* m (pow 1/8 1/3)) (* n (pow 1/8 1/3)))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* (* m (* (cos (- M)) n)) (pow 1/64 1/3)) (+ (* 1/2 (* (* (pow m 2) (cos (- M))) (pow 1/64 1/3))) (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)))))) 0) into (- (+ (* (* m (* (cos (- M)) n)) (pow 1/64 1/3)) (+ (* 1/2 (* (* (pow m 2) (cos (- M))) (pow 1/64 1/3))) (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* (* m (* (cos (- M)) n)) (pow 1/64 1/3)) (+ (* 1/2 (* (* (pow m 2) (cos (- M))) (pow 1/64 1/3))) (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* (* m (* (cos (- M)) n)) (pow 1/64 1/3)) (+ (* 1/2 (* (* (pow m 2) (cos (- M))) (pow 1/64 1/3))) (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3))))) in m * [misc]taylor: Taking taylor expansion of (* (* m (* (cos (- M)) n)) (pow 1/64 1/3)) in m * [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]taylor: Taking taylor expansion of (pow 1/64 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log 1/64))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log 1/64)) 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 1/64) in m * [misc]taylor: Taking taylor expansion of 1/64 in m * [misc]backup-simplify: Simplify 1/64 into 1/64 * [misc]backup-simplify: Simplify (log 1/64) into (log 1/64) * [misc]backup-simplify: Simplify (* 1/3 (log 1/64)) into (* 1/3 (log 1/64)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/64))) into (pow 1/64 1/3) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (pow m 2) (cos (- M))) (pow 1/64 1/3))) (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (pow m 2) (cos (- M))) (pow 1/64 1/3))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow m 2) (cos (- M))) (pow 1/64 1/3)) in m * [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 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)) 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 1/64 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log 1/64))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log 1/64)) 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 1/64) in m * [misc]taylor: Taking taylor expansion of 1/64 in m * [misc]backup-simplify: Simplify 1/64 into 1/64 * [misc]backup-simplify: Simplify (log 1/64) into (log 1/64) * [misc]backup-simplify: Simplify (* 1/3 (log 1/64)) into (* 1/3 (log 1/64)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/64))) into (pow 1/64 1/3) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)) in m * [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 n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (pow 1/64 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log 1/64))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log 1/64)) 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 1/64) in m * [misc]taylor: Taking taylor expansion of 1/64 in m * [misc]backup-simplify: Simplify 1/64 into 1/64 * [misc]backup-simplify: Simplify (log 1/64) into (log 1/64) * [misc]backup-simplify: Simplify (* 1/3 (log 1/64)) into (* 1/3 (log 1/64)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/64))) into (pow 1/64 1/3) * [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 (* 0 (pow 1/64 1/3)) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)) into (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)) * [misc]backup-simplify: Simplify (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3))) into (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)))) into (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)))) into (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)))) into (- (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (cos (- M)) (pow n 2)) (pow 1/64 1/3)) in n * [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]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 (pow 1/64 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log 1/64))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log 1/64)) 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 1/64) in n * [misc]taylor: Taking taylor expansion of 1/64 in n * [misc]backup-simplify: Simplify 1/64 into 1/64 * [misc]backup-simplify: Simplify (log 1/64) into (log 1/64) * [misc]backup-simplify: Simplify (* 1/3 (log 1/64)) into (* 1/3 (log 1/64)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/64))) into (pow 1/64 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/8 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 1/8))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/8))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 0 0) (* (sin (- M)) (pow 1/8 1/3))) into (* (sin (- M)) (pow 1/8 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/8 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 1/8))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/8))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (- M)) n) 0) (* 0 (pow 1/8 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (pow 1/8 1/3)) 0) into (* (sin (- M)) (pow 1/8 1/3)) * [misc]backup-simplify: Simplify (- (* (sin (- M)) (pow 1/8 1/3))) into (- (* (sin (- M)) (pow 1/8 1/3))) * [misc]taylor: Taking taylor expansion of (- (* (sin (- M)) (pow 1/8 1/3))) in n * [misc]taylor: Taking taylor expansion of (* (sin (- M)) (pow 1/8 1/3)) 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 (pow 1/8 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log 1/8))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log 1/8)) 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 1/8) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (* 1/3 (log 1/8)) into (* 1/3 (log 1/8)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/8))) into (pow 1/8 1/3) * [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)) (pow 1/8 1/3)) into (* (sin (- M)) (pow 1/8 1/3)) * [misc]backup-simplify: Simplify (- (* (sin (- M)) (pow 1/8 1/3))) into (- (* (sin (- M)) (pow 1/8 1/3))) * [misc]taylor: Taking taylor expansion of (- (* (sin (- M)) (pow 1/8 1/3))) in M * [misc]taylor: Taking taylor expansion of (* (sin (- M)) (pow 1/8 1/3)) in M * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]taylor: Taking taylor expansion of (pow 1/8 1/3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log 1/8))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log 1/8)) 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 1/8) in M * [misc]taylor: Taking taylor expansion of 1/8 in M * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (* 1/3 (log 1/8)) into (* 1/3 (log 1/8)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/8))) into (pow 1/8 1/3) * [misc]backup-simplify: Simplify (* 0 (pow 1/8 1/3)) 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (/ 1 m) (/ 1 n)))) into (log (/ 2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (/ 1 m) (/ 1 n)))) into (log (/ 2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3)) into (pow (/ (pow 2 2) (pow (+ (/ 1 m) (/ 1 n)) 2)) 1/3) * [misc]backup-simplify: Simplify (/ (/ 1 K) (pow (/ (pow 2 2) (pow (+ (/ 1 m) (/ 1 n)) 2)) 1/3)) into (* (pow (/ (pow (+ (/ 1 m) (/ 1 n)) 2) 4) 1/3) (/ 1 K)) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (/ 1 m) (/ 1 n)))) into (log (/ 2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]backup-simplify: Simplify (/ (* (pow (/ (pow (+ (/ 1 m) (/ 1 n)) 2) 4) 1/3) (/ 1 K)) (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3)) into (* (/ (+ (/ 1 m) (/ 1 n)) K) (pow (/ 1/4 2) 1/3)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M))) into (cos (- (/ 1 (* K (pow (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) 3))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 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 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log n))) into (* 1/3 (+ (log 2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log n)))) into (exp (* 1/3 (+ (log 2) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 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 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log n))) into (* 1/3 (+ (log 2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log n)))) into (exp (* 1/3 (+ (log 2) (log n)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log n)))) (exp (* 1/3 (+ (log 2) (log n))))) into (pow (exp (* 1/3 (+ (log 2) (log n)))) 2) * [misc]backup-simplify: Simplify (/ (/ 1 K) (pow (exp (* 1/3 (+ (log 2) (log n)))) 2)) into (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log n)))) 2))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 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 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log n))) into (* 1/3 (+ (log 2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log n)))) into (exp (* 1/3 (+ (log 2) (log n)))) * [misc]backup-simplify: Simplify (/ (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log n)))) 2))) (exp (* 1/3 (+ (log 2) (log n))))) into (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log n)))) 3))) * [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 (* K (pow (exp (* 1/3 (+ (log 2) (log n)))) 3))) (- (/ 1 M))) into (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log n)))) 3))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log n)))) 3))) (/ 1 M))) into (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log n)))) 3))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log n)))) 3))) (/ 1 M))) into (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log n)))) 3))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (exp (* 1/3 (+ (log 2) (log m))))) into (pow (exp (* 1/3 (+ (log 2) (log m)))) 2) * [misc]backup-simplify: Simplify (/ (/ 1 K) (pow (exp (* 1/3 (+ (log 2) (log m)))) 2)) into (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 2))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (/ (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 2))) (exp (* 1/3 (+ (log 2) (log m))))) into (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) * [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 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (- (/ 1 M))) into (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) into (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) into (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (/ 1 m) (/ 1 n)))) into (log (/ 2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (/ 1 m) (/ 1 n)))) into (log (/ 2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3)) into (pow (/ (pow 2 2) (pow (+ (/ 1 m) (/ 1 n)) 2)) 1/3) * [misc]backup-simplify: Simplify (/ 1 (pow (/ (pow 2 2) (pow (+ (/ 1 m) (/ 1 n)) 2)) 1/3)) into (pow (/ (pow (+ (/ 1 m) (/ 1 n)) 2) 4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (/ 1 m) (/ 1 n)))) into (log (/ 2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ (pow (+ (/ 1 m) (/ 1 n)) 2) 4) 1/3) (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3)) into (* (+ (/ 1 m) (/ 1 n)) (pow (/ 1/4 2) 1/3)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 m) (/ 1 n)) (pow (/ 1/4 2) 1/3)) 0) into (+ (* (/ 1 m) (pow 1/8 1/3)) (* (/ 1 n) (pow 1/8 1/3))) * [misc]backup-simplify: Simplify (cos (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M))) into (cos (- (/ 1 (* K (pow (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) 3))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (/ 1 m) (/ 1 n)))) into (log (/ 2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (/ 1 m) (/ 1 n)))) into (log (/ 2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3)) into (pow (/ (pow 2 2) (pow (+ (/ 1 m) (/ 1 n)) 2)) 1/3) * [misc]backup-simplify: Simplify (/ 1 (pow (/ (pow 2 2) (pow (+ (/ 1 m) (/ 1 n)) 2)) 1/3)) into (pow (/ (pow (+ (/ 1 m) (/ 1 n)) 2) 4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (+ (/ 1 m) (/ 1 n))) into (/ 2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (/ 1 m) (/ 1 n)))) into (log (/ 2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ (pow (+ (/ 1 m) (/ 1 n)) 2) 4) 1/3) (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3)) into (* (+ (/ 1 m) (/ 1 n)) (pow (/ 1/4 2) 1/3)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 m) (/ 1 n)) (pow (/ 1/4 2) 1/3)) 0) into (+ (* (/ 1 m) (pow 1/8 1/3)) (* (/ 1 n) (pow 1/8 1/3))) * [misc]backup-simplify: Simplify (cos (- (/ (/ (/ 1 K) (* (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))))) (cbrt (/ 2 (+ (/ 1 m) (/ 1 n))))) (/ 1 M))) into (cos (- (/ 1 (* K (pow (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) 3))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 (* K (pow (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) 3))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ 1 (* K (pow (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) 3))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 (* K (pow (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) 3))) in m * [misc]taylor: Taking taylor expansion of (* K (pow (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) 3)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (pow (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) 3) in m * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (exp (* 1/3 (+ (log 2) (log m))))) into (pow (exp (* 1/3 (+ (log 2) (log m)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (pow (exp (* 1/3 (+ (log 2) (log m)))) 2)) into (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) * [misc]backup-simplify: Simplify (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) into (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) * [misc]backup-simplify: Simplify (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) into (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) * [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 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (- (/ 1 M))) into (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) into (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) into (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 1) into (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 0) into (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) in n * [misc]taylor: Taking taylor expansion of (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (exp (* 1/3 (+ (log 2) (log m))))) into (pow (exp (* 1/3 (+ (log 2) (log m)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (pow (exp (* 1/3 (+ (log 2) (log m)))) 2)) into (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) * [misc]backup-simplify: Simplify (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) into (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) * [misc]backup-simplify: Simplify (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) into (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) * [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 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (- (/ 1 M))) into (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) into (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) into (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 1) into (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 0) into (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) in M * [misc]taylor: Taking taylor expansion of (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (log m))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 2) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (exp (* 1/3 (+ (log 2) (log m))))) into (pow (exp (* 1/3 (+ (log 2) (log m)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (pow (exp (* 1/3 (+ (log 2) (log m)))) 2)) into (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) * [misc]backup-simplify: Simplify (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) into (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) * [misc]backup-simplify: Simplify (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) into (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) into (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) into (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 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 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 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 (- (/ 0 1) (+ (* 2 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow 2 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (+ (log 2) (log m)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (+ (log 2) (log m)))) n)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (* -1/3 (/ (exp (* 1/3 (+ (log 2) (log m)))) n))) (* (* -1/3 (/ (exp (* 1/3 (+ (log 2) (log m)))) n)) (exp (* 1/3 (+ (log 2) (log m)))))) into (- (* 2/3 (/ (pow (exp (* 1/3 (+ (log 2) (log m)))) 2) n))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (- (* 2/3 (/ (pow (exp (* 1/3 (+ (log 2) (log m)))) 2) n)))) (* (* -1/3 (/ (exp (* 1/3 (+ (log 2) (log m)))) n)) (pow (exp (* 1/3 (+ (log 2) (log m)))) 2))) into (- (/ (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n)) * [misc]backup-simplify: Simplify (+ (* K (- (/ (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n))) (* 0 (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) into (- (/ (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) n)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ (- (/ (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) n)) (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)))))) into (/ 1 (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n))) 0) into (/ 1 (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (/ 1 (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n))) 1) 1))) into (/ 1 (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n))) * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) (/ 1 (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n)))) (* 0 0)) into (/ (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n))) * [misc]backup-simplify: Simplify (- (/ (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n)))) into (- (/ (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n))))) into (- (/ (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n)))) * [misc]taylor: Taking taylor expansion of (- (/ (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n)))) in n * [misc]taylor: Taking taylor expansion of (/ (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n))) in n * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) in n * [misc]taylor: Taking taylor expansion of (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (exp (* 1/3 (+ (log 2) (log m))))) into (pow (exp (* 1/3 (+ (log 2) (log m)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (pow (exp (* 1/3 (+ (log 2) (log m)))) 2)) into (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) * [misc]backup-simplify: Simplify (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) into (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) * [misc]backup-simplify: Simplify (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) into (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) * [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 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (- (/ 1 M))) into (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M)) * [misc]backup-simplify: Simplify (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) into (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) into (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (* K (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) 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 (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) n) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 1) into (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 0) into (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (exp (* 1/3 (+ (log 2) (log m))))) into (pow (exp (* 1/3 (+ (log 2) (log m)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (pow (exp (* 1/3 (+ (log 2) (log m)))) 2)) into (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) 0) into 0 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 2) (log m)))) 0) (* 0 (exp (* 1/3 (+ (log 2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 2) (log m)))) 0) (* 0 (pow (exp (* 1/3 (+ (log 2) (log m)))) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) 1) (* 0 0)) into (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) * [misc]backup-simplify: Simplify (+ (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) (* 0 0)) into (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) * [misc]backup-simplify: Simplify (/ (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) into (/ (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 2) (log m)))) 0) (* 0 (exp (* 1/3 (+ (log 2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 2) (log m)))) 0) (* 0 (pow (exp (* 1/3 (+ (log 2) (log m)))) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (* 0 (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 0 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)))))) 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 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 2) (log m)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 2) (log m))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 2) (log m)))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/3 (+ (log 2) (log m)))) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log 2) (log m)))) 3) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (+ (* 0 (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (+ (* (/ (sin (- (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 0 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)))))) 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 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 2) (log m)))) 0) (* 0 (exp (* 1/3 (+ (log 2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 2) (log m)))) 0) (* 0 (pow (exp (* 1/3 (+ (log 2) (log m)))) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (* 0 (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 0 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3)))))) 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 (* K (pow (exp (* 1/3 (+ (log 2) (log m)))) 3))) (/ 1 M))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 K) (pow (exp (* 1/3 (+ (log 2) (log (/ 1 m))))) 3))) (/ 1 (/ 1 M)))) into (cos (- (/ K (pow (exp (* 1/3 (+ (log 2) (log (/ 1 m))))) 3)) M)) * [misc]approximate: Taking taylor expansion of (cos (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ -2 (+ (/ 1 m) (/ 1 n)))) into (log (/ -2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ -2 (+ (/ 1 m) (/ 1 n)))) into (log (/ -2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3)) into (pow (/ (pow -2 2) (pow (+ (/ 1 m) (/ 1 n)) 2)) 1/3) * [misc]backup-simplify: Simplify (/ (/ -1 K) (pow (/ (pow -2 2) (pow (+ (/ 1 m) (/ 1 n)) 2)) 1/3)) into (* -1 (* (pow (/ (pow (+ (/ 1 m) (/ 1 n)) 2) 4) 1/3) (/ 1 K))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ -2 (+ (/ 1 m) (/ 1 n)))) into (log (/ -2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]backup-simplify: Simplify (/ (* -1 (* (pow (/ (pow (+ (/ 1 m) (/ 1 n)) 2) 4) 1/3) (/ 1 K))) (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3)) into (* -1 (* (/ (+ (/ 1 m) (/ 1 n)) K) (pow (/ 1/4 -2) 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M)))) into (cos (- (/ 1 M) (/ 1 (* (pow (cbrt (/ -2 (+ (/ 1 m) (/ 1 n)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 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 (- 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log -2)) into (+ (log -2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log n))) into (* 1/3 (+ (log -2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log n)))) into (exp (* 1/3 (+ (log -2) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 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 (- 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log -2)) into (+ (log -2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log n))) into (* 1/3 (+ (log -2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log n)))) into (exp (* 1/3 (+ (log -2) (log n)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log n)))) (exp (* 1/3 (+ (log -2) (log n))))) into (pow (exp (* 1/3 (+ (log -2) (log n)))) 2) * [misc]backup-simplify: Simplify (/ (/ -1 K) (pow (exp (* 1/3 (+ (log -2) (log n)))) 2)) into (/ -1 (* K (pow (exp (* 1/3 (+ (log -2) (log n)))) 2))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 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 (- 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log -2)) into (+ (log -2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log n))) into (* 1/3 (+ (log -2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log n)))) into (exp (* 1/3 (+ (log -2) (log n)))) * [misc]backup-simplify: Simplify (/ (/ -1 (* K (pow (exp (* 1/3 (+ (log -2) (log n)))) 2))) (exp (* 1/3 (+ (log -2) (log n))))) into (/ -1 (* K (pow (exp (* 1/3 (+ (log -2) (log n)))) 3))) * [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 (* K (pow (exp (* 1/3 (+ (log -2) (log n)))) 3))) (/ 1 M)) into (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log n)))) 3)))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log n)))) 3))))) into (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log n)))) 3))))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log n)))) 3))))) into (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log n)))) 3))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (exp (* 1/3 (+ (log -2) (log m))))) into (pow (exp (* 1/3 (+ (log -2) (log m)))) 2) * [misc]backup-simplify: Simplify (/ (/ -1 K) (pow (exp (* 1/3 (+ (log -2) (log m)))) 2)) into (/ -1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 2))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (/ (/ -1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 2))) (exp (* 1/3 (+ (log -2) (log m))))) into (/ -1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 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 M into M * [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 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) (/ 1 M)) into (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ -2 (+ (/ 1 m) (/ 1 n)))) into (log (/ -2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ -2 (+ (/ 1 m) (/ 1 n)))) into (log (/ -2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3)) into (pow (/ (pow -2 2) (pow (+ (/ 1 m) (/ 1 n)) 2)) 1/3) * [misc]backup-simplify: Simplify (/ -1 (pow (/ (pow -2 2) (pow (+ (/ 1 m) (/ 1 n)) 2)) 1/3)) into (* -1 (pow (/ (pow (+ (/ 1 m) (/ 1 n)) 2) 4) 1/3)) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ -2 (+ (/ 1 m) (/ 1 n)))) into (log (/ -2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]backup-simplify: Simplify (/ (* -1 (pow (/ (pow (+ (/ 1 m) (/ 1 n)) 2) 4) 1/3)) (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3)) into (* -1 (* (+ (/ 1 m) (/ 1 n)) (pow (/ 1/4 -2) 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 (* (+ (/ 1 m) (/ 1 n)) (pow (/ 1/4 -2) 1/3))) 0) into (- (+ (* (/ 1 m) (pow -1/8 1/3)) (* (pow -1/8 1/3) (/ 1 n)))) * [misc]backup-simplify: Simplify (cos (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M)))) into (cos (- (/ 1 M) (/ 1 (* (pow (cbrt (/ -2 (+ (/ 1 m) (/ 1 n)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ -2 (+ (/ 1 m) (/ 1 n)))) into (log (/ -2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ -2 (+ (/ 1 m) (/ 1 n)))) into (log (/ -2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3)) into (pow (/ (pow -2 2) (pow (+ (/ 1 m) (/ 1 n)) 2)) 1/3) * [misc]backup-simplify: Simplify (/ -1 (pow (/ (pow -2 2) (pow (+ (/ 1 m) (/ 1 n)) 2)) 1/3)) into (* -1 (pow (/ (pow (+ (/ 1 m) (/ 1 n)) 2) 4) 1/3)) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ 2 (- (+ (/ 1 m) (/ 1 n)))) into (/ -2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (log (/ -2 (+ (/ 1 m) (/ 1 n)))) into (log (/ -2 (+ (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) into (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n)))))) into (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]backup-simplify: Simplify (/ (* -1 (pow (/ (pow (+ (/ 1 m) (/ 1 n)) 2) 4) 1/3)) (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3)) into (* -1 (* (+ (/ 1 m) (/ 1 n)) (pow (/ 1/4 -2) 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 (* (+ (/ 1 m) (/ 1 n)) (pow (/ 1/4 -2) 1/3))) 0) into (- (+ (* (/ 1 m) (pow -1/8 1/3)) (* (pow -1/8 1/3) (/ 1 n)))) * [misc]backup-simplify: Simplify (cos (- (/ (/ (/ 1 (- K)) (* (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))))) (/ 1 (- M)))) into (cos (- (/ 1 M) (/ 1 (* (pow (cbrt (/ -2 (+ (/ 1 m) (/ 1 n)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 M) (/ 1 (* (pow (cbrt (/ -2 (+ (/ 1 m) (/ 1 n)))) 3) K)))) in m * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (/ 1 (* (pow (cbrt (/ -2 (+ (/ 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 (* (pow (cbrt (/ -2 (+ (/ 1 m) (/ 1 n)))) 3) K)) in m * [misc]taylor: Taking taylor expansion of (* (pow (cbrt (/ -2 (+ (/ 1 m) (/ 1 n)))) 3) K) in m * [misc]taylor: Taking taylor expansion of (pow (cbrt (/ -2 (+ (/ 1 m) (/ 1 n)))) 3) in m * [misc]taylor: Taking taylor expansion of (cbrt (/ -2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (pow (/ -2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -2 (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -2 (+ (/ 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 (/ -2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ -2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ -2 1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (exp (* 1/3 (+ (log -2) (log m))))) into (pow (exp (* 1/3 (+ (log -2) (log m)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (pow (exp (* 1/3 (+ (log -2) (log m)))) 2)) into (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) K) into (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) * [misc]backup-simplify: Simplify (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) into (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) * [misc]backup-simplify: Simplify (- (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) into (- (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (- (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 1) into (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 0) into (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) in n * [misc]taylor: Taking taylor expansion of (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (exp (* 1/3 (+ (log -2) (log m))))) into (pow (exp (* 1/3 (+ (log -2) (log m)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (pow (exp (* 1/3 (+ (log -2) (log m)))) 2)) into (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) * [misc]backup-simplify: Simplify (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) into (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) * [misc]backup-simplify: Simplify (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) into (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) * [misc]backup-simplify: Simplify (- (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) into (- (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (- (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 1) into (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 0) into (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) in M * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 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 (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) in M * [misc]taylor: Taking taylor expansion of (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (log m))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log -2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -2) in M * [misc]taylor: Taking taylor expansion of -2 in M * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (exp (* 1/3 (+ (log -2) (log m))))) into (pow (exp (* 1/3 (+ (log -2) (log m)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (pow (exp (* 1/3 (+ (log -2) (log m)))) 2)) into (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) * [misc]backup-simplify: Simplify (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) into (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) * [misc]backup-simplify: Simplify (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) into (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [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 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 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 (- (/ 0 1) (+ (* -2 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow -2 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (+ (log -2) (log m)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (+ (log -2) (log m)))) n)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (* -1/3 (/ (exp (* 1/3 (+ (log -2) (log m)))) n))) (* (* -1/3 (/ (exp (* 1/3 (+ (log -2) (log m)))) n)) (exp (* 1/3 (+ (log -2) (log m)))))) into (- (* 2/3 (/ (pow (exp (* 1/3 (+ (log -2) (log m)))) 2) n))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (- (* 2/3 (/ (pow (exp (* 1/3 (+ (log -2) (log m)))) 2) n)))) (* (* -1/3 (/ (exp (* 1/3 (+ (log -2) (log m)))) n)) (pow (exp (* 1/3 (+ (log -2) (log m)))) 2))) into (- (/ (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) n)) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) 0) (* (- (/ (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) n)) K)) into (- (/ (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) n)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) (/ (- (/ (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) n)) (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))))) into (/ 1 (* K (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) n))) * [misc]backup-simplify: Simplify (- (/ 1 (* K (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) n)))) into (- (/ 1 (* K (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* K (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) n))))) into (- (/ 1 (* K (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) n)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (- (/ 1 (* K (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) n)))) 1) 1))) into (- (/ 1 (* K (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) n)))) * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) (- (/ 1 (* K (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) n))))) (* 0 0)) into (- (/ (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) (* K n)))) * [misc]backup-simplify: Simplify (- (- (/ (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) (* K n))))) into (/ (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) (* K n))) * [misc]backup-simplify: Simplify (+ 0 (/ (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) (* K n)))) into (/ (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) (* K n))) * [misc]taylor: Taking taylor expansion of (/ (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) (* K n))) in n * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) in n * [misc]taylor: Taking taylor expansion of (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (exp (* 1/3 (+ (log -2) (log m))))) into (pow (exp (* 1/3 (+ (log -2) (log m)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (pow (exp (* 1/3 (+ (log -2) (log m)))) 2)) into (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) * [misc]backup-simplify: Simplify (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) into (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) * [misc]backup-simplify: Simplify (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) into (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) * [misc]backup-simplify: Simplify (- (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) into (- (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (- (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) into (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) (* K n)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (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 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 1) into (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 0) into (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (exp (* 1/3 (+ (log -2) (log m))))) into (pow (exp (* 1/3 (+ (log -2) (log m)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (pow (exp (* 1/3 (+ (log -2) (log m)))) 2)) into (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log -2) (log m)))) 0) (* 0 (exp (* 1/3 (+ (log -2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log -2) (log m)))) 0) (* 0 (pow (exp (* 1/3 (+ (log -2) (log m)))) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) K) (* 0 0)) into (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)) * [misc]backup-simplify: Simplify (/ (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) into (/ (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) K)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 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 -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log -2) (log m)))) 0) (* 0 (exp (* 1/3 (+ (log -2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log -2) (log m)))) 0) (* 0 (pow (exp (* 1/3 (+ (log -2) (log m)))) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (* 0 (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) (/ 0 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))))) 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 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log -2) (log m)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -2) (log m))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log -2) (log m)))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/3 (+ (log -2) (log m)))) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) (+ (* (/ (sin (- (/ 1 M) (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) (* (pow (exp (* 1/3 (+ (log -2) (log m)))) 3) K)) (/ 0 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))))) into 0 * [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 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 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 -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log -2) (log m)))) 0) (* 0 (exp (* 1/3 (+ (log -2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log -2) (log m)))) 0) (* 0 (pow (exp (* 1/3 (+ (log -2) (log m)))) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (* 0 (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))) (/ 0 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3)))))) 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 (* K (pow (exp (* 1/3 (+ (log -2) (log m)))) 3))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (* (/ 1 (- K)) (pow (exp (* 1/3 (+ (log -2) (log (/ 1 (- m)))))) 3))))) into (cos (- (/ K (pow (exp (* 1/3 (+ (log -2) (log (/ -1 m))))) 3)) M)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 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 (/ 2 m) into (/ 2 m) * [misc]backup-simplify: Simplify (log (/ 2 m)) into (log (/ 2 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 m))) into (* 1/3 (log (/ 2 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 m)))) into (pow (/ 2 m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 n))) into (* 1/3 (log (/ 2 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 n)))) into (pow (/ 2 n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 n))) into (* 1/3 (log (/ 2 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 n)))) into (pow (/ 2 n) 1/3) * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n * [misc]taylor: Taking taylor expansion of (/ 2 n) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (log n))) into (* 1/3 (- (log 2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (log n)))) into (exp (* 1/3 (- (log 2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (log n)))) into (exp (* 1/3 (- (log 2) (log n)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 2 n) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow (/ 2 n) 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (log (/ 2 n)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (pow (/ 2 (pow n 4)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ 2 (pow n 4)) 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 (/ 2 (pow n 4)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (pow n 4))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (pow n 4)))) 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 (/ 2 (pow n 4))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (pow n 4)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- 4) (log n)) (log 2)) into (- (log 2) (* 4 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (* 4 (log n)))) into (* 1/3 (- (log 2) (* 4 (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (* 4 (log n))))) into (exp (* 1/3 (- (log 2) (* 4 (log n))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) into (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) into (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 2) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 2 n) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 2)) (pow (/ 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 3)))) 1)) (pow (/ 2 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 (/ 2 n))))) into (* 1/6 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow n 2))) 1) 1)))) into (* 2/9 (pow (/ 2 (pow n 7)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 2/9 (pow (/ 2 (pow n 7)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 2/9 in n * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow (/ 2 (pow n 7)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (pow n 7))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (pow n 7)))) 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 (/ 2 (pow n 7))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (pow n 7)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow n 7) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- 7) (log n)) (log 2)) into (- (log 2) (* 7 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (* 7 (log n)))) into (* 1/3 (- (log 2) (* 7 (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (* 7 (log n))))) into (exp (* 1/3 (- (log 2) (* 7 (log n))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) into (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) into (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) (pow (* 1 m) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) (* 1 m)) (exp (* 1/3 (- (log 2) (log n)))))) into (- (+ (exp (* 1/3 (- (log 2) (log n)))) (* 2/9 (* (pow m 2) (exp (* 1/3 (- (log 2) (* 7 (log n)))))))) (* 1/3 (* m (exp (* 1/3 (- (log 2) (* 4 (log n)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 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 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log n))) into (* 1/3 (+ (log 2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log n)))) into (exp (* 1/3 (+ (log 2) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 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 (- (/ 0 1) (+ (* 2 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow 2 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (+ (log 2) (log m)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (+ (log 2) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log 2) (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 2) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log 2) (log m)))) 1) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (+ (log 2) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 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 1) (+ (* 2 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 1)))) 2) into (/ 1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (+ (log 2) (log m))))) into (* 1/6 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow n 2))) 1) 1)))) into (* 2/9 (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2/9 in n * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 (/ (exp (* 1/3 (+ (log 2) (log m)))) 1) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (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 (- (/ 0 1) (+ (* 2 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow 2 1)))) 6) into (/ -1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow n 3))) (+ (* 0 (/ 1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (+ (log 2) (log m)))))) into (- (* 1/9 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (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 (* -14/81 (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of -14/81 in n * [misc]backup-simplify: Simplify -14/81 into -14/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log 2) (log m)))) 1) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -14/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log (/ 1 m))))) into (exp (* 1/3 (+ (log 2) (log (/ 1 m))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 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 (- 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log -2)) into (+ (log -2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log n))) into (* 1/3 (+ (log -2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log n)))) into (exp (* 1/3 (+ (log -2) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -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 (- (/ 0 -1) (+ (* -2 (/ (- (/ 1 n)) -1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow -2 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (+ (log -2) (log m)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (+ (log -2) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log -2) (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 -2) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log -2) (log m)))) 1) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (+ (log -2) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -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 -1) (+ (* -2 (/ 0 -1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) -1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -2 1)))) 2) into (/ 1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (+ (log -2) (log m))))) into (* 1/6 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow n 2))) 1) 1)))) into (* 2/9 (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2/9 in n * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 (/ (exp (* 1/3 (+ (log -2) (log m)))) 1) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -2 (/ 0 -1)) (* (* 2 (/ 1 n)) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow -2 1)))) 6) into (/ -1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow n 3))) (+ (* 0 (/ 1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (+ (log -2) (log m)))))) into (- (* 1/9 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (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 (* -14/81 (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of -14/81 in n * [misc]backup-simplify: Simplify -14/81 into -14/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log -2) (log m)))) 1) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log -2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -14/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log (/ 1 (- m)))))) into (exp (* 1/3 (+ (log -2) (log (/ -1 m))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 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 (/ 2 m) into (/ 2 m) * [misc]backup-simplify: Simplify (log (/ 2 m)) into (log (/ 2 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 m))) into (* 1/3 (log (/ 2 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 m)))) into (pow (/ 2 m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 n))) into (* 1/3 (log (/ 2 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 n)))) into (pow (/ 2 n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 n))) into (* 1/3 (log (/ 2 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 n)))) into (pow (/ 2 n) 1/3) * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n * [misc]taylor: Taking taylor expansion of (/ 2 n) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (log n))) into (* 1/3 (- (log 2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (log n)))) into (exp (* 1/3 (- (log 2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (log n)))) into (exp (* 1/3 (- (log 2) (log n)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 2 n) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow (/ 2 n) 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (log (/ 2 n)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (pow (/ 2 (pow n 4)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ 2 (pow n 4)) 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 (/ 2 (pow n 4)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (pow n 4))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (pow n 4)))) 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 (/ 2 (pow n 4))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (pow n 4)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- 4) (log n)) (log 2)) into (- (log 2) (* 4 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (* 4 (log n)))) into (* 1/3 (- (log 2) (* 4 (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (* 4 (log n))))) into (exp (* 1/3 (- (log 2) (* 4 (log n))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) into (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) into (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 2) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 2 n) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 2)) (pow (/ 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 3)))) 1)) (pow (/ 2 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 (/ 2 n))))) into (* 1/6 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow n 2))) 1) 1)))) into (* 2/9 (pow (/ 2 (pow n 7)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 2/9 (pow (/ 2 (pow n 7)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 2/9 in n * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow (/ 2 (pow n 7)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (pow n 7))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (pow n 7)))) 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 (/ 2 (pow n 7))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (pow n 7)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow n 7) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- 7) (log n)) (log 2)) into (- (log 2) (* 7 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (* 7 (log n)))) into (* 1/3 (- (log 2) (* 7 (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (* 7 (log n))))) into (exp (* 1/3 (- (log 2) (* 7 (log n))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) into (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) into (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) (pow (* 1 m) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) (* 1 m)) (exp (* 1/3 (- (log 2) (log n)))))) into (- (+ (exp (* 1/3 (- (log 2) (log n)))) (* 2/9 (* (pow m 2) (exp (* 1/3 (- (log 2) (* 7 (log n)))))))) (* 1/3 (* m (exp (* 1/3 (- (log 2) (* 4 (log n)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 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 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log n))) into (* 1/3 (+ (log 2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log n)))) into (exp (* 1/3 (+ (log 2) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 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 (- (/ 0 1) (+ (* 2 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow 2 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (+ (log 2) (log m)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (+ (log 2) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log 2) (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 2) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log 2) (log m)))) 1) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (+ (log 2) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 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 1) (+ (* 2 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 1)))) 2) into (/ 1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (+ (log 2) (log m))))) into (* 1/6 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow n 2))) 1) 1)))) into (* 2/9 (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2/9 in n * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 (/ (exp (* 1/3 (+ (log 2) (log m)))) 1) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (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 (- (/ 0 1) (+ (* 2 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow 2 1)))) 6) into (/ -1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow n 3))) (+ (* 0 (/ 1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (+ (log 2) (log m)))))) into (- (* 1/9 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (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 (* -14/81 (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of -14/81 in n * [misc]backup-simplify: Simplify -14/81 into -14/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log 2) (log m)))) 1) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -14/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log (/ 1 m))))) into (exp (* 1/3 (+ (log 2) (log (/ 1 m))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 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 (- 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log -2)) into (+ (log -2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log n))) into (* 1/3 (+ (log -2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log n)))) into (exp (* 1/3 (+ (log -2) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -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 (- (/ 0 -1) (+ (* -2 (/ (- (/ 1 n)) -1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow -2 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (+ (log -2) (log m)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (+ (log -2) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log -2) (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 -2) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log -2) (log m)))) 1) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (+ (log -2) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -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 -1) (+ (* -2 (/ 0 -1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) -1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -2 1)))) 2) into (/ 1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (+ (log -2) (log m))))) into (* 1/6 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow n 2))) 1) 1)))) into (* 2/9 (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2/9 in n * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 (/ (exp (* 1/3 (+ (log -2) (log m)))) 1) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -2 (/ 0 -1)) (* (* 2 (/ 1 n)) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow -2 1)))) 6) into (/ -1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow n 3))) (+ (* 0 (/ 1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (+ (log -2) (log m)))))) into (- (* 1/9 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (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 (* -14/81 (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of -14/81 in n * [misc]backup-simplify: Simplify -14/81 into -14/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log -2) (log m)))) 1) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log -2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -14/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log (/ 1 (- m)))))) into (exp (* 1/3 (+ (log -2) (log (/ -1 m))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ m n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 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 (/ 2 m) into (/ 2 m) * [misc]backup-simplify: Simplify (log (/ 2 m)) into (log (/ 2 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 m))) into (* 1/3 (log (/ 2 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 m)))) into (pow (/ 2 m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 n))) into (* 1/3 (log (/ 2 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 n)))) into (pow (/ 2 n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ m n))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ m n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ m n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ 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 (/ 2 (+ m n))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ m 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 (+ 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 (/ 2 n) into (/ 2 n) * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 n))) into (* 1/3 (log (/ 2 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 n)))) into (pow (/ 2 n) 1/3) * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n * [misc]taylor: Taking taylor expansion of (/ 2 n) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (log n))) into (* 1/3 (- (log 2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (log n)))) into (exp (* 1/3 (- (log 2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (log n)))) into (exp (* 1/3 (- (log 2) (log n)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 2 n) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow (/ 2 n) 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (log (/ 2 n)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (pow (/ 2 (pow n 4)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ 2 (pow n 4)) 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 (/ 2 (pow n 4)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (pow n 4))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (pow n 4)))) 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 (/ 2 (pow n 4))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (pow n 4)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- 4) (log n)) (log 2)) into (- (log 2) (* 4 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (* 4 (log n)))) into (* 1/3 (- (log 2) (* 4 (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (* 4 (log n))))) into (exp (* 1/3 (- (log 2) (* 4 (log n))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) into (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) into (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 2) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 2 n) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 2)) (pow (/ 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 3)))) 1)) (pow (/ 2 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 (/ 2 n))))) into (* 1/6 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow n 2))) 1) 1)))) into (* 2/9 (pow (/ 2 (pow n 7)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 2/9 (pow (/ 2 (pow n 7)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 2/9 in n * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow (/ 2 (pow n 7)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (pow n 7))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (pow n 7)))) 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 (/ 2 (pow n 7))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (pow n 7)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow n 7) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- 7) (log n)) (log 2)) into (- (log 2) (* 7 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (* 7 (log n)))) into (* 1/3 (- (log 2) (* 7 (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (* 7 (log n))))) into (exp (* 1/3 (- (log 2) (* 7 (log n))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) into (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) into (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (- (log 2) (* 7 (log n)))))) (pow (* 1 m) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log 2) (* 4 (log n)))))) (* 1 m)) (exp (* 1/3 (- (log 2) (log n)))))) into (- (+ (exp (* 1/3 (- (log 2) (log n)))) (* 2/9 (* (pow m 2) (exp (* 1/3 (- (log 2) (* 7 (log n)))))))) (* 1/3 (* m (exp (* 1/3 (- (log 2) (* 4 (log n)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 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 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log n))) into (* 1/3 (+ (log 2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log n)))) into (exp (* 1/3 (+ (log 2) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 m) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 m) (/ 1 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 (+ (/ 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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 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 (- (/ 0 1) (+ (* 2 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow 2 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (+ (log 2) (log m)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (+ (log 2) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log 2) (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 2) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log 2) (log m)))) 1) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (+ (log 2) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 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 1) (+ (* 2 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 1)))) 2) into (/ 1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (+ (log 2) (log m))))) into (* 1/6 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow n 2))) 1) 1)))) into (* 2/9 (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2/9 in n * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 (/ (exp (* 1/3 (+ (log 2) (log m)))) 1) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (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 (- (/ 0 1) (+ (* 2 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow 2 1)))) 6) into (/ -1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log 2)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow n 3))) (+ (* 0 (/ 1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (+ (log 2) (log m)))))) into (- (* 1/9 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (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 (* -14/81 (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of -14/81 in n * [misc]backup-simplify: Simplify -14/81 into -14/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log 2) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 2) (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 2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 2) (log m)) into (+ (log 2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 2) (log m))) into (* 1/3 (+ (log 2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log m)))) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log 2) (log m)))) 1) into (exp (* 1/3 (+ (log 2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 2) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -14/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 2) (log (/ 1 m))))) into (exp (* 1/3 (+ (log 2) (log (/ 1 m))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 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 (- 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log -2)) into (+ (log -2) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log n))) into (* 1/3 (+ (log -2) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log n)))) into (exp (* 1/3 (+ (log -2) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (/ 1 (- m)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (/ 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 (/ 2 (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (/ 2 (+ (/ 1 (- m)) (/ 1 (- 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 (+ (/ 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 (/ 2 -1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -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 (- (/ 0 -1) (+ (* -2 (/ (- (/ 1 n)) -1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow -2 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (+ (log -2) (log m)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (+ (log -2) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (+ (log -2) (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 -2) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log -2) (log m)))) 1) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (+ (log -2) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -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 -1) (+ (* -2 (/ 0 -1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) -1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -2 1)))) 2) into (/ 1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (+ (log -2) (log m))))) into (* 1/6 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow n 2))) 1) 1)))) into (* 2/9 (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2/9 in n * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking 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 (/ (exp (* 1/3 (+ (log -2) (log m)))) 1) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -2 (/ 0 -1)) (* (* 2 (/ 1 n)) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow -2 1)))) 6) into (/ -1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log m)) (log -2)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow n 3))) (+ (* 0 (/ 1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (+ (log -2) (log m)))))) into (- (* 1/9 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (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 (* -14/81 (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* -14/81 (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of -14/81 in n * [misc]backup-simplify: Simplify -14/81 into -14/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log -2) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -2) (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 -2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -2) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 -2) (log m)) into (+ (log -2) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log m))) into (* 1/3 (+ (log -2) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log m)))) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log -2) (log m)))) 1) into (exp (* 1/3 (+ (log -2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -2) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log -2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -14/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -2) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log (/ 1 (- m)))))) into (exp (* 1/3 (+ (log -2) (log (/ -1 m))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n))))) (cos (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (cos (/ K (/ 2 (+ n m)))) (cos M)) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (- (* (cos (/ K (/ 2 (+ n m)))) (cos M)) (* (sin (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n))))) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n))))) (cos (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (cos (/ K (/ 2 (+ n m)))) (cos M)) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (- (* (cos (/ K (/ 2 (+ n m)))) (cos M)) (* (sin (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n))))) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n))))) (cos M)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ K (/ 2 (+ n m))))) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (+ (* (cos M) (cos (/ K (/ 2 (+ n m))))) (* (sin (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n))))) (sin M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (* (cbrt (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (cbrt (/ 2 (+ m n)))))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 2 (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ m n)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (* (cbrt (sqrt (/ 2 (+ m n)))) (cbrt (sqrt (/ 2 (+ m n)))))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (* 1 (cbrt (/ 2 (+ m n))))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (* (cbrt 2) (cbrt (/ 1 (+ m n))))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (+ (pow m 3) (pow n 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (pow m 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (* (cbrt (/ 2 (+ (pow m 3) (pow n 3)))) (cbrt (+ (* m m) (- (* n n) (* m n)))))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (- (* m m) (* n n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 2 (+ m n)) (- m n))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (* (cbrt (/ (/ 2 (+ m n)) (- m n))) (cbrt (- m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (/ (cbrt 2) (cbrt (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) * [misc]simplify: Simplified (2 1 1 1 1 2 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (* (cbrt (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (cbrt (/ 2 (+ m n))))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 2 (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ m n)))) * [misc]simplify: Simplified (2 1 1 1 1 2 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (* (cbrt (sqrt (/ 2 (+ m n)))) (cbrt (sqrt (/ 2 (+ m n))))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1 2 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (* 1 (cbrt (/ 2 (+ m n)))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [misc]simplify: Simplified (2 1 1 1 1 2 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (* (cbrt 2) (cbrt (/ 1 (+ m n)))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (+ (pow m 3) (pow n 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (pow m 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 1 1 1 2 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (* (cbrt (/ 2 (+ (pow m 3) (pow n 3)))) (cbrt (+ (* m m) (- (* n n) (* m n))))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (- (* m m) (* n n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 2 (+ m n)) (- m n))) * [misc]simplify: Simplified (2 1 1 1 1 2 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (* (cbrt (/ (/ 2 (+ m n)) (- m n))) (cbrt (- m n))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [misc]simplify: Simplified (2 1 1 1 1 2 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (/ (cbrt 2) (cbrt (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) * [misc]simplify: Simplified (2 1 1 1 1 2 1 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (* (cbrt (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 2 (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ m n)))) * [misc]simplify: Simplified (2 1 1 1 1 2 1 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (* (cbrt (sqrt (/ 2 (+ m n)))) (cbrt (sqrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1 2 1 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (* 1 (cbrt (/ 2 (+ m n)))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [misc]simplify: Simplified (2 1 1 1 1 2 1 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (* (cbrt 2) (cbrt (/ 1 (+ m n)))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (+ (pow m 3) (pow n 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (pow m 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 1 1 1 2 1 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (* (cbrt (/ 2 (+ (pow m 3) (pow n 3)))) (cbrt (+ (* m m) (- (* n n) (* m n))))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (- (* m m) (* n n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 2 (+ m n)) (- m n))) * [misc]simplify: Simplified (2 1 1 1 1 2 1 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (* (cbrt (/ (/ 2 (+ m n)) (- m n))) (cbrt (- m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [misc]simplify: Simplified (2 1 1 1 1 2 1 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (/ (cbrt 2) (cbrt (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 67 ] 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: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (/ K (pow (exp (* 1/3 (+ (log 2) (log (/ 1 m))))) 3)) M)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (cos (- (/ K (/ 2 m)) M)) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* (cos (- (/ K (/ 2 m)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (/ K (pow (exp (* 1/3 (+ (log -2) (log (/ -1 m))))) 3)) M)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (cos (- (/ K (/ 2 m)) M)) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* (cos (- (/ K (/ 2 m)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (- (log 2) (log n)))) (* 2/9 (* (pow m 2) (exp (* 1/3 (- (log 2) (* 7 (log n)))))))) (* 1/3 (* m (exp (* 1/3 (- (log 2) (* 4 (log n)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (+ (* (* (* m 2/9) m) (* (cbrt 2) (pow n -7/3))) (* (cbrt 2) (+ (* (pow n -4/3) (* m -1/3)) (pow n -1/3)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (+ (* (* (* m 2/9) m) (* (cbrt 2) (pow n -7/3))) (* (cbrt 2) (+ (* (pow n -4/3) (* m -1/3)) (pow n -1/3))))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log 2) (log (/ 1 m))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 m)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 m))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log -2) (log (/ -1 m))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 m)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 m))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (- (log 2) (log n)))) (* 2/9 (* (pow m 2) (exp (* 1/3 (- (log 2) (* 7 (log n)))))))) (* 1/3 (* m (exp (* 1/3 (- (log 2) (* 4 (log n)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (+ (* (* (* m 2/9) m) (* (cbrt 2) (pow n -7/3))) (* (cbrt 2) (+ (* (pow n -4/3) (* m -1/3)) (pow n -1/3)))) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (+ (* (* (* m 2/9) m) (* (cbrt 2) (pow n -7/3))) (* (cbrt 2) (+ (* (pow n -4/3) (* m -1/3)) (pow n -1/3)))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log 2) (log (/ 1 m))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 m)) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 m)))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log -2) (log (/ -1 m))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 m)) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 (+ m n))) (cbrt (/ 2 m)))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (- (log 2) (log n)))) (* 2/9 (* (pow m 2) (exp (* 1/3 (- (log 2) (* 7 (log n)))))))) (* 1/3 (* m (exp (* 1/3 (- (log 2) (* 4 (log n)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (+ (* (* (* m 2/9) m) (* (cbrt 2) (pow n -7/3))) (* (cbrt 2) (+ (* (pow n -4/3) (* m -1/3)) (pow n -1/3)))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (+ (* (* (* m 2/9) m) (* (cbrt 2) (pow n -7/3))) (* (cbrt 2) (+ (* (pow n -4/3) (* m -1/3)) (pow n -1/3)))) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log 2) (log (/ 1 m))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 m)) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 m)) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log -2) (log (/ -1 m))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 m)) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (K m n M l) (* (cos (- (/ (/ K (* (cbrt (/ 2 m)) (cbrt (/ 2 (+ m n))))) (cbrt (/ 2 (+ m n)))) 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: Finding splitpoints for: (# # #) * * * [misc]regime-changes: Trying 5 branch expressions: (l M n m K) * * * * [misc]regimes: Trying to branch on l from (# # #) * * * * [misc]regimes: Trying to branch on M from (# # #) * * * * [misc]regimes: Trying to branch on n from (# # #) * * * * [misc]regimes: Trying to branch on m from (# # #) * * * * [misc]regimes: Trying to branch on K from (# # #) * * * [misc]regime: Found split indices: #