* [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: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 23 additional inputs, on iter 1 have 233 / 256 * * * * [misc]points: Computing exacts for 23 points * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 259 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 1 * [misc]none: All alts: 1 * [misc]none: Fresh alt: (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))): 0 * [misc]none: Best fresh alt per 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-1.0206802772870221e+152 1.952264243778306e-263 -9.020752996011849e-177 -1.411295197436745e-164): 0 * [misc]none: (-1.9195946566262024e-295 -1.5106206885795175e-107 2.006607317631719e-226 9.725570899664205e+257 3.518645085640818e+44): 0 * [misc]none: (-2.5931746020885025e+28 2.3890698208301296e+174 -2.9139794528704084e-195 -3.435547063305358e+217 1.897680776087967e+200): 0 * [misc]none: (0.0008770234648074342 -3.000257314698498e+132 1.8714595161099368e+273 2.4654525054106353e-86 3.052393267206733e+305): 0 * [misc]none: Picked alt (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [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) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 n) (/ 1 K))))) (/ 1 (/ 1 M)))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in m * [misc]taylor: Taking taylor expansion of (* m K) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in m * [misc]taylor: Taking taylor expansion of (* n K) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in n * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* n K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n K)) in M * [misc]taylor: Taking taylor expansion of (* n K) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* n K) into (* n K) * [misc]backup-simplify: Simplify (/ 1 (* n K)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* n K)))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- n)) (/ 1 (- K)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 n) (* 1/2 m)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 n) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/2 m) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 n) 0) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n (* 1 K)))) (+ (* 1/2 (* 1 (* 1 (* m K)))) (* -1 (* M (* 1 (* 1 1)))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M) * [misc]approximate: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K)))))) (* 1/2 (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M) * [misc]approximate: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 0 (/ 1 M)) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K))))))) (* 1/2 (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 n) (* 1/2 m))) into (log (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) into (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 n) (* 1/2 m))))) into (pow (+ (* 1/2 n) (* 1/2 m)) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 m) M)) into (log (- (* 1/2 m) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 m) M))) into (* 2 (log (- (* 1/2 m) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 m) M)))) into (pow (- (* 1/2 m) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (* 1/2 n) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (* 1/2 n) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 n) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (log (- M)) into (log (- M)) * [misc]backup-simplify: Simplify (* 2 (log (- M))) into (* 2 (log (- M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- M)))) into (pow (- M) 2) * [misc]taylor: Taking taylor expansion of (pow (- M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (* 2 (+ (log M) (log -1))) into (* 2 (+ (log M) (log -1))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- (* 1/2 n) M) 1)))) 1) into (/ 1/2 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M)))) into (/ 1 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 1) 1)))) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- M) 1)))) 1) into (/ -1/2 M) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/2 M)) (* 0 (log (- M)))) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- M)))) (+ (* (/ (pow (- (/ 1 M)) 1) 1)))) into (* -1 M) * [misc]taylor: Taking taylor expansion of (* -1 M) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log M) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log M) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (- (* 1/2 n) M) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 n) M) 1)))) 2) into (/ -1/8 (pow (- (* 1/2 n) M) 2)) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/8 (pow (- (* 1/2 n) M) 2))) (+ (* 0 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M))))) into (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) 1) 1)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n m))) (+ (* 1/4 (pow (* 1 (* 1 m)) 2)) (exp (* 2 (+ (log M) (log -1)))))) into (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m)))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) (log -1)) into (- (log -1) (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log M))) into (* 2 (- (log -1) (log M))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log M)))) into (exp (* 2 (- (log -1) (log M)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 1/2)) into (- (log 1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log n))) into (* 2 (- (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log n)))) into (exp (* 2 (- (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 1)) (pow 1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* (- (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m)))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (* 4 (/ 1 M))) 0) (* (* 4 (/ 1 (pow M 2))) (exp (* 2 (- (log 1/2) (log m))))))) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (- (* 4 (/ 1 M))) 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log (/ 1 m))))) into (exp (* 2 (- (log 1/2) (log (/ 1 m))))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) 0) into (- (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log M))) into (* -2 (log M)) * [misc]backup-simplify: Simplify (exp (* -2 (log M))) into (pow M -2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1/2)) into (- (log -1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log n))) into (* 2 (- (log -1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log n)))) into (exp (* 2 (- (log -1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 1)) (pow -1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 4 (/ 1 M)))) (* 0 2)) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) (* 4 (/ 1 (pow M 2)))) (+ (* 0 (- (* 4 (/ 1 M)))) (* 0 1))) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) 0) (+ (* 0 (- (* 4 (/ 1 M)))) (* 0 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log (/ 1 (- m)))))) into (exp (* 2 (- (log -1/2) (log (/ -1 m))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (* K (+ m n)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* n (* 1 K))) (* 1 (* 1 (* m K)))) into (+ (* m K) (* n K)) * [misc]approximate: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* m K) (* n K)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* m K) (* n K)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (expm1 (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (expm1 (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (log1p (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (log1p (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [enter]simplify: Simplifying (* (sin (/ (* K (+ m n)) 2)) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ m n) (/ 2 K)))) * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (log (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (log (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (exp (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (exp (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) (cbrt (cos (fma (/ K 2) (+ m n) (- M))))) * [exit]simplify: Simplified to (* (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) (cbrt (cos (fma (/ K 2) (+ m n) (- M))))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (pow (cos (fma (+ m n) (/ K 2) (- M))) 3) * [exit]simplify: Simplified to (pow (cos (fma (+ m n) (/ K 2) (- M))) 3) * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (sqrt (cos (fma (/ K 2) (+ m n) (- M)))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (cos (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (sqrt (cos (fma (/ K 2) (+ m n) (- M)))) * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (expm1 (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (expm1 (fma (/ K 2) (+ m n) (- M))) * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log1p (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (log1p (fma (/ K 2) (+ m n) (- M))) * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (log (fma (/ K 2) (+ m n) (- M))) * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (exp (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (exp (fma (/ K 2) (+ m n) (- M))) * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ (* K (+ m n)) 2) M)) (cbrt (- (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ K 2) (+ m n) (- M))) (cbrt (fma (/ K 2) (+ m n) (- M)))) * [exit]simplify: Simplified to (* (cbrt (fma (/ K 2) (+ m n) (- M))) (cbrt (fma (/ K 2) (+ m n) (- M)))) * [enter]simplify: Simplifying (cbrt (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (cbrt (fma (/ K 2) (+ m n) (- M))) * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ (* K (+ m n)) 2) M) (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * [exit]simplify: Simplified to (pow (fma (/ K 2) (+ m n) (- M)) 3) * [exit]simplify: Simplified to (pow (fma (/ K 2) (+ m n) (- M)) 3) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (sqrt (fma (/ K 2) (+ m n) (- M))) * [enter]simplify: Simplifying (sqrt (- (/ (* K (+ m n)) 2) M)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ K 2) (+ m n) (- M))) * [exit]simplify: Simplified to (sqrt (fma (/ K 2) (+ m n) (- M))) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ (* K (+ m n)) 2) 3) (pow M 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (fma (* (* (/ K 2) (+ m n)) (* (/ K 2) (+ m n))) (* (/ K 2) (+ m n)) (* (* M M) (- M))) * [exit]simplify: Simplified to (fma (* (* (/ K 2) (+ m n)) (* (/ K 2) (+ m n))) (* (/ K 2) (+ m n)) (* (* M M) (- M))) * [enter]simplify: Simplifying (+ (* (/ (* K (+ m n)) 2) (/ (* K (+ m n)) 2)) (+ (* M M) (* (/ (* K (+ m n)) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (fma (* (+ m n) (/ K 2)) M (fma (* (+ m n) (/ K 2)) (* (+ m n) (/ K 2)) (* M M))) * [exit]simplify: Simplified to (fma (* (+ m n) (/ K 2)) M (fma (* (+ m n) (/ K 2)) (* (+ m n) (/ K 2)) (* M M))) * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (* K (+ m n)) 2) (/ (* K (+ m n)) 2)) (* M M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * [exit]simplify: Simplified to (fma (* (+ m n) (/ K 2)) (* (+ m n) (/ K 2)) (* M (- M))) * [exit]simplify: Simplified to (fma (* (+ m n) (/ K 2)) (* (+ m n) (/ K 2)) (* M (- M))) * [enter]simplify: Simplifying (+ (/ (* K (+ m n)) 2) M) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma (/ K 2) (+ m n) M) * [exit]simplify: Simplified to (fma (/ K 2) (+ m n) M) * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- M) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- M) * [exit]simplify: Simplified to (- M) * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (expm1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (expm1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (log1p (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (log1p (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) * [enter]simplify: Simplifying (pow (cbrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (- (/ (+ m n) 2) M) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [enter]simplify: Simplifying (cbrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (- (/ (+ m n) 2) M) 2) (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * [exit]simplify: Simplified to (* (pow (- (/ (+ n m) 2) M) 3) (pow (- (/ (+ n m) 2) M) 3)) * [exit]simplify: Simplified to (* (pow (- (/ (+ n m) 2) M) 3) (pow (- (/ (+ n m) 2) M) 3)) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (expm1 (* (+ m n) K)) * [exit]simplify: Simplified to (expm1 (* (+ m n) K)) * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (log1p (* (+ m n) K)) * [exit]simplify: Simplified to (log1p (* (+ m n) K)) * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (log (* (+ m n) K)) * [exit]simplify: Simplified to (log (* (+ m n) K)) * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (exp K) (+ m n)) * [exit]simplify: Simplified to (pow (exp K) (+ m n)) * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) * [exit]simplify: Simplified to (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) * [enter]simplify: Simplifying (cbrt (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* K (+ m n)) (* K (+ m n))) (* K (+ m n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (pow (* (+ m n) K) 3) * [exit]simplify: Simplified to (pow (* (+ m n) K) 3) * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [enter]simplify: Simplifying (sqrt (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * [exit]simplify: Simplified to (sqrt (* (+ m n) K)) * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* K m) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* m K) * [exit]simplify: Simplified to (* m K) * [enter]simplify: Simplifying (* K n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* n K) * [exit]simplify: Simplified to (* n K) * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* m K) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* K m) * [exit]simplify: Simplified to (* K m) * [enter]simplify: Simplifying (* n K) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* K n) * [exit]simplify: Simplified to (* K n) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (* K (cbrt (+ m n))) (cbrt (+ m n))) * [exit]simplify: Simplified to (* (* K (cbrt (+ m n))) (cbrt (+ m n))) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (sqrt (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* K (sqrt (+ m n))) * [exit]simplify: Simplified to (* K (sqrt (+ m n))) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* K 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to K * [exit]simplify: Simplified to K * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (+ (pow m 3) (pow n 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (fma (* n n) (* K n) (* (* m K) (* m m))) * [exit]simplify: Simplified to (fma (* n n) (* K n) (* (* m K) (* m m))) * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* K (- (* m m) (* n n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (* (* (- m n) (+ n m)) K) * [exit]simplify: Simplified to (* (* (- m n) (+ n m)) K) * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* 1/2 K) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* 1/2 K) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* 1/2 K) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* 1/2 K) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* n K))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* 1/2 K) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (+ (fma m (fma 1/4 m (* n 1/2)) (* (* M -1) (* M -1))) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (exp (* 2 (- (log 1/2) (log (/ 1 m)))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (- (fma (* 1/2 m) (* 1/2 m) l) (fabs (- m n))))) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (exp (* 2 (- (log -1/2) (log (/ -1 m)))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (exp (fma (/ (- -1/2) (/ -1 m)) (/ -1/2 (/ -1 m)) (fabs (- m n)))) (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp l))) * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (+ (* m K) (* n K)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (+ (* m K) (* n K)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (+ (* m K) (* n K)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 3 * [misc]none: All alts: 3 * [misc]none: Fresh alt: (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * [misc]none: Fresh alt: (λ (K m n M l) (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * [misc]none: Fresh alt: (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))): 0 * [misc]none: (λ (K m n M l) (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))): 1 * [misc]none: (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))): 2 * [misc]none: Best fresh alt per point * [misc]none: (-5.04517621812085e-211 7.201480790740299e-179 -1.0528348834850839e-171 -2.0234906773772564e-271 3.868576405210662e+205): 0 * [misc]none: (5.446873598073321e+162 1.4663998973627134e-238 -1.3149948093638181e+216 2.1339195959378713e+37 -1.5922602902707721e+211): 2 * [misc]none: (4.148782755357247e-69 -5.9261354001783495e+271 8.996958417786809e-18 1.0149726196731202e+215 1.0198105470613371e+285): 0 * [misc]none: (-5.2271024692485736e+85 8.616527569794918e+261 1.5351760868919323e-228 2.492291349381809e-19 -4.875555867905252e-199): 2 * [misc]none: (-2.8092386584898457e-126 4.956874447675854e+44 -0.0008637352641276258 3.9527646011654944e+223 -416887.1735918209): 0 * [misc]none: (-1.3218720575766097e+259 -2.6361301161823517e+291 -3.58692239490092e-189 -8.714662804324239e+123 -2.0690145479231725e+226): 2 * [misc]none: (2.5448044687286245e-57 -2.8947438355755815e-272 -7.847602258409696e-83 8.286468159250096e-185 -3.565946196176903e-45): 0 * [misc]none: (-8.716790694938005e+19 9.220860892290228e-307 8.217214386486567e-257 2.114140784433744e-89 2.821244759184305e-36): 0 * [misc]none: (5.2929348013280044e+122 -1.2731275014046502e+202 -1.1078965001857068e+121 1.84187586895799e-205 -4.5211916553585705e-186): 2 * [misc]none: (1.3883219622137886e-117 -2.929784598719304e+192 1.7728562712881217e-93 -4.805692180486833e-221 1.862577956912645e-48): 0 * [misc]none: (-1.9260470074168923e-175 6.161714426091811e+49 1.3302732500613692e+281 -1.0196339614557304e-177 2.90211786335264e-37): 0 * [misc]none: (-4.300467568310491e+226 -8.53429270661667e-134 4.0964711002207995e-212 1.580207677915082e+191 -5.220117879809159e+243): 0 * [misc]none: (-5.566497093933693e-53 9.45646148733341e-285 1.0677575561217358e+17 -3.1740957427009566e+264 4.091491611856639e-48): 0 * [misc]none: (-3.5308096785465145e-308 4.222411386675556e+71 -5.5884366551807404e-247 -9.756323410322376e-213 1.752981132145179e-167): 0 * [misc]none: (8.580882316865485e-06 2.4182108745295748e+266 5.839927163927348e-155 1.3444852471407947e+294 2.0780585786323507e+240): 0 * [misc]none: (-7.917026565246701e-171 3.246664379752416e-272 3.8521445731814444e+260 2.7590103806751477e+222 -129438874571.21239): 0 * [misc]none: (5.469783245890278e+26 7.914850330675002e-19 -3.432736929641131e+300 -3.2700635141940998e+283 -4.4613099049004254e+241): 2 * [misc]none: (3.7685655423308335e+27 1.0360166378839602e+118 5.938877330787517e+210 -4.6383289754862774e-265 -8.870988214235588e+32): 0 * [misc]none: (-4.515707650144248e+46 2.2059280365907813e-303 -5.318534426060458e-80 4.35198762746262e-10 1.7940104434235838e-79): 0 * [misc]none: (-1.6222504842227196e+203 3.464509759309695e-118 1.8116687320710734e+212 7.399244553493409e+176 1.9801172272883237e+51): 2 * [misc]none: (-5.3804227524895966e+272 -1.6262140937914424e+259 4.746403017367404e+292 -243504670670049.88 1.058485305049321e-236): 2 * [misc]none: (1.4958950327342934e+40 -5.6371087632408715e+230 9.548141814318101e+61 8.472112984208858e+264 -5.6566069495104535e-28): 0 * [misc]none: (3.542383641384247e+32 5.984046261163795e-137 3.821394955430366e-65 -4.000738692973085e-56 -1.744016021183931e-146): 0 * [misc]none: (-3.075763788296428e+80 6.216416123989873e-205 -2.1211816305410756e-51 35132951587276764.0 1.5612009751463173e-99): 0 * [misc]none: (-1.0956137616687424e+167 6.341785155684271e+19 -1.1376431003759184e+61 7.719189018575495e+71 1.0375909582941405e+176): 0 * [misc]none: (-5.9414456573203e-112 -3.1444471564655386e+68 -6.579336503804724e-137 -4.201687332453176e+294 -4.188640541099123e-240): 0 * [misc]none: (1.8269212298308998e+214 1789977963981.046 -1.7899154283931006e-62 1.6281717766697912e+39 3.5243641367880456e+86): 0 * [misc]none: (4.344802098601123e-298 4.508329239962989e+257 -1.211264682641895e-292 1.0495684746531957e+167 2.721003254105153e-81): 0 * [misc]none: (-3.0671153252781823e-63 -7.74362334743424e+32 -2.2376851712564295e-118 1.64239269831532e+149 -1.576948173228613e+33): 0 * [misc]none: (-9.827696191097834e-18 -1.3343140776153144e-304 -9.906575581428813e+195 7.10957194421701e+200 -4.7756557550151386e+160): 0 * [misc]none: (2.4256946179069016e+78 6.207394963032113e+30 -7.218692088264328e+54 8.781920275794267e+61 3.5618749791650757e+87): 0 * [misc]none: (4.9372470656494625e-201 1.4446355009900792e+23 -3.5082856951249954e-122 9.917487178181935e-54 -7.01049497494046e-138): 0 * [misc]none: (3.841494064694043e+276 3.642806409692576e+70 -3.326243684234595e+241 -7.587678445119084e+247 1.518078533135906e+61): 2 * [misc]none: (1.5052438492777668e+214 1.5460201380138582e-108 6.354924490516637e-174 1.1935837539207151e+36 -1.6901036379481523e+68): 0 * [misc]none: (5.558607723763576e+296 -5129.844514220037 -8.518839978003416e+199 5.0618502549145104e+216 -2.0899529309308688e-173): 2 * [misc]none: (-1.3078423091955545e+95 8.726419779901594e-156 1.5484790382727637e+258 2.2758369496030736e+44 2.7646272679971947e+138): 2 * [misc]none: (1.8029164814151534e-305 -8.140052952226443e-29 -3.868827374468717e+273 -9.30868828487235e-242 7.865810923274834e+251): 0 * [misc]none: (9.949795070357293e-13 3.9753155304068916e+192 -1.5751944823937151e-208 -5.711690539427335e-292 2.0698086438592394e+99): 0 * [misc]none: (8.149794087375897e+77 1.4399038101240658e-157 -0.0033935472374883513 -1.873060887288803e+204 6.486236446634097e-143): 0 * [misc]none: (-6.777569686362558e+23 -3.976258322985434e+241 1.0713666056080785e-84 -1.4481584190101499e-109 1.8890847145741933e+54): 0 * [misc]none: (5.334416108525731e+103 8.243928876632343e+120 4.915746009665795e+153 -1.2716911445748643e-294 -1.178199525484178e+291): 0 * [misc]none: (-2.616452914461827e+123 -1.3552545859518693e-149 1.0769411808120101e+237 2.7212207505395135e+138 -1.7192030807828345e+260): 2 * [misc]none: (-3.070590530502344e+254 4.3361011341035273e+108 -7.078347720981057e+296 -1.1633032638785635e+290 -2.3832835734274537e-77): 2 * [misc]none: (-2.0550237535049573e-58 3.3652051120813564e-167 -1.6071108269264857e+240 2.2507296241296892e-278 -8.625502649886978e-116): 0 * [misc]none: (-7.605291673043568e+86 1.3555181915244097e+58 5.535572593369702e+234 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* [misc]none: (1.4572701198617546e+35 -2.114090989525349e-257 1.0605849328606976e+17 4.635074616884763e+136 3.2413518799476666e+266): 0 * [misc]none: (-4.1778642749867076e+95 7.392698153850156e+231 1.0005989868956712e+97 5.3783857635125407e+135 3.442751886867014e-55): 2 * [misc]none: (2.3644283305363024e-83 3.9340975132726664e+287 5.2425466679918264e-219 1.0547624812292463e-145 4250237653.9536467): 0 * [misc]none: (-8.50153961563616e-107 -4.8916602066052874e-26 -1.366939284848654e+161 -1.748959213197903e-296 4.732690630561365e-244): 0 * [misc]none: (7.108611529458249e-125 9.447848277803998e-214 -4.565481439630742e+47 114096295784294.11 9.198726189837946e+117): 0 * [misc]none: (1.078707362325158e+273 1.0052997374236907e+95 -2.4263578912357998e+175 3.319487012053256e-266 4.217054502906045e+236): 2 * [misc]none: (-7.736282106526743e-241 -1.1214178609242922e-117 6.980732986025448e-303 4.2936456292039216e-20 3.94689846377271e+37): 0 * [misc]none: (-655317954642589.4 -1.1907091366388911e+288 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0 * [misc]none: (10796143.618751174 -4.076620582450341e-33 -1.1746540066638992e+92 -1.4093175768087903e-241 1.1839577582963604e+116): 0 * [misc]none: (-3.4161227463738495e+111 -1.200556620841208e+48 -8.452224236270203e-247 2.7921439863513277e+163 2.3039998954419237e-259): 0 * [misc]none: (-9.610193558184508e-183 -2.04232362464253e-80 -1.4415268502595641e-182 -1.0378383775826702e+106 -2.098198722577971e-82): 0 * [misc]none: (-1.2467776558698273e+90 4.9168630160225e-288 -8.852290448282612e+41 -1.0803027606302613e-91 -4.1485034402533176e-222): 0 * [misc]none: (6.70979198809255e+141 -2.2455234969830133e-264 -6.983962785097573e-51 -1.1852702155224395e+80 1.347719955281764e+173): 0 * [misc]none: (-1.9275409821238873e-193 1.8906023094224292e-70 -2.6769753179315348e-294 1.513923077673974e+123 3.690253807384945e-279): 0 * [misc]none: (-4.72783210390931e-179 -5.5845928261044e+41 2.3911248128943727e+19 -2.0087819690923217e-10 -7.503608348012301e-265): 0 * [misc]none: (1.0057595184171553e+162 7.868352285821392e+300 -1.114660942490626e-145 -9.110721693485485e+132 7.495630994124888e-24): 2 * [misc]none: (-1.1889589677171818e+228 1.2325892500421841e-119 -1.121741803515431e-99 1.568376481944387e+30 2.707507708506013e+247): 0 * [misc]none: (-1.4642239730255607e-106 -6.654484048551861e-143 -9.145779719126825e-170 1.007308686287199e+219 2.8128021055302423e+21): 0 * [misc]none: (9.371611647128792e+268 1.8040139410433717e+155 2.6026167233480505e-297 6.339802259097543e-308 -6.817285559732932e+77): 2 * [misc]none: (2.4322104169090144e+59 -5.64562115887296e-67 -6.919431530853886e-241 -1.2689719538121072e+194 1.1837557328181415e+218): 0 * [misc]none: (-8.452642488891752e+62 -5.782126675406556e-263 -6.789706391572034e-29 1.2833800076666654e+297 1.2024322189636123e+83): 0 * [misc]none: (-4.8855219926198957e+17 8.106341486836811e+203 -5.528358203290494e-112 -7.042832557760676e+146 -9.275039024754554e+28): 0 * [misc]none: (-2.6534900180165028e+82 7.300737946651316e-69 49928.85984149186 4.608201714407897e+250 -2.3696248359511998e-194): 0 * [misc]none: (-1.6097678576273684e-29 1.4618822012959264e-282 5.065009120000935e+239 -5.868809874050207e+162 -2.359963233287965e+265): 0 * [misc]none: (-7.882744902928847e+105 -4.195136710551189e-297 -372361850817067.44 1.317370234131041e+243 -2.575712577691985e-232): 0 * [misc]none: (-1.2783375370568742e-241 9.710113551224311e+233 -4.504251025778505e+264 -4.772248156277259e-190 9.11291987109131e+60): 0 * [misc]none: (-1.2097021225541101e+49 7.692782005574916e+62 3.6221576629705254e-186 -4.599290808288309e-229 7.407501352069606e+197): 0 * [misc]none: (8.584915269696552e-75 5.867229113210459e-205 1.5847754196219073e-22 -9.919696253482455e-86 4.691190297816688e-66): 0 * [misc]none: (-4.9900440527933084e-58 4.466996329928429e-182 1.3127565364527686e+189 -3.5806187361628753e+251 3.0661019233819544e+189): 0 * [misc]none: (102931726085670.36 7.265224044771991e+168 -3.1803488474158015e-198 -3.7230195486767456e+202 -1.3431964691859523e+275): 0 * [misc]none: (4.8074975382703664e-256 -1.6043551988308188e-307 -1.204493419661556e-173 -2.580405250618422e-291 1.4133523127641337e+63): 0 * [misc]none: (9.790781234731489e-232 2.756871347418425e-214 -1.4806132674899328e-192 4.049120992551452e+267 -7.377419913430412e-140): 0 * [misc]none: (1.74812973482279e+219 3.7193291857424636e+191 6.193273592367267e-43 -1.8371560226511987e+243 2.6977709715290007e+287): 2 * [misc]none: (-1.5937710990828589e-288 -1.374478381442758e-239 -2.3776197510767022e+215 -3.6609109886014927e-214 7.645860870937547e+35): 0 * [misc]none: (-4.906911214776069e-48 -7.17424195134732e-70 3.4948457100278266e+74 -2.9269812380049197e+243 6.058870791013814e-129): 0 * [misc]none: (2.520431926876746e+89 5.378306808996145e+66 -4.150672040298496e-253 -1.2766097815001397e+125 -5.1677730221874754e-107): 0 * [misc]none: (-6.60836763026628e+215 6.984621633171347e-269 -7.486665465018262e-215 1.5637448761597387e-220 9.279685355440257e+94): 0 * [misc]none: (6.290509665714031e+264 3.9437442578940275e-28 1.5055992946807036e+100 3.7706992444410506e+70 2.888498031591123e-80): 2 * [misc]none: (1.0913092803094753e+57 -1.4066856249071938e+166 8667284524996.796 5.989718852076057e-22 1.5075048890969188e+274): 0 * [misc]none: (-43005.535297945375 -4.9850003411115104e+44 -1.6509120474285218e-225 -4.497226812316379e-23 -1.1880451513990447e-79): 0 * [misc]none: (-1.1835678237758717e-300 1.4054065643843607e+143 -5.227672580615102e-70 7.359906380350718e-191 1.3040864443249938e-110): 0 * [misc]none: (-2.297811002867429e+303 1.8302494867349786e-39 -6.1069970644870536e+265 4.197592694642222e+22 1.821753799857952e-142): 2 * [misc]none: (5.2458139891945694e+154 -4.0135072159247725e+29 1.0410193423706427e+117 3.532644417124185e-126 -8.768238609926879e+20): 0 * [misc]none: (1.4572701198617546e+35 -2.114090989525349e-257 1.0605849328606976e+17 4.635074616884763e+136 3.2413518799476666e+266): 0 * [misc]none: (-4.1778642749867076e+95 7.392698153850156e+231 1.0005989868956712e+97 5.3783857635125407e+135 3.442751886867014e-55): 2 * [misc]none: (2.3644283305363024e-83 3.9340975132726664e+287 5.2425466679918264e-219 1.0547624812292463e-145 4250237653.9536467): 0 * [misc]none: (-8.50153961563616e-107 -4.8916602066052874e-26 -1.366939284848654e+161 -1.748959213197903e-296 4.732690630561365e-244): 0 * [misc]none: (7.108611529458249e-125 9.447848277803998e-214 -4.565481439630742e+47 114096295784294.11 9.198726189837946e+117): 0 * [misc]none: (1.078707362325158e+273 1.0052997374236907e+95 -2.4263578912357998e+175 3.319487012053256e-266 4.217054502906045e+236): 2 * [misc]none: (-7.736282106526743e-241 -1.1214178609242922e-117 6.980732986025448e-303 4.2936456292039216e-20 3.94689846377271e+37): 0 * [misc]none: (-655317954642589.4 -1.1907091366388911e+288 568937.9683241895 -2.8537473047764535e+264 -8.768041250079899e+186): 0 * [misc]none: (3.497921457722617e-28 -9.44412833979788e-291 -1.6461152544114449e-13 -4.033078538958118e+228 3.4661781947574473e-174): 0 * [misc]none: (1.0749556482282616e+190 1.3022362512891203e+301 1.6138559527458008e-129 9.59713490648927e-79 2.5679653914894944e+44): 2 * [misc]none: (-4.0337231452941667e-286 -1.559009452307907e-97 3.649786347632848e-41 -1.0846396097202371e-299 1.6006318383540955e-158): 0 * [misc]none: (-5.4148381985889754e+200 -1.0206802772870221e+152 1.952264243778306e-263 -9.020752996011849e-177 -1.411295197436745e-164): 2 * [misc]none: (-1.9195946566262024e-295 -1.5106206885795175e-107 2.006607317631719e-226 9.725570899664205e+257 3.518645085640818e+44): 0 * [misc]none: (-2.5931746020885025e+28 2.3890698208301296e+174 -2.9139794528704084e-195 -3.435547063305358e+217 1.897680776087967e+200): 0 * [misc]none: (0.0008770234648074342 -3.000257314698498e+132 1.8714595161099368e+273 2.4654525054106353e-86 3.052393267206733e+305): 0 * [misc]none: Picked alt (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [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 (exp (* 2 (log (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 n) (* 1/2 m))) into (log (+ (* 1/2 n) (* 1/2 m))) * [misc]backup-simplify: Simplify (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) into (* 2 (log (+ (* 1/2 n) (* 1/2 m)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (* 1/2 n) (* 1/2 m))))) into (pow (+ (* 1/2 n) (* 1/2 m)) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 m) M)) into (log (- (* 1/2 m) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 m) M))) into (* 2 (log (- (* 1/2 m) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 m) M)))) into (pow (- (* 1/2 m) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (log (- (* 1/2 n) M)) into (log (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* 2 (log (- (* 1/2 n) M))) into (* 2 (log (- (* 1/2 n) M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (* 1/2 n) M)))) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (* 1/2 n) M)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (* 1/2 n) M))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 n) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (log (- M)) into (log (- M)) * [misc]backup-simplify: Simplify (* 2 (log (- M))) into (* 2 (log (- M))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- M)))) into (pow (- M) 2) * [misc]taylor: Taking taylor expansion of (pow (- M) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- M))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (* 2 (+ (log M) (log -1))) into (* 2 (+ (log M) (log -1))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log M) (log -1)))) into (exp (* 2 (+ (log M) (log -1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- (* 1/2 n) M) 1)))) 1) into (/ 1/2 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M)))) into (/ 1 (- (* 1/2 n) M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 1) 1)))) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (- M) 1)))) 1) into (/ -1/2 M) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/2 M)) (* 0 (log (- M)))) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- M)))) (+ (* (/ (pow (- (/ 1 M)) 1) 1)))) into (* -1 M) * [misc]taylor: Taking taylor expansion of (* -1 M) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log M)) (log -1)) into (+ (log M) (log -1)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log M) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log M) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (- (* 1/2 n) M) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 n) M) 1)))) 2) into (/ -1/8 (pow (- (* 1/2 n) M) 2)) * [misc]backup-simplify: Simplify (+ (* 2 (/ -1/8 (pow (- (* 1/2 n) M) 2))) (+ (* 0 (/ 1/2 (- (* 1/2 n) M))) (* 0 (log (- (* 1/2 n) M))))) into (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (* 1/2 n) M)))) (+ (* (/ (pow (/ 1 (- (* 1/2 n) M)) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow (- (* 1/2 n) M) 2)))) 1) 1)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (* n m))) (+ (* 1/4 (pow (* 1 (* 1 m)) 2)) (exp (* 2 (+ (log M) (log -1)))))) into (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m)))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) (log -1)) into (- (log -1) (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log M))) into (* 2 (- (log -1) (log M))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log M)))) into (exp (* 2 (- (log -1) (log M)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 1/2)) into (- (log 1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log n))) into (* 2 (- (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log n)))) into (exp (* 2 (- (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 1)) (pow 1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* (- (* 4 (/ 1 M))) (exp (* 2 (- (log 1/2) (log m)))))) into (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log 1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 n)) (/ 1 M))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log 1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) (exp (* 2 (- (log 1/2) (log m))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (* 4 (/ 1 M))) 0) (* (* 4 (/ 1 (pow M 2))) (exp (* 2 (- (log 1/2) (log m))))))) into (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log 1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log 1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log 1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log m))) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log 1/2) (log m))) into (* 2 (- (log 1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log m)))) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log 1/2) (log m)))) 1) into (exp (* 2 (- (log 1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log 1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log 1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (- (* 4 (/ 1 M))) 0) (* 0 (exp (* 2 (- (log 1/2) (log m))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log 1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log 1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log 1/2) (log (/ 1 m))))) into (exp (* 2 (- (log 1/2) (log (/ 1 m))))) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 n) (/ 1 m))) 2) into (* -1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log M)) 0) into (- (log M)) * [misc]backup-simplify: Simplify (* 2 (- (log M))) into (* -2 (log M)) * [misc]backup-simplify: Simplify (exp (* -2 (log M))) into (pow M -2) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1/2)) into (- (log -1/2) (log n)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log n))) into (* 2 (- (log -1/2) (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log n)))) into (exp (* 2 (- (log -1/2) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 1)) (pow -1/2 1)))) 1) into (- (/ 1 n) (* 2 (/ 1 M))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m)))) into (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 2 (/ 1 n)) (* 4 (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) (- (* 4 (/ 1 M)))) (* 0 2)) into (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M))) in M * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) M)) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (exp (* 2 (- (log -1/2) (log m)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 M) (* 1/2 (/ 1 n)))) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1/2)) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))))) (+ (* 0 (- (/ 1 n) (* 2 (/ 1 M)))) (* 0 (- (log -1/2) (log m))))) into (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow (- (* 2 (/ 1 n)) (* 4 (/ 1 M))) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (* M n))) (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2))))) 1) 1)))) into (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log -1/2) (log m)))) (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1/2) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) (* 4 (/ 1 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow n 2)) (* 4 (/ 1 (pow M 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow M 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log M))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log M)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (log M) into (log M) * [misc]backup-simplify: Simplify (* 2 (log M)) into (* 2 (log M)) * [misc]backup-simplify: Simplify (exp (* 2 (log M))) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow M 2))) into (/ 4 (pow M 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow M 2))) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow M 2))) 0) into (* 4 (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 M)) into (/ 4 M) * [misc]backup-simplify: Simplify (- (/ 4 M)) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 M)))) into (- (* 4 (/ 1 M))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) (* 4 (/ 1 (pow M 2)))) (+ (* 0 (- (* 4 (/ 1 M)))) (* 0 1))) into (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2))) in M * [misc]taylor: Taking taylor expansion of 4 in M * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (exp (* 2 (- (log -1/2) (log m)))) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1/2) (log m)))) in M * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1/2) (log m))) in M * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1/2) in M * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log m))) into (- (log -1/2) (log m)) * [misc]backup-simplify: Simplify (* 2 (- (log -1/2) (log m))) into (* 2 (- (log -1/2) (log m))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log m)))) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log -1/2) (log m)))) 1) into (exp (* 2 (- (log -1/2) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1/2) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2 (- (log -1/2) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1/2) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 2 (- (log -1/2) (log m)))) 0) (+ (* 0 (- (* 4 (/ 1 M)))) (* 0 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1/2) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1/2) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1/2) (log (/ 1 (- m)))))) into (exp (* 2 (- (log -1/2) (log (/ -1 m))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (expm1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (expm1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 2 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (log1p (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (log1p (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 3 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 4 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 5 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 6 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) * [enter]simplify: Simplifying (pow (cbrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 7 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * * * * [misc]progress: [ 8 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (- (/ (+ m n) 2) M) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 9 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 12 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 13 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [enter]simplify: Simplifying (cbrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * [exit]simplify: Simplified to (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) * * * * [misc]progress: [ 14 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (- (/ (+ m n) 2) M) 2) (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * [exit]simplify: Simplified to (* (pow (- (/ (+ n m) 2) M) 3) (pow (- (/ (+ n m) 2) M) 3)) * [exit]simplify: Simplified to (* (pow (- (/ (+ n m) 2) M) 3) (pow (- (/ (+ n m) 2) M) 3)) * * * * [misc]progress: [ 15 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * * * * [misc]progress: [ 16 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (+ (exp (* 2 (+ (log M) (log -1)))) (+ (* 1/4 (pow m 2)) (* 1/2 (* n m))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (fma m (fma n 1/2 (* m 1/4)) (* (* M -1) (* M -1))))) * * * * [misc]progress: [ 18 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (exp (* 2 (- (log 1/2) (log (/ 1 m)))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (* 1/2 m) (* 1/2 m) l))) * * * * [misc]progress: [ 19 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (exp (* 2 (- (log -1/2) (log (/ -1 m)))))) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (/ -1/2 (/ -1 m)) (/ -1/2 (/ -1 m)) l))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 2 * [misc]none: All alts: 2 * [misc]none: Fresh alt: (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * [misc]none: Fresh alt: (λ (K m n M l) (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * [misc]none: Non-fresh alt: (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))): 0 * [misc]none: (λ (K m n M l) (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))): 1 * [misc]none: Best fresh alt per point * [misc]none: (-5.04517621812085e-211 7.201480790740299e-179 -1.0528348834850839e-171 -2.0234906773772564e-271 3.868576405210662e+205): 0 * [misc]none: (5.446873598073321e+162 1.4663998973627134e-238 -1.3149948093638181e+216 2.1339195959378713e+37 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-1.0846396097202371e-299 1.6006318383540955e-158): 0 * [misc]none: (-5.4148381985889754e+200 -1.0206802772870221e+152 1.952264243778306e-263 -9.020752996011849e-177 -1.411295197436745e-164): 2 * [misc]none: (-1.9195946566262024e-295 -1.5106206885795175e-107 2.006607317631719e-226 9.725570899664205e+257 3.518645085640818e+44): 0 * [misc]none: (-2.5931746020885025e+28 2.3890698208301296e+174 -2.9139794528704084e-195 -3.435547063305358e+217 1.897680776087967e+200): 0 * [misc]none: (0.0008770234648074342 -3.000257314698498e+132 1.8714595161099368e+273 2.4654525054106353e-86 3.052393267206733e+305): 0 * [misc]none: Picked alt (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in M * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (* (cbrt (+ m n)) (cbrt (+ m n))) in M * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in M * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in M * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in M * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ n m) 1/3) (pow (+ n m) 1/3)) into (pow (pow (+ n m) 2) 1/3) * [misc]backup-simplify: Simplify (* K (pow (pow (+ n m) 2) 1/3)) into (* (pow (pow (+ n m) 2) 1/3) K) * [misc]backup-simplify: Simplify (* (* (pow (pow (+ n m) 2) 1/3) K) (pow (+ n m) 1/3)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ n m) K)) 0) into (+ (* 1/2 (* m K)) (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (cos (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) into (sin (+ (* 1/2 (* m K)) (* 1/2 (* n K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in n * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (* (cbrt (+ m n)) (cbrt (+ m n))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow m 1/3) (pow m 1/3)) into (pow (pow m 2) 1/3) * [misc]backup-simplify: Simplify (* K (pow (pow m 2) 1/3)) into (* K (pow (pow m 2) 1/3)) * [misc]backup-simplify: Simplify (* (* K (pow (pow m 2) 1/3)) (pow m 1/3)) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in m * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (* (cbrt (+ m n)) (cbrt (+ m n))) in m * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow n 1/3) (pow n 1/3)) into (pow (pow n 2) 1/3) * [misc]backup-simplify: Simplify (* K (pow (pow n 2) 1/3)) into (* (pow (pow n 2) 1/3) K) * [misc]backup-simplify: Simplify (* (* (pow (pow n 2) 1/3) K) (pow n 1/3)) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* n K)) (- M)) into (- (* 1/2 (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* n K)) M)) into (cos (- (* 1/2 (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* n K)) M)) into (sin (- (* 1/2 (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in K * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ m n)) (cbrt (+ m n))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ n m) 1/3) (pow (+ n m) 1/3)) into (pow (pow (+ n m) 2) 1/3) * [misc]backup-simplify: Simplify (* 0 (pow (pow (+ n m) 2) 1/3)) into 0 * [misc]backup-simplify: Simplify (* 0 (pow (+ n m) 1/3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ n m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ n m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ n m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ n m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ n m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ n m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ n m) 1/3) 0) (* 0 (pow (+ n m) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (pow (+ n m) 2) 1/3))) into (pow (pow (+ n m) 2) 1/3) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (pow (pow (+ n m) 2) 1/3) (pow (+ n m) 1/3))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) in K * [misc]taylor: Taking taylor expansion of (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ m n)) (cbrt (+ m n))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in K * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (log (+ n m)) into (log (+ n m)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ n m))) into (* 1/3 (log (+ n m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ n m)))) into (pow (+ n m) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ n m) 1/3) (pow (+ n m) 1/3)) into (pow (pow (+ n m) 2) 1/3) * [misc]backup-simplify: Simplify (* 0 (pow (pow (+ n m) 2) 1/3)) into 0 * [misc]backup-simplify: Simplify (* 0 (pow (+ n m) 1/3)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ n m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ n m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ n m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ n m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ n m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ n m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ n m) 1/3) 0) (* 0 (pow (+ n m) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (pow (+ n m) 2) 1/3))) into (pow (pow (+ n m) 2) 1/3) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (pow (pow (+ n m) 2) 1/3) (pow (+ n m) 1/3))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ n m)) 0) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 1) 1))) into (+ (* 1/2 n) (* 1/2 m)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 n) (* 1/2 m))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))))) into (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) m)) (* 1/2 (* (sin (- M)) n))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) m) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [misc]taylor: Taking taylor expansion of (sin (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (sin (- M)) n))) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 n) (* 1/2 m)) 2) 2)) 0) into (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/8 (pow m 2)) (+ (* 1/8 (pow n 2)) (* 1/4 (* n m)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ n m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ n m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ n m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ n m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ n m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ n m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ n m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ n m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ n m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ n m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ n m) 1/3) 0) (+ (* 0 0) (* 0 (pow (+ n m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (pow (+ n m) 2) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (pow (pow (+ n m) 2) 1/3) 0) (* 0 (pow (+ n m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 n) (* 1/2 m))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) 0) into (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow m 2))) (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (cos (- M)) (* n m))) (* 1/8 (* (cos (- M)) (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (* (cos (- M)) (* n m))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (* n m)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (* n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (cos (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in m * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in m * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) 0) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ (/ 1 n) (/ 1 m)) 1/3) (pow (+ (/ 1 n) (/ 1 m)) 1/3)) into (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) * [misc]backup-simplify: Simplify (* (/ 1 K) (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) into (* (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) (/ 1 K)) * [misc]backup-simplify: Simplify (* (* (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) (/ 1 K)) (pow (+ (/ 1 n) (/ 1 m)) 1/3)) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) into (cos (- (* 1/2 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K)) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow n -1/3) (pow n -1/3)) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (* (/ 1 K) (pow (/ 1 (pow n 2)) 1/3)) into (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 K)) * [misc]backup-simplify: Simplify (* (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 K)) (pow n -1/3)) into (/ 1 (* n K)) * [misc]backup-simplify: Simplify (/ (/ 1 (* n K)) 2) into (/ 1/2 (* n K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* n K)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* n K))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* n K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* n K))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* n K))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* n K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow m -1/3) (pow m -1/3)) into (pow (/ 1 (pow m 2)) 1/3) * [misc]backup-simplify: Simplify (* (/ 1 K) (pow (/ 1 (pow m 2)) 1/3)) into (* (/ 1 K) (pow (/ 1 (pow m 2)) 1/3)) * [misc]backup-simplify: Simplify (* (* (/ 1 K) (pow (/ 1 (pow m 2)) 1/3)) (pow m -1/3)) into (/ 1 (* K m)) * [misc]backup-simplify: Simplify (/ (/ 1 (* K m)) 2) into (/ 1/2 (* K m)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* K m)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* K m))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K m))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ (/ 1 n) (/ 1 m)) 1/3) (pow (+ (/ 1 n) (/ 1 m)) 1/3)) into (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) * [misc]backup-simplify: Simplify (* 1 (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) into (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) (pow (+ (/ 1 n) (/ 1 m)) 1/3)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) into (cos (- (* 1/2 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K)) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (log (+ (/ 1 n) (/ 1 m))) into (log (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) into (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) into (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (+ (/ 1 n) (/ 1 m)) 1/3) (pow (+ (/ 1 n) (/ 1 m)) 1/3)) into (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) * [misc]backup-simplify: Simplify (* 1 (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) into (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) (pow (+ (/ 1 n) (/ 1 m)) 1/3)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 n) (/ 1 m))) 0) into (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 m))) * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 K) (* (cbrt (+ (/ 1 m) (/ 1 n))) (cbrt (+ (/ 1 m) (/ 1 n))))) (cbrt (+ (/ 1 m) (/ 1 n)))) 2) (/ 1 M))) into (cos (- (* 1/2 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K)) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K)) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K)) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) K) in m * [misc]taylor: Taking taylor expansion of (pow (cbrt (+ (/ 1 n) (/ 1 m))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (+ (/ 1 n) (/ 1 m)))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 m)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]backup-simplify: Simplify (log (pow m -1/3)) into (log (pow m -1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow m -1/3))) into (* 3 (log (pow m -1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow m -1/3)))) into (pow (pow m -1/3) 3) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (pow (pow m -1/3) 3) K) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (* m K))) into (/ 1/2 (* m K)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* m K)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 1) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (* m K))) into (/ 1/2 (* m K)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* m K)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 1) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3)))) 1)) (pow (pow m -1/3) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (* 0 (log (pow m -1/3)))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow m -1/3)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 (* n m)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* n m)) K) (+ (* (/ 1 (* m K)) (/ 0 K)))) into (/ 1 (* n (* m K))) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (* n (* m K)))) (* 0 (/ 1 (* m K)))) into (* 1/2 (/ 1 (* n (* m K)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (* n (* m K)))) 0) into (* 1/2 (/ 1 (* n (* m K)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 (/ 1 (* n (* m K)))) 1) 1))) into (* 1/2 (/ 1 (* n (* m K)))) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* 1/2 (/ 1 (* n (* m K))))) (* 0 0)) into (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m))))) into (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m)))))) into (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m)))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K (* n m))) in n * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (* m K))) into (/ 1/2 (* m K)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (* m K)) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* m K))) (/ 1 M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (* K (* n m)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (* n m) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 1) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) into (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) * [misc]backup-simplify: Simplify (* 0 m) into 0 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 m)) into m * [misc]backup-simplify: Simplify (+ (* K m) (* 0 0)) into (* K m) * [misc]backup-simplify: Simplify (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* K m)) into (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m K)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* m 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* m K)) (/ 0 (* m K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* m K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (+ (* 0 m) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* K m)) (+ (* (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m K)) (/ 0 (* K m))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) (* m K)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* m 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* m K)) (/ 0 (* m K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* m K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (/ 1 (* m K))) (/ 1 M))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (/ 1 (/ 1 M)))) into (cos (- (* 1/2 (* m K)) M)) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in M * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) (pow (- (+ (/ 1 n) (/ 1 m))) 1/3)) into (pow (* (pow (+ (/ 1 n) (/ 1 m)) 2) (pow -1 2)) 1/3) * [misc]backup-simplify: Simplify (* (/ -1 K) (pow (* (pow (+ (/ 1 n) (/ 1 m)) 2) (pow -1 2)) 1/3)) into (* -1 (* (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) (/ 1 K))) * [misc]backup-simplify: Simplify (* (* -1 (* (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3) (/ 1 K))) (pow (- (+ (/ 1 n) (/ 1 m))) 1/3)) into (* -1 (* (/ (+ (/ 1 n) (/ 1 m)) K) (pow -1 1/3))) * [misc]backup-simplify: Simplify (/ (* -1 (* (/ (+ (/ 1 n) (/ 1 m)) K) (pow -1 1/3))) 2) into (* -1/2 (* (/ (+ (/ 1 n) (/ 1 m)) K) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in n * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (exp (* 1/3 (- (log -1) (log n))))) into (pow (exp (* 1/3 (- (log -1) (log n)))) 2) * [misc]backup-simplify: Simplify (* (/ -1 K) (pow (exp (* 1/3 (- (log -1) (log n)))) 2)) into (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) K)) * [misc]backup-simplify: Simplify (* (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) K)) (exp (* 1/3 (- (log -1) (log n))))) into (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)) * [misc]backup-simplify: Simplify (/ (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)) 2) into (* -1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in m * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (exp (* 1/3 (- (log -1) (log m))))) into (pow (exp (* 1/3 (- (log -1) (log m)))) 2) * [misc]backup-simplify: Simplify (* (/ -1 K) (pow (exp (* 1/3 (- (log -1) (log m)))) 2)) into (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 2) K)) * [misc]backup-simplify: Simplify (* (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 2) K)) (exp (* 1/3 (- (log -1) (log m))))) into (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)) * [misc]backup-simplify: Simplify (/ (* -1 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)) 2) into (* -1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log m)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) (pow (- (+ (/ 1 n) (/ 1 m))) 1/3)) into (pow (* (pow (+ (/ 1 n) (/ 1 m)) 2) (pow -1 2)) 1/3) * [misc]backup-simplify: Simplify (* -1 (pow (* (pow (+ (/ 1 n) (/ 1 m)) 2) (pow -1 2)) 1/3)) into (* -1 (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) * [misc]backup-simplify: Simplify (* (* -1 (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) (pow (- (+ (/ 1 n) (/ 1 m))) 1/3)) into (* -1 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) * [misc]backup-simplify: Simplify (/ (* -1 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) 2) into (* -1/2 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) 0) into (- (+ (* 1/2 (* (/ 1 n) (pow -1 1/3))) (* 1/2 (* (pow -1 1/3) (/ 1 m))))) * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 n) (/ 1 m)))) into (log (- (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) into (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) into (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) (pow (- (+ (/ 1 n) (/ 1 m))) 1/3)) into (pow (* (pow (+ (/ 1 n) (/ 1 m)) 2) (pow -1 2)) 1/3) * [misc]backup-simplify: Simplify (* -1 (pow (* (pow (+ (/ 1 n) (/ 1 m)) 2) (pow -1 2)) 1/3)) into (* -1 (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) * [misc]backup-simplify: Simplify (* (* -1 (pow (pow (+ (/ 1 n) (/ 1 m)) 2) 1/3)) (pow (- (+ (/ 1 n) (/ 1 m))) 1/3)) into (* -1 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) * [misc]backup-simplify: Simplify (/ (* -1 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) 2) into (* -1/2 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (* (+ (/ 1 n) (/ 1 m)) (pow -1 1/3))) 0) into (- (+ (* 1/2 (* (/ 1 n) (pow -1 1/3))) (* 1/2 (* (pow -1 1/3) (/ 1 m))))) * [misc]backup-simplify: Simplify (cos (- (/ (* (* (/ 1 (- K)) (* (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))))) (cbrt (+ (/ 1 (- m)) (/ 1 (- n))))) 2) (/ 1 (- M)))) into (cos (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) K)))) in m * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) K))) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) K)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) K) in m * [misc]taylor: Taking taylor expansion of (pow (cbrt (- (+ (/ 1 n) (/ 1 m)))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (- (+ (/ 1 n) (/ 1 m))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (- (+ (/ 1 n) (/ 1 m)))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (- (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 m))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 m))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log m))))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log -1) (log m)))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log m))) K) into (/ (exp (- (log -1) (log m))) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (- (log -1) (log m))) K)) into (* 1/2 (/ (exp (- (log -1) (log m))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (- (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 1) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (- (log -1) (log m))) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (log -1) (log m))) K) in n * [misc]taylor: Taking taylor expansion of (exp (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log m))) K) into (/ (exp (- (log -1) (log m))) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (- (log -1) (log m))) K)) into (* 1/2 (/ (exp (- (log -1) (log m))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (- (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 1) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) in M * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (- (log -1) (log m))) K)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (log -1) (log m))) K) in M * [misc]taylor: Taking taylor expansion of (exp (- (log -1) (log m))) in M * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in M * [misc]taylor: Taking taylor expansion of (log -1) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log m))) K) into (/ (exp (- (log -1) (log m))) K) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n))) 1)) (pow (exp (* 1/3 (- (log -1) (log m)))) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (* 0 (* 1/3 (- (log -1) (log m))))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (log -1) (log m))) n) * [misc]backup-simplify: Simplify (- (/ (/ (exp (- (log -1) (log m))) n) K) (+ (* (/ (exp (- (log -1) (log m))) K) (/ 0 K)))) into (/ (exp (- (log -1) (log m))) (* n K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (log -1) (log m))) (* n K))) (* 0 (/ (exp (- (log -1) (log m))) K))) into (* 1/2 (/ (exp (- (log -1) (log m))) (* n K))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K)))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K))))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K)))) 1) 1))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K)))) * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) (- (* 1/2 (/ (exp (- (log -1) (log m))) (* n K))))) (* 0 0)) into (- (* 1/2 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K)))) * [misc]backup-simplify: Simplify (- (- (* 1/2 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K))))) into (* 1/2 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K)))) into (* 1/2 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) (* n K)) in n * [misc]taylor: Taking taylor expansion of (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) in n * [misc]taylor: Taking taylor expansion of (exp (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (- (log -1) (log m))) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (log -1) (log m))) K) in n * [misc]taylor: Taking taylor expansion of (exp (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log m))) into (exp (- (log -1) (log m))) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log m))) K) into (/ (exp (- (log -1) (log m))) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (- (log -1) (log m))) K)) into (* 1/2 (/ (exp (- (log -1) (log m))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) into (- (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (- (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))) * [misc]backup-simplify: Simplify (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) into (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]taylor: Taking taylor expansion of (* n K) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 1) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) into (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) into (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) K) into (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) K) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (exp (- (log -1) (log m))) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (exp (- (log -1) (log m))) K))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log -1) (log m))) 0) (* 0 (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (* (exp (- (log -1) (log m))) (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K))))) K))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (exp (- (log -1) (log m))) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (exp (- (log -1) (log m))) K))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 M) (* 1/2 (/ (exp (- (log -1) (log m))) K)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (/ 1 (/ 1 (- M))) (* 1/2 (/ (exp (- (log -1) (log (/ 1 (- m))))) (/ 1 (- K)))))) into (cos (- (* 1/2 (* (exp (- (log -1) (log (/ -1 m)))) K)) M)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ m n)) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (pow n 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log n))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (pow n 1/3) into (pow n 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log n))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow n -2/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log n)))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log n)) 0) into (- (* 5 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log n)))) into (* -5/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log n))) into (pow n -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow n -5/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow (* 1 m) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 m)) (pow n 1/3))) into (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) m))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow m 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (pow m -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log m))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log m)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* -1/3 (log m)) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]backup-simplify: Simplify (pow m -1/3) into (pow m -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log m))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 m) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 m) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 m) -1/3) into (pow (/ 1 m) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- m)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 m))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ m n)) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (pow n 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log n))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (pow n 1/3) into (pow n 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log n))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow n -2/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log n)))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log n)) 0) into (- (* 5 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log n)))) into (* -5/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log n))) into (pow n -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow n -5/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow (* 1 m) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 m)) (pow n 1/3))) into (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) m))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow m 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (pow m -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log m))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log m)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* -1/3 (log m)) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]backup-simplify: Simplify (pow m -1/3) into (pow m -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log m))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 m) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 m) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 m) -1/3) into (pow (/ 1 m) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- m)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 m))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ m n)) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in n * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* 1/3 (log m)) into (* 1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log m))) into (pow m 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ m n)) in m * [misc]taylor: Rewrote expression to (pow (+ m n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ m n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ m n))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ m n)) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (pow n 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log n))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) * [misc]backup-simplify: Simplify (pow n 1/3) into (pow n 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log n))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow n -2/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log n)))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log n)) 0) into (- (* 5 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log n)))) into (* -5/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log n))) into (pow n -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow n -5/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow (* 1 m) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 m)) (pow n 1/3))) into (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) m))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow m 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 m) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log m))) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]taylor: Taking taylor expansion of (pow m -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log m))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log m)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (* -1/3 (log m)) into (* -1/3 (log m)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log m))) into (pow m -1/3) * [misc]backup-simplify: Simplify (pow m -1/3) into (pow m -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log m))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) 0) into (- (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log m))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 m) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 m) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 m)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (log (/ 1 m)) into (log (/ 1 m)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 m))) into (* 1/3 (log (/ 1 m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 m)))) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 m) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 m) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 m) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 m) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 m) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 m) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 m) 1/3)) into (pow (/ 1 m) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 m) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 m) -1/3) into (pow (/ 1 m) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in (m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- m)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- m)) (/ 1 (- n))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log m)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log m)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log -1)) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log m)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log m)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log m)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log m))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log m)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (- (log m)) into (- (log m)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log m))) into (- (log -1) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log m))) into (* 1/3 (- (log -1) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log m)))) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log m)))) 1) into (exp (* 1/3 (- (log -1) (log m)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log m)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow m 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow m 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow m 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log m)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- m)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 m))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (expm1 (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (expm1 (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 2 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (log1p (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (log1p (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 3 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (* (sin (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 4 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (* (sin (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (sin (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 5 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (cos M)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) * [enter]simplify: Simplifying (* (sin (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2)) (sin M)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (sin M) (sin (* (/ K 2) (+ m n)))) * [exit]simplify: Simplified to (* (sin M) (sin (* (/ K 2) (+ m n)))) * * * * [misc]progress: [ 6 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (log (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 8 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (exp (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 9 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) (cbrt (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- (* (/ K 2) (+ m n)) M))) (cbrt (cos (- (* (/ K 2) (+ m n)) M)))) * [exit]simplify: Simplified to (* (cbrt (cos (- (* (/ K 2) (+ m n)) M))) (cbrt (cos (- (* (/ K 2) (+ m n)) M)))) * [enter]simplify: Simplifying (cbrt (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (cbrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 10 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * [exit]simplify: Simplified to (pow (cos (- (* (+ m n) (/ K 2)) M)) 3) * * * * [misc]progress: [ 11 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [enter]simplify: Simplifying (sqrt (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * [exit]simplify: Simplified to (sqrt (cos (- (* (+ m n) (/ K 2)) M))) * * * * [misc]progress: [ 12 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (+ n m))) * [exit]simplify: Simplified to (expm1 (cbrt (+ n m))) * * * * [misc]progress: [ 14 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (cbrt (+ n m))) * [exit]simplify: Simplified to (log1p (cbrt (+ n m))) * * * * [misc]progress: [ 15 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (+ n m))) * [exit]simplify: Simplified to (log (cbrt (+ n m))) * * * * [misc]progress: [ 18 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * * * * [misc]progress: [ 19 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ m n)) (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * * * * [misc]progress: [ 20 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * * * * [misc]progress: [ 21 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n m)) * [exit]simplify: Simplified to (cbrt (+ n m)) * * * * [misc]progress: [ 22 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow m 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (fma (* n n) n (pow m 3))) * [exit]simplify: Simplified to (cbrt (fma (* n n) n (pow m 3))) * [enter]simplify: Simplifying (cbrt (+ (* m m) (- (* n n) (* m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (fma m (- m n) (* n n))) * [exit]simplify: Simplified to (cbrt (fma m (- m n) (* n n))) * * * * [misc]progress: [ 23 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* m m) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) (- m n))) * [exit]simplify: Simplified to (cbrt (* (+ m n) (- m n))) * [enter]simplify: Simplifying (cbrt (- m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- m n)) * [exit]simplify: Simplified to (cbrt (- m n)) * * * * [misc]progress: [ 24 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ m n))) (cbrt (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n m))) (cbrt (cbrt (+ n m)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n m))) (cbrt (cbrt (+ n m)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * * * * [misc]progress: [ 25 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ m n)) (cbrt (+ m n))) (cbrt (+ m n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ n m) * [exit]simplify: Simplified to (+ n m) * * * * [misc]progress: [ 26 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [enter]simplify: Simplifying (sqrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * * * * [misc]progress: [ 27 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (+ n m))) * [exit]simplify: Simplified to (expm1 (cbrt (+ n m))) * * * * [misc]progress: [ 29 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (cbrt (+ n m))) * [exit]simplify: Simplified to (log1p (cbrt (+ n m))) * * * * [misc]progress: [ 30 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (+ n m))) * [exit]simplify: Simplified to (log (cbrt (+ n m))) * * * * [misc]progress: [ 33 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * * * * [misc]progress: [ 34 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ m n)) (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * * * * [misc]progress: [ 35 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * * * * [misc]progress: [ 36 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n m)) * [exit]simplify: Simplified to (cbrt (+ n m)) * * * * [misc]progress: [ 37 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow m 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (fma (* n n) n (pow m 3))) * [exit]simplify: Simplified to (cbrt (fma (* n n) n (pow m 3))) * [enter]simplify: Simplifying (cbrt (+ (* m m) (- (* n n) (* m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (fma m (- m n) (* n n))) * [exit]simplify: Simplified to (cbrt (fma m (- m n) (* n n))) * * * * [misc]progress: [ 38 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* m m) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) (- m n))) * [exit]simplify: Simplified to (cbrt (* (+ m n) (- m n))) * [enter]simplify: Simplifying (cbrt (- m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- m n)) * [exit]simplify: Simplified to (cbrt (- m n)) * * * * [misc]progress: [ 39 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ m n))) (cbrt (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n m))) (cbrt (cbrt (+ n m)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n m))) (cbrt (cbrt (+ n m)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * * * * [misc]progress: [ 40 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ m n)) (cbrt (+ m n))) (cbrt (+ m n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ n m) * [exit]simplify: Simplified to (+ n m) * * * * [misc]progress: [ 41 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [enter]simplify: Simplifying (sqrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * * * * [misc]progress: [ 42 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (+ n m))) * [exit]simplify: Simplified to (expm1 (cbrt (+ n m))) * * * * [misc]progress: [ 44 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (cbrt (+ n m))) * [exit]simplify: Simplified to (log1p (cbrt (+ n m))) * * * * [misc]progress: [ 45 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (+ n m))) * [exit]simplify: Simplified to (log (cbrt (+ n m))) * * * * [misc]progress: [ 48 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * [exit]simplify: Simplified to (exp (cbrt (+ n m))) * * * * [misc]progress: [ 49 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ m n)) (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n m)) (cbrt (+ n m)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * * * * [misc]progress: [ 50 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [enter]simplify: Simplifying (cbrt (sqrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * [exit]simplify: Simplified to (cbrt (sqrt (+ n m))) * * * * [misc]progress: [ 51 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n m)) * [exit]simplify: Simplified to (cbrt (+ n m)) * * * * [misc]progress: [ 52 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow m 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (fma (* n n) n (pow m 3))) * [exit]simplify: Simplified to (cbrt (fma (* n n) n (pow m 3))) * [enter]simplify: Simplifying (cbrt (+ (* m m) (- (* n n) (* m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (fma m (- m n) (* n n))) * [exit]simplify: Simplified to (cbrt (fma m (- m n) (* n n))) * * * * [misc]progress: [ 53 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* m m) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) (- m n))) * [exit]simplify: Simplified to (cbrt (* (+ m n) (- m n))) * [enter]simplify: Simplifying (cbrt (- m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- m n)) * [exit]simplify: Simplified to (cbrt (- m n)) * * * * [misc]progress: [ 54 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ m n))) (cbrt (cbrt (+ m n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n m))) (cbrt (cbrt (+ n m)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n m))) (cbrt (cbrt (+ n m)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * [exit]simplify: Simplified to (cbrt (cbrt (+ n m))) * * * * [misc]progress: [ 55 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ m n)) (cbrt (+ m n))) (cbrt (+ m n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ n m) * [exit]simplify: Simplified to (+ n m) * * * * [misc]progress: [ 56 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [enter]simplify: Simplifying (sqrt (cbrt (+ m n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * [exit]simplify: Simplified to (sqrt (cbrt (+ n m))) * * * * [misc]progress: [ 57 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) * * * * [misc]progress: [ 59 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (* m K)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* 1/2 K) m (- M))) (exp (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 60 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (* 1/2 (* (exp (- (log -1) (log (/ -1 m)))) K)) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* 1 m) (* 1/2 K) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 61 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) m))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow m 2))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) (cos (fma (/ (* (cbrt (+ m n)) (cbrt (+ m n))) (/ 2 K)) (fma 1/3 (* (cbrt (/ (/ 1 n) n)) m) (- (cbrt n) (* (* (* 1/9 m) m) (cbrt (/ 1 (pow n 5)))))) (- M)))) * * * * [misc]progress: [ 62 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (pow (/ 1 m) -1/3)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (* (cbrt (+ m n)) (cbrt (+ m n))) (/ (/ 2 K) (pow (/ 1 m) -1/3))) M)) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 63 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (exp (* 1/3 (- (log -1) (log (/ -1 m)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (* (cbrt (+ m n)) (cbrt (+ m n))) (/ (/ 2 K) (pow (exp 1/3) (log m)))) M)) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 64 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) m))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow m 2)))))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) (cos (- (/ (fma (cbrt (+ m n)) (fma (* (cbrt (/ (/ 1 n) n)) 1/3) m (cbrt n)) (* (* (- 1/9) (cbrt (/ 1 (pow n 5)))) (* (* m m) (cbrt (+ m n))))) (/ 2 (* K (cbrt (+ m n))))) M))) * * * * [misc]progress: [ 65 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (pow (/ 1 m) -1/3))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (* (pow (/ 1 m) -1/3) (cbrt (+ m n))) (/ (/ 2 K) (cbrt (+ m n)))) M)) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 66 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (exp (* 1/3 (- (log -1) (log (/ -1 m))))))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (* (cbrt (+ m n)) (pow (exp 1/3) (log m))) (/ (/ 2 K) (cbrt (+ m n)))) M)) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 67 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) m))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow m 2)))) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (exp (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))))) (cos (- (/ (- (fma (* (cbrt (/ 1 (* n n))) 1/3) m (cbrt n)) (* (* m (* m 1/9)) (cbrt (/ 1 (pow n 5))))) (/ (/ 2 (cbrt (+ n m))) (* K (cbrt (+ n m))))) M))) * * * * [misc]progress: [ 68 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (pow (/ 1 m) -1/3) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (* (cbrt (+ m n)) (cbrt (+ m n))) (/ (/ 2 K) (pow (/ 1 m) -1/3))) M)) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 69 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (/ (* (* K (* (exp (* 1/3 (- (log -1) (log (/ -1 m))))) (cbrt (+ m n)))) (cbrt (+ m n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (/ (cos (- (/ (* (pow (exp 1/3) (log m)) (cbrt (+ m n))) (/ (/ 2 K) (cbrt (+ m n)))) M)) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 3 * [misc]none: All alts: 3 * [misc]none: Fresh alt: (λ (K m n M l) (/ (cos (- (/ (* (cbrt (+ m n)) (cbrt (+ m n))) (/ (/ 2 K) (pow (exp 1/3) (log m)))) M)) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n))))))) * [misc]none: Fresh alt: (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (exp (log (cbrt (+ m n))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * [misc]none: Fresh alt: (λ (K m n M l) (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * [misc]none: Non-fresh alt: (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (K m n M l) (/ (cos (- (/ (* (cbrt (+ m n)) (cbrt (+ m n))) (/ (/ 2 K) (pow (exp 1/3) (log m)))) M)) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n))))))): 0 * [misc]none: (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (exp (log (cbrt (+ m n))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))): 1 * [misc]none: (λ (K m n M l) (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))): 2 * [misc]none: Best fresh alt per point * [misc]none: (-5.04517621812085e-211 7.201480790740299e-179 -1.0528348834850839e-171 -2.0234906773772564e-271 3.868576405210662e+205): 0 * [misc]none: (5.446873598073321e+162 1.4663998973627134e-238 -1.3149948093638181e+216 2.1339195959378713e+37 -1.5922602902707721e+211): 0 * [misc]none: (4.148782755357247e-69 -5.9261354001783495e+271 8.996958417786809e-18 1.0149726196731202e+215 1.0198105470613371e+285): 2 * [misc]none: (-5.2271024692485736e+85 8.616527569794918e+261 1.5351760868919323e-228 2.492291349381809e-19 -4.875555867905252e-199): 0 * [misc]none: (-2.8092386584898457e-126 4.956874447675854e+44 -0.0008637352641276258 3.9527646011654944e+223 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1.8116687320710734e+212 7.399244553493409e+176 1.9801172272883237e+51): 0 * [misc]none: (-5.3804227524895966e+272 -1.6262140937914424e+259 4.746403017367404e+292 -243504670670049.88 1.058485305049321e-236): 0 * [misc]none: (1.4958950327342934e+40 -5.6371087632408715e+230 9.548141814318101e+61 8.472112984208858e+264 -5.6566069495104535e-28): 2 * [misc]none: (3.542383641384247e+32 5.984046261163795e-137 3.821394955430366e-65 -4.000738692973085e-56 -1.744016021183931e-146): 0 * [misc]none: (-3.075763788296428e+80 6.216416123989873e-205 -2.1211816305410756e-51 35132951587276764.0 1.5612009751463173e-99): 0 * [misc]none: (-1.0956137616687424e+167 6.341785155684271e+19 -1.1376431003759184e+61 7.719189018575495e+71 1.0375909582941405e+176): 0 * [misc]none: (-5.9414456573203e-112 -3.1444471564655386e+68 -6.579336503804724e-137 -4.201687332453176e+294 -4.188640541099123e-240): 2 * [misc]none: (1.8269212298308998e+214 1789977963981.046 -1.7899154283931006e-62 1.6281717766697912e+39 3.5243641367880456e+86): 0 * [misc]none: (4.344802098601123e-298 4.508329239962989e+257 -1.211264682641895e-292 1.0495684746531957e+167 2.721003254105153e-81): 0 * [misc]none: (-3.0671153252781823e-63 -7.74362334743424e+32 -2.2376851712564295e-118 1.64239269831532e+149 -1.576948173228613e+33): 2 * [misc]none: (-9.827696191097834e-18 -1.3343140776153144e-304 -9.906575581428813e+195 7.10957194421701e+200 -4.7756557550151386e+160): 2 * [misc]none: (2.4256946179069016e+78 6.207394963032113e+30 -7.218692088264328e+54 8.781920275794267e+61 3.5618749791650757e+87): 0 * [misc]none: (4.9372470656494625e-201 1.4446355009900792e+23 -3.5082856951249954e-122 9.917487178181935e-54 -7.01049497494046e-138): 0 * [misc]none: (3.841494064694043e+276 3.642806409692576e+70 -3.326243684234595e+241 -7.587678445119084e+247 1.518078533135906e+61): 0 * [misc]none: (1.5052438492777668e+214 1.5460201380138582e-108 6.354924490516637e-174 1.1935837539207151e+36 -1.6901036379481523e+68): 0 * [misc]none: 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-4.772248156277259e-190 9.11291987109131e+60): 0 * [misc]none: (-1.2097021225541101e+49 7.692782005574916e+62 3.6221576629705254e-186 -4.599290808288309e-229 7.407501352069606e+197): 0 * [misc]none: (8.584915269696552e-75 5.867229113210459e-205 1.5847754196219073e-22 -9.919696253482455e-86 4.691190297816688e-66): 0 * [misc]none: (-4.9900440527933084e-58 4.466996329928429e-182 1.3127565364527686e+189 -3.5806187361628753e+251 3.0661019233819544e+189): 0 * [misc]none: (102931726085670.36 7.265224044771991e+168 -3.1803488474158015e-198 -3.7230195486767456e+202 -1.3431964691859523e+275): 0 * [misc]none: (4.8074975382703664e-256 -1.6043551988308188e-307 -1.204493419661556e-173 -2.580405250618422e-291 1.4133523127641337e+63): 2 * [misc]none: (9.790781234731489e-232 2.756871347418425e-214 -1.4806132674899328e-192 4.049120992551452e+267 -7.377419913430412e-140): 0 * [misc]none: (1.74812973482279e+219 3.7193291857424636e+191 6.193273592367267e-43 -1.8371560226511987e+243 2.6977709715290007e+287): 3 * [misc]none: (-1.5937710990828589e-288 -1.374478381442758e-239 -2.3776197510767022e+215 -3.6609109886014927e-214 7.645860870937547e+35): 2 * [misc]none: (-4.906911214776069e-48 -7.17424195134732e-70 3.4948457100278266e+74 -2.9269812380049197e+243 6.058870791013814e-129): 1 * [misc]none: (2.520431926876746e+89 5.378306808996145e+66 -4.150672040298496e-253 -1.2766097815001397e+125 -5.1677730221874754e-107): 0 * [misc]none: (-6.60836763026628e+215 6.984621633171347e-269 -7.486665465018262e-215 1.5637448761597387e-220 9.279685355440257e+94): 0 * [misc]none: (6.290509665714031e+264 3.9437442578940275e-28 1.5055992946807036e+100 3.7706992444410506e+70 2.888498031591123e-80): 3 * [misc]none: (1.0913092803094753e+57 -1.4066856249071938e+166 8667284524996.796 5.989718852076057e-22 1.5075048890969188e+274): 2 * [misc]none: (-43005.535297945375 -4.9850003411115104e+44 -1.6509120474285218e-225 -4.497226812316379e-23 -1.1880451513990447e-79): 2 * [misc]none: (-1.1835678237758717e-300 1.4054065643843607e+143 -5.227672580615102e-70 7.359906380350718e-191 1.3040864443249938e-110): 0 * [misc]none: (-2.297811002867429e+303 1.8302494867349786e-39 -6.1069970644870536e+265 4.197592694642222e+22 1.821753799857952e-142): 3 * [misc]none: (5.2458139891945694e+154 -4.0135072159247725e+29 1.0410193423706427e+117 3.532644417124185e-126 -8.768238609926879e+20): 1 * [misc]none: (1.4572701198617546e+35 -2.114090989525349e-257 1.0605849328606976e+17 4.635074616884763e+136 3.2413518799476666e+266): 1 * [misc]none: (-4.1778642749867076e+95 7.392698153850156e+231 1.0005989868956712e+97 5.3783857635125407e+135 3.442751886867014e-55): 3 * [misc]none: (2.3644283305363024e-83 3.9340975132726664e+287 5.2425466679918264e-219 1.0547624812292463e-145 4250237653.9536467): 0 * [misc]none: (-8.50153961563616e-107 -4.8916602066052874e-26 -1.366939284848654e+161 -1.748959213197903e-296 4.732690630561365e-244): 2 * [misc]none: (7.108611529458249e-125 9.447848277803998e-214 -4.565481439630742e+47 114096295784294.11 9.198726189837946e+117): 0 * [misc]none: (1.078707362325158e+273 1.0052997374236907e+95 -2.4263578912357998e+175 3.319487012053256e-266 4.217054502906045e+236): 3 * [misc]none: (-7.736282106526743e-241 -1.1214178609242922e-117 6.980732986025448e-303 4.2936456292039216e-20 3.94689846377271e+37): 2 * [misc]none: (-655317954642589.4 -1.1907091366388911e+288 568937.9683241895 -2.8537473047764535e+264 -8.768041250079899e+186): 2 * [misc]none: (3.497921457722617e-28 -9.44412833979788e-291 -1.6461152544114449e-13 -4.033078538958118e+228 3.4661781947574473e-174): 2 * [misc]none: (1.0749556482282616e+190 1.3022362512891203e+301 1.6138559527458008e-129 9.59713490648927e-79 2.5679653914894944e+44): 3 * [misc]none: (-4.0337231452941667e-286 -1.559009452307907e-97 3.649786347632848e-41 -1.0846396097202371e-299 1.6006318383540955e-158): 1 * [misc]none: (-5.4148381985889754e+200 -1.0206802772870221e+152 1.952264243778306e-263 -9.020752996011849e-177 -1.411295197436745e-164): 3 * [misc]none: (-1.9195946566262024e-295 -1.5106206885795175e-107 2.006607317631719e-226 9.725570899664205e+257 3.518645085640818e+44): 2 * [misc]none: (-2.5931746020885025e+28 2.3890698208301296e+174 -2.9139794528704084e-195 -3.435547063305358e+217 1.897680776087967e+200): 0 * [misc]none: (0.0008770234648074342 -3.000257314698498e+132 1.8714595161099368e+273 2.4654525054106353e-86 3.052393267206733e+305): 1 * [misc]none: Picked alt (λ (K m n M l) (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [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 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) in M * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)) in M * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) (- M)) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) in M * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) in M * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]backup-simplify: Simplify (log (* 1/2 (* (+ n m) K))) into (log (* 1/2 (* (+ n m) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* (+ n m) K)))) into (* 1/3 (log (* 1/2 (* (+ n m) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* (+ n m) K))))) into (pow (* 1/2 (* (+ n m) K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]backup-simplify: Simplify (log (* 1/2 (* (+ n m) K))) into (log (* 1/2 (* (+ n m) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* (+ n m) K)))) into (* 1/3 (log (* 1/2 (* (+ n m) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* (+ n m) K))))) into (pow (* 1/2 (* (+ n m) K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* K (+ n m)) into (* (+ n m) K) * [misc]backup-simplify: Simplify (/ (* (+ n m) K) 2) into (* 1/2 (* (+ n m) K)) * [misc]backup-simplify: Simplify (log (* 1/2 (* (+ n m) K))) into (log (* 1/2 (* (+ n m) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* (+ n m) K)))) into (* 1/3 (log (* 1/2 (* (+ n m) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* (+ n m) K))))) into (pow (* 1/2 (* (+ n m) K)) 1/3) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (pow (* 1/2 (* (+ n m) K)) 1/3) (pow (* 1/2 (* (+ n m) K)) 1/3)) into (pow (* (pow (+ n m) 2) (* (pow 1/2 2) (pow K 2))) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (pow (+ n m) 2) (* (pow 1/2 2) (pow K 2))) 1/3) (pow (* 1/2 (* (+ n m) K)) 1/3)) into (* (pow (* 1/2 1/4) 1/3) (* (+ n m) K)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/2 1/4) 1/3) (* (+ n m) K)) 0) into (+ (* (pow 1/8 1/3) (* n K)) (* (pow 1/8 1/3) (* m K))) * [misc]backup-simplify: Simplify (cos (+ (* (pow 1/8 1/3) (* n K)) (* (pow 1/8 1/3) (* m K)))) into (cos (+ (* (pow 1/8 1/3) (* n K)) (* (pow 1/8 1/3) (* m K)))) * [misc]backup-simplify: Simplify (sin (+ (* (pow 1/8 1/3) (* n K)) (* (pow 1/8 1/3) (* m K)))) into (sin (+ (* (pow 1/8 1/3) (* n K)) (* (pow 1/8 1/3) (* m K)))) * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) in n * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)) in n * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) (- M)) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) in n * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]backup-simplify: Simplify (log (* 1/2 (* K m))) into (log (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* K m)))) into (* 1/3 (log (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* K m))))) into (pow (* 1/2 (* K m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]backup-simplify: Simplify (log (* 1/2 (* K m))) into (log (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* K m)))) into (* 1/3 (log (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* K m))))) into (pow (* 1/2 (* K m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]backup-simplify: Simplify (log (* 1/2 (* K m))) into (log (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* K m)))) into (* 1/3 (log (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* K m))))) into (pow (* 1/2 (* K m)) 1/3) * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* (pow (* 1/2 (* K m)) 1/3) (pow (* 1/2 (* K m)) 1/3)) into (pow (* (pow m 2) (* (pow 1/2 2) (pow K 2))) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (pow m 2) (* (pow 1/2 2) (pow K 2))) 1/3) (pow (* 1/2 (* K m)) 1/3)) into (* (pow (* 1/2 1/4) 1/3) (* m K)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* (pow (* 1/2 1/4) 1/3) (* m K)) (- M)) into (- (* (pow 1/8 1/3) (* m K)) M) * [misc]backup-simplify: Simplify (cos (- (* (pow 1/8 1/3) (* m K)) M)) into (cos (- (* (pow 1/8 1/3) (* m K)) M)) * [misc]backup-simplify: Simplify (sin (- (* (pow 1/8 1/3) (* m K)) M)) into (sin (- (* (pow 1/8 1/3) (* m K)) M)) * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) in m * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)) in m * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) (- M)) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (log (* 1/2 (* n K))) into (log (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* n K)))) into (* 1/3 (log (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* n K))))) into (pow (* 1/2 (* n K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (log (* 1/2 (* n K))) into (log (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* n K)))) into (* 1/3 (log (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* n K))))) into (pow (* 1/2 (* n K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (log (* 1/2 (* n K))) into (log (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* n K)))) into (* 1/3 (log (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* n K))))) into (pow (* 1/2 (* n K)) 1/3) * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* (pow (* 1/2 (* n K)) 1/3) (pow (* 1/2 (* n K)) 1/3)) into (pow (* (pow n 2) (* (pow 1/2 2) (pow K 2))) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (pow n 2) (* (pow 1/2 2) (pow K 2))) 1/3) (pow (* 1/2 (* n K)) 1/3)) into (* (* n K) (pow (* 1/2 1/4) 1/3)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* (* n K) (pow (* 1/2 1/4) 1/3)) (- M)) into (- (* (pow 1/8 1/3) (* n K)) M) * [misc]backup-simplify: Simplify (cos (- (* (pow 1/8 1/3) (* n K)) M)) into (cos (- (* (pow 1/8 1/3) (* n K)) M)) * [misc]backup-simplify: Simplify (sin (- (* (pow 1/8 1/3) (* n K)) M)) into (sin (- (* (pow 1/8 1/3) (* n K)) M)) * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) in K * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)) in K * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) (- M)) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))) into (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 2) (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))) into (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) (- M)) into (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M) * [misc]backup-simplify: Simplify (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) into (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) * [misc]backup-simplify: Simplify (sin (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) into (sin (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) in K * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)) in K * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) (- M)) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))) into (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 2) (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))) into (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) (- M)) into (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M) * [misc]backup-simplify: Simplify (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) into (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) * [misc]backup-simplify: Simplify (sin (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) into (sin (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) * [misc]backup-simplify: Simplify (* (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) 1) into (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) * [misc]backup-simplify: Simplify (* (sin (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) 0) into (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) * [misc]taylor: Taking taylor expansion of (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) in m * [misc]taylor: Taking taylor expansion of (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M) in m * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 (+ n m)))) in m * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ n m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ n m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (log (* 1/2 n)) into (log (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (log K) (log (* 1/2 n))) into (+ (log K) (log (* 1/2 n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 n)))) into (* 1/3 (+ (log K) (log (* 1/2 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log K) (log (* 1/2 n)))))) into (* 1/3 (+ (log K) (log (* 1/2 n)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (+ (log K) (log (* 1/2 n))))) into (+ (log K) (log (* 1/2 n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (log (* 1/2 n)))) into (exp (+ (log K) (log (* 1/2 n)))) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (exp (+ (log K) (log (* 1/2 n)))) (- M)) into (- (exp (+ (log K) (log (* 1/2 n)))) M) * [misc]backup-simplify: Simplify (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) into (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) * [misc]backup-simplify: Simplify (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) into (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) * [misc]backup-simplify: Simplify (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) 1) into (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) * [misc]backup-simplify: Simplify (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) 0) into (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) * [misc]taylor: Taking taylor expansion of (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) in n * [misc]taylor: Taking taylor expansion of (- (exp (+ (log K) (log (* 1/2 n)))) M) in n * [misc]taylor: Taking taylor expansion of (exp (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (+ (log 1/2) (log n)))) into (exp (+ (log K) (+ (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (exp (+ (log K) (+ (log 1/2) (log n)))) (- M)) into (- (exp (+ (log K) (+ (log 1/2) (log n)))) M) * [misc]backup-simplify: Simplify (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) into (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 1) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]taylor: Taking taylor expansion of (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) in M * [misc]taylor: Taking taylor expansion of (- (exp (+ (log K) (+ (log 1/2) (log n)))) M) in M * [misc]taylor: Taking taylor expansion of (exp (+ (log K) (+ (log 1/2) (log n)))) in M * [misc]taylor: Taking taylor expansion of (+ (log K) (+ (log 1/2) (log n))) in M * [misc]taylor: Taking taylor expansion of (log K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (+ (log 1/2) (log n)) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (log 1/2) (log n)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (+ (log 1/2) (log n)))) into (exp (+ (log K) (+ (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log K) (+ (log 1/2) (log n)))) 0) into (exp (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (cos (exp (+ (log K) (+ (log 1/2) (log n))))) into (cos (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (sin (exp (+ (log K) (+ (log 1/2) (log n))))) into (sin (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (* (cos (exp (+ (log K) (+ (log 1/2) (log n))))) 1) into (cos (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (* (sin (exp (+ (log K) (+ (log 1/2) (log n))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (exp (+ (log K) (+ (log 1/2) (log n))))) 0) into (cos (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (cos (exp (+ (log K) (+ (log 1/2) (log n))))) into (cos (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log (* 1/2 (+ n m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log (* 1/2 (+ n m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log (* 1/2 (+ n m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 0) (* 0 (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 2) 0) (* 0 (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 n)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (* 1/2 n) 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n))) 1)) (pow (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (* 0 (* 1/3 (+ (log K) (log (* 1/2 n)))))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp (+ (log K) (log (* 1/2 n)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (+ (log K) (log (* 1/2 n)))) n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (+ (log K) (log (* 1/2 n)))) n) 0) into (/ (exp (+ (log K) (log (* 1/2 n)))) n) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (/ (exp (+ (log K) (log (* 1/2 n)))) n) 1) 1))) into (/ (exp (+ (log K) (log (* 1/2 n)))) n) * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (/ (exp (+ (log K) (log (* 1/2 n)))) n)) (* 0 0)) into (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n) * [misc]backup-simplify: Simplify (- (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n)) into (- (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n))) into (- (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n)) * [misc]taylor: Taking taylor expansion of (- (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n)) in n * [misc]taylor: Taking taylor expansion of (/ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) n) in n * [misc]taylor: Taking taylor expansion of (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) (exp (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) in n * [misc]taylor: Taking taylor expansion of (- (exp (+ (log K) (log (* 1/2 n)))) M) in n * [misc]taylor: Taking taylor expansion of (exp (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (+ (log 1/2) (log n)))) into (exp (+ (log K) (+ (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (exp (+ (log K) (+ (log 1/2) (log n)))) (- M)) into (- (exp (+ (log K) (+ (log 1/2) (log n)))) M) * [misc]backup-simplify: Simplify (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) into (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]taylor: Taking taylor expansion of (exp (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (+ (log 1/2) (log n)))) into (exp (+ (log K) (+ (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 1) into (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) into (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (+ (log K) (+ (log 1/2) (log n))))) into (* (exp (+ (log K) (+ (log 1/2) (log n)))) (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M))) * [misc]backup-simplify: Simplify (/ (* (exp (+ (log K) (+ (log 1/2) (log n)))) (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M))) 1) into (* (exp (+ (log K) (+ (log 1/2) (log n)))) (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 (exp (+ (log K) (+ (log 1/2) (log n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (+ (log K) (+ (log 1/2) (log n)))) (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (exp (+ (log K) (+ (log 1/2) (log n))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1 1) 1))) into (- 1) * [misc]backup-simplify: Simplify (+ (* (sin (exp (+ (log K) (+ (log 1/2) (log n))))) (- 1)) (* 0 0)) into (- (sin (exp (+ (log K) (+ (log 1/2) (log n)))))) * [misc]backup-simplify: Simplify (- (- (sin (exp (+ (log K) (+ (log 1/2) (log n))))))) into (sin (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (+ 0 (sin (exp (+ (log K) (+ (log 1/2) (log n)))))) into (sin (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (sin (exp (+ (log K) (+ (log 1/2) (log n))))) into (sin (exp (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ n m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (log (* 1/2 (+ n m))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ n m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (log (* 1/2 (+ n m))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ n m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (log (* 1/2 (+ n m))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (pow (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) 3) M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (/ (exp (+ (log K) (log (* 1/2 n)))) n) 2) 2)) 0) into (- (* 1/2 (/ (pow (exp (+ (log K) (log (* 1/2 n)))) 2) (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (- (* 1/2 (/ (pow (exp (+ (log K) (log (* 1/2 n)))) 2) (pow n 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (/ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (* 1/2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow n 2))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n))) 2)) (pow (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2)))) 1)) (pow (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) 1)))) 2) into (/ -1/6 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/6 (pow n 2))) (+ (* 0 (/ 1/3 n)) (* 0 (* 1/3 (+ (log K) (log (* 1/2 n))))))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (+ (log K) (log (* 1/2 n)))) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (log (* 1/2 n)))) M)) 0) (+ (* 0 (/ (exp (+ (log K) (log (* 1/2 n)))) n)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) (pow n 2)))) 0) into (- (* 1/2 (/ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (* (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) (pow (exp (+ (log K) (log (* 1/2 n)))) 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- (exp (+ (log K) (log (* 1/2 n)))) M)) in n * [misc]taylor: Taking taylor expansion of (- (exp (+ (log K) (log (* 1/2 n)))) M) in n * [misc]taylor: Taking taylor expansion of (exp (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (+ (log 1/2) (log n)))) into (exp (+ (log K) (+ (log 1/2) (log n)))) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (exp (+ (log K) (+ (log 1/2) (log n)))) (- M)) into (- (exp (+ (log K) (+ (log 1/2) (log n)))) M) * [misc]backup-simplify: Simplify (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) into (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]taylor: Taking taylor expansion of (pow (exp (+ (log K) (log (* 1/2 n)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (+ (log K) (log (* 1/2 n))))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (+ (log K) (log (* 1/2 n)))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (exp (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (exp (+ (log K) (+ (log 1/2) (log n)))) into (exp (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (log (exp (+ (log K) (+ (log 1/2) (log n))))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 2 (+ (log K) (+ (log 1/2) (log n)))) into (* 2 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 2 (+ (log K) (+ (log 1/2) (log n))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 1) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) into (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) * [misc]backup-simplify: Simplify (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))) into (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))) * [misc]backup-simplify: Simplify (/ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))) 1) into (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (+ (log K) (+ (log 1/2) (log n)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (+ (log K) (+ (log 1/2) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (+ (log K) (+ (log 1/2) (log n)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log K) (+ (log 1/2) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (* 0 (exp (* 2 (+ (log K) (+ (log 1/2) (log n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) (exp (* 2 (+ (log K) (+ (log 1/2) (log n))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 (exp (+ (log K) (+ (log 1/2) (log n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (+ (log K) (+ (log 1/2) (log n)))) (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log K) (+ (log 1/2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (+ (log K) (+ (log 1/2) (log n)))) M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (exp (+ (log K) (+ (log 1/2) (log n))))) (* M (* 1 (* 1 1)))) (cos (exp (+ (log K) (+ (log 1/2) (log n)))))) into (+ (* M (sin (exp (+ (log K) (+ (log 1/2) (log n)))))) (cos (exp (+ (log K) (+ (log 1/2) (log n)))))) * [misc]approximate: Taking taylor expansion of (cos (fma (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (- (/ 1 M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (- (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (- (/ 1 M))) in M * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (- (/ 1 M))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in M * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in M * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) into (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) into (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))))) into (pow (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) into (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) into (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))))) into (pow (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* (/ 1 K) (+ (/ 1 n) (/ 1 m))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) into (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) into (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))))) into (pow (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) 1/3) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in 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 (fma (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (- (/ 1 M)))) into (cos (fma (pow (cbrt (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) 2) (cbrt (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) (- (/ 1 M)))) * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (- (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (- (/ 1 M))) in n * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (- (/ 1 M))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in n * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) (exp (* 1/3 (- (log (/ 1/2 K)) (log n))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 2) (exp (* 1/3 (- (log (/ 1/2 K)) (log n))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (- (/ 1 M))) into (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (/ 1 M))) into (cos (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (/ 1 M))) into (sin (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (- (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (- (/ 1 M))) in m * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (- (/ 1 M))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) (exp (* 1/3 (- (log (/ 1/2 K)) (log m))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 2) (exp (* 1/3 (- (log (/ 1/2 K)) (log m))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (- (/ 1 M))) into (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (/ 1 M))) into (cos (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (/ 1 M))) into (sin (- (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (- (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (- (/ 1 M))) in K * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (- (/ 1 M))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (- (/ 1 M))) into (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) into (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) into (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (- (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (- (/ 1 M))) in K * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (- (/ 1 M))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (- (/ 1 M))) into (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) into (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) into (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) 1) into (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) 0) into (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (exp (- (log 1/2) (+ (log K) (log m)))) (- (/ 1 M))) into (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 1) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (exp (- (log 1/2) (+ (log K) (log m)))) (- (/ 1 M))) into (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)) * [misc]backup-simplify: Simplify (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 1) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in M * [misc]taylor: Taking taylor expansion of (log K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n))) 1)) (pow (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (* 0 (* 1/3 (- (log 1/2) (+ (log K) (log m)))))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) 0) into (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) 1) 1))) into (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) (/ (exp (- (log 1/2) (+ (log K) (log m)))) n)) (* 0 0)) into (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n) * [misc]backup-simplify: Simplify (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n)) into (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n))) into (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n)) * [misc]taylor: Taking taylor expansion of (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n)) in n * [misc]taylor: Taking taylor expansion of (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) n) in n * [misc]taylor: Taking taylor expansion of (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (exp (- (log 1/2) (+ (log K) (log m)))) (- (/ 1 M))) into (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)) * [misc]backup-simplify: Simplify (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) into (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 1) into (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) into (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) into (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) 1) into (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/2) (+ (log K) (log m)))) 0) (* 0 (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (exp (- (log 1/2) (+ (log K) (log m)))) (/ 1 M))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (exp (- (log 1/2) (+ (log (/ 1 K)) (log (/ 1 m))))) (/ 1 (/ 1 M)))) into (cos (- (exp (- (log 1/2) (+ (log (/ 1 m)) (log (/ 1 K))))) M)) * [misc]approximate: Taking taylor expansion of (cos (fma (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (- (/ 1 (- M))))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (- (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (- (/ 1 (- M)))) in M * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (- (/ 1 (- M)))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in M * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in M * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) into (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) into (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))))) into (pow (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) into (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) into (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))))) into (pow (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in M * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* (/ -1 K) (- (+ (/ 1 n) (/ 1 m)))) into (/ (+ (/ 1 n) (/ 1 m)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 n) (/ 1 m)) K) 2) into (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) into (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) into (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))))) into (pow (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K)) 1/3) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ 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 (fma (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (- (/ 1 (- M))))) into (cos (fma (pow (cbrt (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) 2) (cbrt (* 1/2 (/ (+ (/ 1 n) (/ 1 m)) K))) (/ 1 M))) * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (- (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (- (/ 1 (- M)))) in n * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (- (/ 1 (- M)))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in n * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) (exp (* 1/3 (- (log (/ 1/2 K)) (log n))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 2) (exp (* 1/3 (- (log (/ 1/2 K)) (log n))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3) (/ 1 M)) into (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3))) into (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3))) into (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) 3))) * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (- (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (- (/ 1 (- M)))) in m * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (- (/ 1 (- M)))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) (exp (* 1/3 (- (log (/ 1/2 K)) (log m))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 2) (exp (* 1/3 (- (log (/ 1/2 K)) (log m))))) into (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3) (/ 1 M)) into (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3))) into (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3))) into (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) 3))) * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (- (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (- (/ 1 (- M)))) in K * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (- (/ 1 (- M)))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M)) into (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) into (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) into (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) * [misc]taylor: Taking taylor expansion of (cos (fma (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (- (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (- (/ 1 (- M)))) in K * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (- (/ 1 (- M)))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) (/ 1 M)) into (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) into (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) into (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) * [misc]backup-simplify: Simplify (* (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 1) into (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) * [misc]backup-simplify: Simplify (* (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 0) into (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3) in m * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))))) in m * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))))) in m * [misc]taylor: Taking taylor expansion of 3 in m * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) into (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (* (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 1) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (* (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) into (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (* (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 1) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (* (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in M * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in M * [misc]taylor: Taking taylor expansion of (log 1/2) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in M * [misc]taylor: Taking taylor expansion of (log K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n))) 1)) (pow (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (* 0 (* 1/3 (- (log 1/2) (+ (log K) (log m)))))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ 0 (/ (exp (- (log 1/2) (+ (log K) (log m)))) n)) into (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) 1) 1))) into (/ (exp (- (log 1/2) (+ (log K) (log m)))) n) * [misc]backup-simplify: Simplify (+ (* (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) (/ (exp (- (log 1/2) (+ (log K) (log m)))) n)) (* 0 0)) into (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n) * [misc]backup-simplify: Simplify (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n)) into (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n))) into (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n)) * [misc]taylor: Taking taylor expansion of (- (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n)) in n * [misc]taylor: Taking taylor expansion of (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) n) in n * [misc]taylor: Taking taylor expansion of (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) in n * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (+ (log K) (log m)))) into (exp (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) into (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) into (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 1) into (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (* (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) into (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) into (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) * [misc]backup-simplify: Simplify (/ (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) 1) into (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/2) (+ (log K) (log m)))) 0) (* 0 (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (- (log 1/2) (+ (log K) (log m)))) (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m))))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (/ 1 M) (exp (- (log 1/2) (+ (log K) (log m)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (/ 1 M) (pow (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) 3))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (/ 1 (- M))) (exp (- (log 1/2) (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))))) into (cos (- (exp (- (log 1/2) (+ (log (/ -1 m)) (log (/ -1 K))))) M)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]backup-simplify: Simplify (log (* 1/2 (* K m))) into (log (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* K m)))) into (* 1/3 (log (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* K m))))) into (pow (* 1/2 (* K m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (log (* 1/2 (* n K))) into (log (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* n K)))) into (* 1/3 (log (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* n K))))) into (pow (* 1/2 (* n K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 (+ n m)))) in m * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ n m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ n m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (log (* 1/2 n)) into (log (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (log K) (log (* 1/2 n))) into (+ (log K) (log (* 1/2 n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 n)))) into (* 1/3 (+ (log K) (log (* 1/2 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log (* 1/2 (+ n m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 n)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (* 1/2 n) 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) 1) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ n m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (log (* 1/2 (+ n m))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (* 1/2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow n 2))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) 1) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (+ (log 1/2) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log (/ 1 K)) (log (/ 1 m)))))) into (exp (* 1/3 (- (log 1/2) (+ (log (/ 1 m)) (log (/ 1 K)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log (/ 1 (- K))) (log (/ 1 (- m))))))) into (exp (* 1/3 (- (log 1/2) (+ (log (/ -1 m)) (log (/ -1 K)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]backup-simplify: Simplify (log (* 1/2 (* K m))) into (log (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* K m)))) into (* 1/3 (log (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* K m))))) into (pow (* 1/2 (* K m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (log (* 1/2 (* n K))) into (log (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* n K)))) into (* 1/3 (log (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* n K))))) into (pow (* 1/2 (* n K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 (+ n m)))) in m * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ n m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ n m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (log (* 1/2 n)) into (log (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (log K) (log (* 1/2 n))) into (+ (log K) (log (* 1/2 n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 n)))) into (* 1/3 (+ (log K) (log (* 1/2 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log (* 1/2 (+ n m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 n)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (* 1/2 n) 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) 1) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ n m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (log (* 1/2 (+ n m))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (* 1/2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow n 2))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) 1) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (+ (log 1/2) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log (/ 1 K)) (log (/ 1 m)))))) into (exp (* 1/3 (- (log 1/2) (+ (log (/ 1 m)) (log (/ 1 K)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log (/ 1 (- K))) (log (/ 1 (- m))))))) into (exp (* 1/3 (- (log 1/2) (+ (log (/ -1 m)) (log (/ -1 K)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K m)) * [misc]backup-simplify: Simplify (log (* 1/2 (* K m))) into (log (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* K m)))) into (* 1/3 (log (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* K m))))) into (pow (* 1/2 (* K m)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* K n) into (* n K) * [misc]backup-simplify: Simplify (/ (* n K) 2) into (* 1/2 (* n K)) * [misc]backup-simplify: Simplify (log (* 1/2 (* n K))) into (log (* 1/2 (* n K))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* n K)))) into (* 1/3 (log (* 1/2 (* n K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* n K))))) into (pow (* 1/2 (* n K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* K (+ m n)) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* K (+ m n)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* K (+ m n)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* K (+ m n)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* K (+ m n)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m n)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ n m) * [misc]backup-simplify: Simplify (* 0 (+ n m)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ n m))) into (+ n m) * [misc]backup-simplify: Simplify (/ (+ n m) 2) into (* 1/2 (+ n m)) * [misc]backup-simplify: Simplify (log (* 1/2 (+ n m))) into (log (* 1/2 (+ n m))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) into (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 (+ n m))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 (+ n m)))) in m * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ n m))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ n m)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ n m) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (* 1/2 n) into (* 1/2 n) * [misc]backup-simplify: Simplify (log (* 1/2 n)) into (log (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (log K) (log (* 1/2 n))) into (+ (log K) (log (* 1/2 n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (log (* 1/2 n)))) into (* 1/3 (+ (log K) (log (* 1/2 n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) into (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ n m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log (* 1/2 (+ n m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 n)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (* 1/2 n) 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) 1) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ n m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ n m)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ n m)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ n m)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log K)) (log (* 1/2 (+ n m)))) into (+ (log K) (log (* 1/2 (+ n m)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (log (* 1/2 (+ n m))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 (+ n m)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (* 1/2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow n 2))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (+ (log K) (log (* 1/2 n)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log (* 1/2 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log K) (log (* 1/2 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log K) (log (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 1/2)) into (+ (log 1/2) (log n)) * [misc]backup-simplify: Simplify (+ (log K) (+ (log 1/2) (log n))) into (+ (log K) (+ (log 1/2) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) into (* 1/3 (+ (log K) (+ (log 1/2) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) 1) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (+ (log 1/2) (log n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log K) (+ (log 1/2) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) into (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 K) 1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 n) (/ 1 m))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 n) (/ 1 m)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log (/ 1 K)) (log (/ 1 m)))))) into (exp (* 1/3 (- (log 1/2) (+ (log (/ 1 m)) (log (/ 1 K)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log n))) into (* 1/3 (- (log (/ 1/2 K)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 K) -1) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (log (/ 1/2 K)) into (log (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log (/ 1/2 K))) into (- (log (/ 1/2 K)) (log m)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1/2 K)) (log m))) into (* 1/3 (- (log (/ 1/2 K)) (log m))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1/2 K)) (log m)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Rewrote expression to (pow (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 n) (/ 1 m)))) into (+ (/ 1 n) (/ 1 m)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 n) (/ 1 m)) 2) into (* 1/2 (+ (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) into (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) into (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) in m * [misc]taylor: Taking taylor expansion of (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 n) (/ 1 m))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 m)) in m * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]backup-simplify: Simplify (+ (* (- 1) (log m)) (log 1/2)) into (- (log 1/2) (log m)) * [misc]backup-simplify: Simplify (- (log K)) into (- (log K)) * [misc]backup-simplify: Simplify (+ (- (log 1/2) (log m)) (- (log K))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 n) (/ 1 m))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 1)) (pow 1/2 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m))))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 n) (/ 1 m)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 n) (/ 1 m))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (+ (/ 1 n) (/ 1 m))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log K)) (log (* 1/2 (+ (/ 1 n) (/ 1 m))))) into (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 (+ (/ 1 n) (/ 1 m)))) (log K)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 n))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 1/2 (/ 1 (pow n 2))))) (+ (* 0 (/ 1 n)) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 1/2) (+ (log K) (log m)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log 1/2) (+ (log K) (log m))) in n * [misc]taylor: Taking taylor expansion of (log 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (+ (log K) (log m)) in n * [misc]taylor: Taking taylor expansion of (log K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (log K) into (log K) * [misc]taylor: Taking taylor expansion of (log m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (log m) into (log m) * [misc]backup-simplify: Simplify (+ (log K) (log m)) into (+ (log K) (log m)) * [misc]backup-simplify: Simplify (- (+ (log K) (log m))) into (- (+ (log K) (log m))) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (+ (log K) (log m)))) into (- (log 1/2) (+ (log K) (log m))) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (+ (log K) (log m)))) into (* 1/3 (- (log 1/2) (+ (log K) (log m)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) 1) into (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (+ (log K) (log m))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow K 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow K 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (+ (log K) (log m)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 1/2) (+ (log K) (log m))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (+ (log K) (log m)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (+ (log (/ 1 (- K))) (log (/ 1 (- m))))))) into (exp (* 1/3 (- (log 1/2) (+ (log (/ -1 m)) (log (/ -1 K)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (expm1 (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (expm1 (cos (fma (+ m n) (/ K 2) (- M)))) * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log1p (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (log1p (cos (fma (+ m n) (/ K 2) (- M)))) * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)))) (cos (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [enter]simplify: Simplifying (* (sin (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)))) (sin (- M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (* (- (sin M)) (sin (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (log (cos (fma (+ m n) (/ K 2) (- M)))) * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (exp (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (exp (cos (fma (+ m n) (/ K 2) (- M)))) * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)))) (cbrt (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (fma (+ m n) (/ K 2) (- M)))) (cbrt (cos (fma (+ m n) (/ K 2) (- M))))) * [exit]simplify: Simplified to (* (cbrt (cos (fma (+ m n) (/ K 2) (- M)))) (cbrt (cos (fma (+ m n) (/ K 2) (- M))))) * [enter]simplify: Simplifying (cbrt (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (cbrt (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (cbrt (cos (fma (+ m n) (/ K 2) (- M)))) * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)))) (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (pow (cos (fma (/ K 2) (+ m n) (- M))) 3) * [exit]simplify: Simplified to (pow (cos (fma (/ K 2) (+ m n) (- M))) 3) * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (sqrt (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (sqrt (cos (fma (+ m n) (/ K 2) (- M)))) * [enter]simplify: Simplifying (sqrt (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (sqrt (cos (fma (+ m n) (/ K 2) (- M)))) * [exit]simplify: Simplified to (sqrt (cos (fma (+ m n) (/ K 2) (- M)))) * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (expm1 (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log1p (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (log1p (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (log (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (exp (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (+ m n) (/ 2 K))) (cbrt (/ (+ m n) (/ 2 K))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (+ m n) (/ 2 K))) (cbrt (/ (+ m n) (/ 2 K))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (* K (+ m n)) 2))) (cbrt (cbrt (/ (* K (+ m n)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (+ m n) (/ 2 K)))) (cbrt (cbrt (/ (+ m n) (/ 2 K))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (+ m n) (/ 2 K)))) (cbrt (cbrt (/ (+ m n) (/ 2 K))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ m n) (/ 2 K)) * [exit]simplify: Simplified to (/ (+ m n) (/ 2 K)) * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (expm1 (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log1p (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (log1p (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (log (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (exp (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (+ m n) (/ 2 K))) (cbrt (/ (+ m n) (/ 2 K))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (+ m n) (/ 2 K))) (cbrt (/ (+ m n) (/ 2 K))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (* K (+ m n)) 2))) (cbrt (cbrt (/ (* K (+ m n)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (+ m n) (/ 2 K)))) (cbrt (cbrt (/ (+ m n) (/ 2 K))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (+ m n) (/ 2 K)))) (cbrt (cbrt (/ (+ m n) (/ 2 K))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ m n) (/ 2 K)) * [exit]simplify: Simplified to (/ (+ m n) (/ 2 K)) * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (expm1 (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log1p (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (log1p (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (log (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (exp (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (+ m n) (/ 2 K))) (cbrt (/ (+ m n) (/ 2 K))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (+ m n) (/ 2 K))) (cbrt (/ (+ m n) (/ 2 K))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (* K (+ m n)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * [exit]simplify: Simplified to (cbrt (* (/ K 2) (+ m n))) * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* K (+ m n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [exit]simplify: Simplified to (cbrt (* (+ m n) K)) * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (* K (+ m n)) 2))) (cbrt (cbrt (/ (* K (+ m n)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (+ m n) (/ 2 K)))) (cbrt (cbrt (/ (+ m n) (/ 2 K))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (+ m n) (/ 2 K)))) (cbrt (cbrt (/ (+ m n) (/ 2 K))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ m n) (/ 2 K)) * [exit]simplify: Simplified to (/ (+ m n) (/ 2 K)) * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (* K (+ m n)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ m n) (/ K 2)))) * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* M (sin (exp (+ (log K) (+ (log 1/2) (log n)))))) (cos (exp (+ (log K) (+ (log 1/2) (log n)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (/ (fma M (sin (* (* 1/2 n) K)) (cos (* (* 1/2 n) K))) (exp (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (exp (- (log 1/2) (+ (log (/ 1 m)) (log (/ 1 K))))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (/ (cos (fma 1/2 (* m K) (- M))) (exp (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (exp (- (log 1/2) (+ (log (/ -1 m)) (log (/ -1 K))))) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (/ (cos (- (* (/ 1/2 -1) (/ m (/ -1 K))) M)) (exp (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (/ (cos (fma (cbrt (* (/ K 2) (+ m n))) (* (* (* (cbrt K) (pow n 1/3)) (pow 1/2 1/3)) (cbrt (* (/ K 2) (+ m n)))) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (exp (* 1/3 (- (log 1/2) (+ (log (/ 1 m)) (log (/ 1 K)))))) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (/ (cos (fma (exp (fma 1/3 (+ (log m) (log K)) (* (log 1/2) 1/3))) (* (cbrt (/ (+ m n) (/ 2 K))) (cbrt (/ (+ m n) (/ 2 K)))) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (cbrt (/ (* K (+ m n)) 2))) (exp (* 1/3 (- (log 1/2) (+ (log (/ -1 m)) (log (/ -1 K)))))) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (380 enodes) * [exit]simplify: Simplified to (/ (cos (fma (exp (fma (+ (- (log m) (log -1)) (- (log K) (log -1))) 1/3 (* (log 1/2) 1/3))) (* (cbrt (* (/ K 2) (+ m n))) (cbrt (* (/ K 2) (+ m n)))) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n)))))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* (cbrt (/ (+ m n) (/ 2 K))) (* (pow n 1/3) (* (pow 1/2 1/3) (cbrt K)))) (cbrt (/ (+ m n) (/ 2 K))) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (exp (* 1/3 (- (log 1/2) (+ (log (/ 1 m)) (log (/ 1 K))))))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (/ (cos (fma (exp (fma 1/3 (+ (log K) (log m)) (* (log 1/2) 1/3))) (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (fma (* (cbrt (/ (* K (+ m n)) 2)) (exp (* 1/3 (- (log 1/2) (+ (log (/ -1 m)) (log (/ -1 K))))))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (380 enodes) * [exit]simplify: Simplified to (/ (cos (fma (exp (fma 1/3 (+ (- (log m) (log -1)) (- (log K) (log -1))) (* (log 1/2) 1/3))) (* (cbrt (* (/ K 2) (+ m n))) (cbrt (* (/ K 2) (+ m n)))) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (fma (* (exp (* 1/3 (+ (log K) (+ (log 1/2) (log n))))) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (/ (cos (fma (* (* (* (cbrt K) (pow n 1/3)) (pow 1/2 1/3)) (cbrt (/ (+ m n) (/ 2 K)))) (cbrt (/ (+ m n) (/ 2 K))) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (fma (* (exp (* 1/3 (- (log 1/2) (+ (log (/ 1 m)) (log (/ 1 K)))))) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (/ (cos (fma (exp (fma (+ (log K) (log m)) 1/3 (* 1/3 (log 1/2)))) (* (cbrt (/ (+ n m) (/ 2 K))) (cbrt (/ (+ n m) (/ 2 K)))) (- M))) (exp (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))))) * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (fma (* (exp (* 1/3 (- (log 1/2) (+ (log (/ -1 m)) (log (/ -1 K)))))) (cbrt (/ (* K (+ m n)) 2))) (cbrt (/ (* K (+ m n)) 2)) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (/ (cos (fma (exp (fma 1/3 (+ (- (log m) (log -1)) (- (log 1/2) (log -1))) (* (log K) 1/3))) (* (cbrt (* (+ n m) (/ K 2))) (cbrt (* (+ n m) (/ K 2)))) (- M))) (exp (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (- l (fabs (- m n)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 476 additional inputs, on iter 1 have 7524 / 8000 * * * * [misc]points: Computing exacts on every 29 of 476 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 14 of 476 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 7 of 476 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 3 of 476 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 476 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 32 additional inputs, on iter 2 have 7968 / 8000 * * * * [misc]points: Computing exacts on every 2 of 32 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 32 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8002 points with exact outputs