* [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: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 119 additional inputs, on iter 1 have 137 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 55 additional inputs, on iter 2 have 201 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 24 additional inputs, on iter 3 have 232 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 4 have 245 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 5 have 248 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 6 have 249 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 253 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in n * [misc]taylor: Taking taylor expansion of (- (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [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 (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (- f) f) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 (- n)) (+ (* 1 (/ 1 (- n))))) into (* 2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 0 (- n))) (* (* 2 (/ 1 (pow n 2))) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 n) * [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 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (+ f n))) (log (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (log (- (- n) f)) (log (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (exp (- (log (- (- n) f)) (log (- f n))))) * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (f n) (- 0 (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- n) f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (- n) f)) (cbrt (- f n))))) * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- n) f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (- n) f)) (sqrt (- f n))))) * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- f) n)) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (- f) n)) (- f n)))) * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (- n) f)) (cbrt (- f n))))) * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (- (- n) f)) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (- n) f)) (sqrt (- f n))))) * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (- n) f)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (sqrt (- (- n) f)) (/ (sqrt (- (+ f n))) (- f n)))) * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- f) n)) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (sqrt (- (- n) f)) (/ (sqrt (- (- f) n)) (- f n)))) * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (- f) n) (cbrt (- f n))))) * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))))) * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f n) (* 1 (/ (- (+ f n)) (- f n)))) * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* 1 (- (/ (+ n f) (- f n))))) * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (+ f n) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))))) * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (+ f n) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))) * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (f n) (* -1 (/ (+ f n) (- f n)))) * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* -1 (/ (+ n f) (- f n)))) * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n))))) * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ n f)) (sqrt (- f n))) (- (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (/ (cbrt (+ n f)) (sqrt (- f n))) (- (cbrt (+ n f)))) (/ (cbrt (+ f n)) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ n f)) (sqrt (- f n))))) * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (- (cbrt (+ n f))) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (- (cbrt (+ n f))) (cbrt (+ n f))) (/ (cbrt (+ f n)) (- f n)))) * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (* (- (cbrt (+ n f))) (cbrt (+ n f))) (/ (cbrt (+ n f)) (- f n)))) * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n))))) * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))))) * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (+ n f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (sqrt (+ n f))) (/ (sqrt (+ f n)) (- f n)))) * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)))) * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (+ f n) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))) * * * * [misc]progress: [ 30 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (+ f n) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))) * * * * [misc]progress: [ 31 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (f n) (* -1 (/ (+ f n) (- f n)))) * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* -1 (/ (+ n f) (- f n)))) * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))))) * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (- (cbrt (+ f n))) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))))) * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (+ n f)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ f n))) (- f n)))) * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ n f))) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)))) * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))))) * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (sqrt (+ f n)) (sqrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))))) * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ f n)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ n f)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (sqrt (+ n f)) (/ (- (sqrt (+ f n))) (- f n)))) * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ n f))) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)))) * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (- f) n) (cbrt (- f n))))) * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))))) * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f n) (* 1 (/ (- (+ f n)) (- f n)))) * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* 1 (- (/ (+ n f) (- f n))))) * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (- (/ (+ n f) (- f n)))) * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- f 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 (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (- f n)))) * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- f 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 (sqrt (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ (- (+ f n)) (sqrt (- f n))) (sqrt (- f n)))) * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- f n) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ (- (+ f n)) 1) (- f n))) * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (- f n) (cbrt (- (+ f n)))))) * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (- f) n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (sqrt (- (- f) n)) (/ (- f n) (sqrt (- (+ f n)))))) * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (sqrt (+ n f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (- (sqrt (+ n f))) (/ (- f n) (sqrt (+ f n))))) * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (f n) (/ -1 (/ (- f n) (+ f n)))) * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ f n)) (cbrt (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ n f)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- f n) (- (cbrt (+ f n)))))) * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ n f)) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (sqrt (+ n f)) (/ (- f n) (- (sqrt (+ f n)))))) * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* f f) (* (+ f n) n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (+ (* f f) (* (+ f n) n)))) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n f) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (+ f n)) (- (* f f) (* n n))) (+ n f))) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (+ (* (- f) (* f f)) (* (- n) (* n n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (+ (* (- f) (* f f)) (* (- n) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))))) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* f f) (* n n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (* (- n f) (+ f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (* (- n f) (+ f n)) (* (- f n) (- f n)))) * * * * [misc]progress: [ 62 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2) to (λ (f n) 1) * * * * [misc]progress: [ 63 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2) to (λ (f n) -1) * * * * [misc]progress: [ 64 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2) to (λ (f n) -1) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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 (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 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 f) 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 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (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 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) 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 f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking 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 f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) 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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) 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 f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 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 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 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 f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- f)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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 (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 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 f) 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 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (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 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) 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 f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking 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 f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) 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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) 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 f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 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 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 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 f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- f)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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 (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 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 f) 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 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (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 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) 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 f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking 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 f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) 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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) 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 f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 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 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 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 f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- f)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ f n)) (cbrt (+ f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ f n)) (cbrt (+ f n))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ f n)) (cbrt (+ f n))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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 (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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 (+ f n)) (cbrt (+ f n))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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 (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]backup-simplify: Simplify (* (pow n 1/3) (pow n 1/3)) into (pow (pow n 2) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow n 2) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (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 (pow n 2/3) into (pow n 2/3) * [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]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]backup-simplify: Simplify (+ (* (pow n 1/3) (* 1/3 (pow (/ 1 (pow n 2)) 1/3))) (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (pow n 1/3))) into (* 2/3 (pow (/ 1 n) 1/3)) * [misc]taylor: Taking taylor expansion of (* 2/3 (pow (/ 1 n) 1/3)) in n * [misc]taylor: Taking taylor expansion of 2/3 in n * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) 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]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 (* 2/3 (pow n -1/3)) into (* 2/3 (pow (/ 1 n) 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow (/ 1 n) 1/3)) into (* 2/3 (pow (/ 1 n) 1/3)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log n)) 0) into (* 2 (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (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]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]backup-simplify: Simplify (+ (* (pow n 1/3) (* -1/9 (pow (/ 1 (pow n 5)) 1/3))) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1/3 (pow (/ 1 (pow n 2)) 1/3))) (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow n 1/3)))) into (- (* 1/9 (pow (/ 1 (pow n 4)) 1/3))) * [misc]taylor: Taking taylor expansion of (- (* 1/9 (pow (/ 1 (pow n 4)) 1/3))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (pow (/ 1 (pow n 4)) 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 4)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 4))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 4))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (pow n 4) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log n)) 0) into (- (* 4 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log n)))) into (* -4/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -4/3 (log n))) into (pow n -4/3) * [misc]backup-simplify: Simplify (* 1/9 (pow n -4/3)) into (* 1/9 (pow (/ 1 (pow n 4)) 1/3)) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (/ 1 (pow n 4)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow n 4)) 1/3))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (/ 1 (pow n 4)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow n 4)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (/ 1 (pow n 4)) 1/3))) (pow (* 1 f) 2)) (+ (* (* 2/3 (pow (/ 1 n) 1/3)) (* 1 f)) (pow n 2/3))) into (- (+ (* 2/3 (* (pow (/ 1 n) 1/3) f)) (pow n 2/3)) (* 1/9 (* (pow (/ 1 (pow n 4)) 1/3) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (+ (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 f) (/ 1 n))) (cbrt (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (* (pow f -1/3) (pow f -1/3)) into (pow (/ 1 (pow f 2)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 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 f 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in n * [misc]taylor: Taking taylor expansion of (pow f 2) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (* f f) into (pow f 2) * [misc]backup-simplify: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow f 2))) into (log (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow f 2)))) into (* 1/3 (log (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow f 2))))) into (pow (/ 1 (pow f 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (pow f 2)) 1/3) into (pow (/ 1 (pow f 2)) 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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow f -1/3) (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) (* (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) (pow f -1/3))) into (* 2/3 (* (/ 1 n) (pow (/ 1 (pow f 2)) 1/3))) * [misc]taylor: Taking taylor expansion of (* 2/3 (* (/ 1 n) (pow (/ 1 (pow f 2)) 1/3))) in n * [misc]taylor: Taking taylor expansion of 2/3 in n * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 (pow f 2)) 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 (pow f 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 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 f 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in n * [misc]taylor: Taking taylor expansion of (pow f 2) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (* f f) into (pow f 2) * [misc]backup-simplify: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow f 2))) into (log (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow f 2)))) into (* 1/3 (log (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow f 2))))) into (pow (/ 1 (pow f 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* f 0) (* 0 f)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow f 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow f 2)) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (pow f 2)) 1/3)) into (pow (/ 1 (pow f 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (pow (/ 1 (pow f 2)) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* f 0) (* 0 f)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow f 2))))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow f -1/3) (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))) (+ (* (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) (* (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) (pow f -1/3)))) into (- (* 1/9 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/9 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 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 (pow f 2)) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 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 f 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in n * [misc]taylor: Taking taylor expansion of (pow f 2) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (* f f) into (pow f 2) * [misc]backup-simplify: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow f 2))) into (log (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow f 2)))) into (* 1/3 (log (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow f 2))))) into (pow (/ 1 (pow f 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* f 0) (* 0 f)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* f 0) (+ (* 0 0) (* 0 f))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))) (* 0 (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow f 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow f 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow f 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow f 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow f 2)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow f 2)) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (pow f 2)) 1/3)) into (pow (/ 1 (pow f 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow f 2)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* f 0) (+ (* 0 0) (* 0 f))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))) (* 0 (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow f 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow f 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow f 2))))) (+ (* (/ (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 (pow f 2)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow f 2)) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* f 0) (+ (* 0 0) (* 0 f))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))) (* 0 (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow f 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow f 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow f 2))))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow f -1/3) (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)))) (+ (* (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))) (+ (* (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) (* (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) (pow f -1/3))))) into (* 4/81 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/3))) * [misc]taylor: Taking taylor expansion of (* 4/81 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/3))) in n * [misc]taylor: Taking taylor expansion of 4/81 in n * [misc]backup-simplify: Simplify 4/81 into 4/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 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 f 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in n * [misc]taylor: Taking taylor expansion of (pow f 2) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (* f f) into (pow f 2) * [misc]backup-simplify: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow f 2))) into (log (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow f 2)))) into (* 1/3 (log (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow f 2))))) into (pow (/ 1 (pow f 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* f 0) (* 0 f)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* f 0) (+ (* 0 0) (* 0 f))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))) (* 0 (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow f 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow f 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* f 0) (+ (* 0 0) (+ (* 0 0) (* 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))) (* 0 (/ 0 (pow f 2))) (* 0 (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow f 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow f 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow f 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow f 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow f 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow f 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow f 2)) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow f 2)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow f 2)) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (pow f 2)) 1/3)) into (pow (/ 1 (pow f 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* 4/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow f 2)) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (pow (/ 1 f) 2)) 1/3) into (pow (pow f 2) 1/3) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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 (- f)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (exp (* 1/3 (- (log -1) (log f))))) into (pow (exp (* 1/3 (- (log -1) (log f)))) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log f)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (exp (* 1/3 (- (log -1) (log f))))) into (pow (exp (* 1/3 (- (log -1) (log f)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1) (log f)))) 2) into (pow (exp (* 1/3 (- (log -1) (log f)))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log f)))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n))) (* (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) (exp (* 1/3 (- (log -1) (log f)))))) into (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) n)) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) n)) in n * [misc]taylor: Taking taylor expansion of 2/3 in n * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) n) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log f)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking 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 f)))) (exp (* 1/3 (- (log -1) (log f))))) into (pow (exp (* 1/3 (- (log -1) (log f)))) 2) * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) 1) into (pow (exp (* 1/3 (- (log -1) (log f)))) 2) * [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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log f)))) 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) 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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log f)))) 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) 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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log f)))) (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)))) (+ (* (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n))) (* (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) (exp (* 1/3 (- (log -1) (log f))))))) into (- (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/9 in n * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log f)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (exp (* 1/3 (- (log -1) (log f))))) into (pow (exp (* 1/3 (- (log -1) (log f)))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) 1) into (pow (exp (* 1/3 (- (log -1) (log f)))) 2) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log f)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log f)))) 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) into 0 * [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))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log f)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log f)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log f)))) (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3)))) (+ (* (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)))) (+ (* (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n))) (* (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) (exp (* 1/3 (- (log -1) (log f)))))))) into (* 4/81 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 4/81 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 4/81 in n * [misc]backup-simplify: Simplify 4/81 into 4/81 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log f)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (exp (* 1/3 (- (log -1) (log f))))) into (pow (exp (* 1/3 (- (log -1) (log f)))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) 1) into (pow (exp (* 1/3 (- (log -1) (log f)))) 2) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) 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 f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 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 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log f)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log f)))) 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log f)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- f)))))) 2) into (pow (exp (* 1/3 (- (log -1) (log (/ -1 f))))) 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (* (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (cbrt (+ f n))))))) * * * * [misc]progress: [ 6 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (* (cbrt (sqrt (+ n f))) (cbrt (sqrt (+ f n))))))) * * * * [misc]progress: [ 7 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (* 1 (cbrt (+ f n)))))) * * * * [misc]progress: [ 8 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (/ (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))))))) * * * * [misc]progress: [ 9 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* f f) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n n))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (/ (cbrt (- (* f f) (* n n))) (cbrt (- f n)))))) * * * * [misc]progress: [ 10 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (cbrt (+ f n)) (* (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (cbrt (+ f n)))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 19 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (cbrt (+ f n)) (* (cbrt (sqrt (+ n f))) (cbrt (sqrt (+ f n)))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 20 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (cbrt (+ f n)) (* 1 (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 21 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (cbrt (+ f n)) (/ (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n))))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 22 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* f f) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (cbrt (+ f n)) (/ (cbrt (- (* f f) (* n n))) (cbrt (- f n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 23 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (* (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (cbrt (+ f n)))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 32 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (* (cbrt (sqrt (+ n f))) (cbrt (sqrt (+ f n)))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 33 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (* 1 (cbrt (+ f n))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 34 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (/ (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 35 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* f f) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (/ (cbrt (- (* f f) (* n n))) (cbrt (- f n))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 36 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n f) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (pow (+ n f) (+ 1/3 1/3))) (/ (- f n) (cbrt (+ f n))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 2/3 * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (pow (+ f n) 2/3)) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 41 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n f)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (pow (cbrt (+ n f)) (+ 1 1))) (/ (- f n) (cbrt (+ f n))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (pow (cbrt (+ f n)) 2)) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 42 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ f n) (+ f n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (+ n f) (+ n f)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (pow (* (+ n f) (+ n f)) 1/3)) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 43 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ f n)) (cbrt (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ n f)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (pow (* (cbrt (+ n f)) (cbrt (+ n f))) 1)) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 44 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n f)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (pow (cbrt (+ n f)) (+ 1 1))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 46 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (+ f n))) (log (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ n f))) (log (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (exp (+ (log (cbrt (+ n f))) (log (cbrt (+ n f)))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 48 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ f n) (+ f n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (+ n f) (+ n f)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (cbrt (* (+ n f) (+ n f)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 51 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (pow f 3) (pow n 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (pow f 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (/ (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (pow f 3) (pow n 3)))) (* (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (+ (* f f) (- (* n n) (* f n))))))) (/ (- f n) (cbrt (+ f n))))) * [enter]simplify: Simplifying (* (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (+ (* f f) (- (* n n) (* f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* f f) (* n (- n f)))) (cbrt (+ (* f f) (* n (- n f))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (/ (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (pow f 3) (pow n 3)))) (* (cbrt (+ (* f f) (* n (- n f)))) (cbrt (+ (* f f) (* n (- n f))))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 55 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (- (* f f) (* n n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ n f) (- f n))) (cbrt (+ (pow f 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (/ (* (cbrt (* (+ n f) (- f n))) (cbrt (+ (pow f 3) (pow n 3)))) (* (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- f n))))) (/ (- f n) (cbrt (+ f n))))) * [enter]simplify: Simplifying (* (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cbrt (- f n)) (cbrt (+ (* n n) (* f (- f n))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (/ (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (- (* f f) (* n n)))) (* (cbrt (- f n)) (cbrt (+ (* n n) (* f (- f n))))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 56 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* f f) (* n n))) (cbrt (+ (pow f 3) (pow n 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ f n) (- f n))) (cbrt (+ (pow f 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (/ (* (cbrt (* (+ f n) (- f n))) (cbrt (+ (pow f 3) (pow n 3)))) (* (cbrt (- f n)) (cbrt (+ (* f f) (- (* n n) (* f n))))))) (/ (- f n) (cbrt (+ f n))))) * [enter]simplify: Simplifying (* (cbrt (- f n)) (cbrt (+ (* f f) (- (* n n) (* f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cbrt (- f n)) (cbrt (+ (* f (- f n)) (* n n)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (/ (* (cbrt (- (* f f) (* n n))) (cbrt (+ (pow f 3) (pow n 3)))) (* (cbrt (- f n)) (cbrt (+ (* f (- f n)) (* n n)))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 57 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (- f n) (cbrt (+ f n))))) * [enter]simplify: Simplifying (* (cbrt (- f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 58 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (* (cbrt (+ f n)) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n))))) (cbrt (cbrt (+ n f))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 60 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (* (cbrt (+ f n)) (cbrt (sqrt (+ f n)))) (cbrt (sqrt (+ n f))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 61 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n f)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (* (cbrt (+ f n)) (cbrt 1)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 62 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (* (cbrt (+ f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))) (cbrt (cbrt (+ n f))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 63 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (* (cbrt (+ f n)) (sqrt (cbrt (+ f n)))) (sqrt (cbrt (+ n f))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 64 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n f)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (* (cbrt (+ f n)) 1) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 65 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (* (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (cbrt (cbrt (+ f n))) (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 66 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (* (cbrt (sqrt (+ n f))) (* (cbrt (sqrt (+ f n))) (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 67 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (* 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 68 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))) (* (cbrt (cbrt (+ f n))) (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 69 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (* (sqrt (cbrt (+ n f))) (* (sqrt (cbrt (+ f n))) (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 70 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* f f) (- (* n n) (* f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n (- f n)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (/ (* (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3)))) (cbrt (- (* f f) (* n (- f n)))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 72 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- f 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 (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (/ (* (cbrt (+ f n)) (cbrt (- (* f f) (* n n)))) (cbrt (- f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 73 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ f n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (/ (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ n f))) (cbrt (+ (* f f) (- (* n n) (* f n)))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 74 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* f f) (* n n))) (cbrt (+ f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (* (cbrt (+ f n)) (cbrt (- (* f f) (* n n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (/ (* (cbrt (+ f n)) (cbrt (- (* f f) (* n n)))) (cbrt (- f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 75 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n)))))) * * * * [misc]progress: [ 77 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (pow (/ 1 f) -1/3)))) * * * * [misc]progress: [ 78 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt f)))) * * * * [misc]progress: [ 79 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (cbrt (+ f n)) (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 80 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (cbrt (+ f n)) (pow (/ 1 f) -1/3))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 81 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (cbrt (+ f n)) (cbrt f))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 82 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (* (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 83 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (* (pow (/ 1 f) -1/3) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 84 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (* (cbrt f) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 85 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/3 (* (pow (/ 1 n) 1/3) f)) (pow n 2/3)) (* 1/9 (* (pow (/ 1 (pow n 4)) 1/3) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (* f f) -1/9) (cbrt (/ 1 (pow n 4)))) (+ (* (* 2/3 f) (cbrt (/ 1 n))) (pow n 2/3))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (/ (- (+ (* (* (* f f) -1/9) (cbrt (/ 1 (pow n 4)))) (+ (* (* 2/3 f) (cbrt (/ 1 n))) (pow n 2/3)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 86 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow f 2) 1/3) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (* f f)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (/ (- (cbrt (* f f))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 87 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp (* 1/3 (- (log -1) (log (/ -1 f))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (pow f 2/3) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (/ (- (pow f 2/3)) (/ (- f n) (cbrt (+ f n))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (log (exp (cbrt (+ f n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (cbrt (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ f n))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]backup-simplify: Simplify (exp (pow f 1/3)) into (exp (pow f 1/3)) * [misc]backup-simplify: Simplify (log (exp (pow f 1/3))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (log (exp (cbrt (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ f n))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]backup-simplify: Simplify (exp (pow n 1/3)) into (exp (pow n 1/3)) * [misc]backup-simplify: Simplify (log (exp (pow n 1/3))) into (pow n 1/3) * [misc]taylor: Taking taylor expansion of (log (exp (cbrt (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ f n))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]backup-simplify: Simplify (exp (pow n 1/3)) into (exp (pow n 1/3)) * [misc]backup-simplify: Simplify (log (exp (pow n 1/3))) 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]backup-simplify: Simplify (* (exp (pow n 1/3)) (+ (* (/ (pow (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) 1) 1)))) into (* 1/3 (* (exp (pow n 1/3)) (pow (/ 1 (pow n 2)) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (* (exp (pow n 1/3)) (pow (/ 1 (pow n 2)) 1/3)))) 1)) (pow (exp (pow n 1/3)) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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]backup-simplify: Simplify (* (exp (pow n 1/3)) (+ (* (/ (pow (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) 2) 2)) (* (/ (pow (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) 1) 1)))) into (* (exp (pow n 1/3)) (- (* 1/18 (pow (/ 1 (pow n 4)) 1/3)) (* 1/9 (pow (/ 1 (pow n 5)) 1/3)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (* (exp (pow n 1/3)) (pow (/ 1 (pow n 2)) 1/3)))) 2)) (pow (exp (pow n 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (pow n 1/3)) (- (* 1/18 (pow (/ 1 (pow n 4)) 1/3)) (* 1/9 (pow (/ 1 (pow n 5)) 1/3))))) 1)) (pow (exp (pow n 1/3)) 1)))) 2) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (log (exp (cbrt (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (cbrt (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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]backup-simplify: Simplify (exp (pow n -1/3)) into (exp (pow n -1/3)) * [misc]backup-simplify: Simplify (log (exp (pow n -1/3))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (log (exp (cbrt (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (exp (pow f -1/3)) into (exp (pow f -1/3)) * [misc]backup-simplify: Simplify (log (exp (pow f -1/3))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (log (exp (cbrt (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (exp (pow f -1/3)) into (exp (pow f -1/3)) * [misc]backup-simplify: Simplify (log (exp (pow f -1/3))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]backup-simplify: Simplify (* (exp (pow f -1/3)) (+ (* (/ (pow (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) 1) 1)))) into (* 1/3 (* (/ (exp (pow f -1/3)) n) (pow (/ 1 f) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (* (/ (exp (pow f -1/3)) n) (pow (/ 1 f) 1/3)))) 1)) (pow (exp (pow f -1/3)) 1)))) 1) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 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 f) 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 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]backup-simplify: Simplify (* (exp (pow f -1/3)) (+ (* (/ (pow (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) 2) 2)) (* (/ (pow (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) 1) 1)))) into (* (exp (pow f -1/3)) (- (* 1/18 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/3))) (* 1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (* (/ (exp (pow f -1/3)) n) (pow (/ 1 f) 1/3)))) 2)) (pow (exp (pow f -1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (pow f -1/3)) (- (* 1/18 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/3))) (* 1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))))) 1)) (pow (exp (pow f -1/3)) 1)))) 2) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (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 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]backup-simplify: Simplify (* (exp (pow f -1/3)) (+ (* (/ (pow (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) 3) 6)) (* (/ (pow (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) 1) 1) (/ (pow (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) 1) 1)) (* (/ (pow (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) 1) 1)))) into (* (exp (pow f -1/3)) (- (+ (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) (* 1/162 (/ 1 (* (pow n 3) f)))) (* 1/27 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/3))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (* (/ (exp (pow f -1/3)) n) (pow (/ 1 f) 1/3)))) 3)) (pow (exp (pow f -1/3)) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (* (/ (exp (pow f -1/3)) n) (pow (/ 1 f) 1/3)))) 1) (pow (* 2 (* (exp (pow f -1/3)) (- (* 1/18 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/3))) (* 1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))))) 1)) (pow (exp (pow f -1/3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (exp (pow f -1/3)) (- (+ (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) (* 1/162 (/ 1 (* (pow n 3) f)))) (* 1/27 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/3)))))) 1)) (pow (exp (pow f -1/3)) 1)))) 6) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) * [misc]approximate: Taking taylor expansion of (log (exp (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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]backup-simplify: Simplify (exp (exp (* 1/3 (- (log -1) (log n))))) into (exp (exp (* 1/3 (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (log (exp (exp (* 1/3 (- (log -1) (log n)))))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (log (exp (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (exp (* 1/3 (- (log -1) (log f))))) into (exp (exp (* 1/3 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (log (exp (exp (* 1/3 (- (log -1) (log f)))))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (log (exp (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (exp (* 1/3 (- (log -1) (log f))))) into (exp (exp (* 1/3 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (log (exp (exp (* 1/3 (- (log -1) (log f)))))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]backup-simplify: Simplify (* (exp (exp (* 1/3 (- (log -1) (log f))))) (+ (* (/ (pow (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) 1) 1)))) into (* 1/3 (/ (* (exp (exp (* 1/3 (- (log -1) (log f))))) (exp (* 1/3 (- (log -1) (log f))))) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (* (exp (exp (* 1/3 (- (log -1) (log f))))) (exp (* 1/3 (- (log -1) (log f))))) n))) 1)) (pow (exp (exp (* 1/3 (- (log -1) (log f))))) 1)))) 1) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) 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 f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking 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 f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) 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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (exp (* 1/3 (- (log -1) (log f))))) (+ (* (/ (pow (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) 2) 2)) (* (/ (pow (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) 1) 1)))) into (* (- (* 1/18 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (pow n 2))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)))) (exp (exp (* 1/3 (- (log -1) (log f)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (/ (* (exp (exp (* 1/3 (- (log -1) (log f))))) (exp (* 1/3 (- (log -1) (log f))))) n))) 2)) (pow (exp (exp (* 1/3 (- (log -1) (log f))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- (* 1/18 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (pow n 2))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)))) (exp (exp (* 1/3 (- (log -1) (log f))))))) 1)) (pow (exp (exp (* 1/3 (- (log -1) (log f))))) 1)))) 2) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (exp (* 1/3 (- (log -1) (log f))))) (+ (* (/ (pow (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) 3) 6)) (* (/ (pow (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) 1) 1) (/ (pow (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) 1) 1)) (* (/ (pow (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) 1) 1)))) into (* (- (+ (* 1/162 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 3) (pow n 3))) (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3)))) (* 1/27 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (pow n 3)))) (exp (exp (* 1/3 (- (log -1) (log f)))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (/ (* (exp (exp (* 1/3 (- (log -1) (log f))))) (exp (* 1/3 (- (log -1) (log f))))) n))) 3)) (pow (exp (exp (* 1/3 (- (log -1) (log f))))) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (/ (* (exp (exp (* 1/3 (- (log -1) (log f))))) (exp (* 1/3 (- (log -1) (log f))))) n))) 1) (pow (* 2 (* (- (* 1/18 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (pow n 2))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)))) (exp (exp (* 1/3 (- (log -1) (log f))))))) 1)) (pow (exp (exp (* 1/3 (- (log -1) (log f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (- (+ (* 1/162 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 3) (pow n 3))) (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3)))) (* 1/27 (/ (pow (exp (* 1/3 (- (log -1) (log f)))) 2) (pow n 3)))) (exp (exp (* 1/3 (- (log -1) (log f))))))) 1)) (pow (exp (exp (* 1/3 (- (log -1) (log f))))) 1)))) 6) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) 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 f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 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 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 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 f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- f)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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 (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 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 f) 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 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (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 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) 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 f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking 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 f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) 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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) 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 f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 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 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 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 f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- f)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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 (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 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 f) 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 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (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 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) 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 f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking 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 f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) 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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) 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 f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 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 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 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 f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- f)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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 (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 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 f) 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 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (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 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) 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 f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking 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 f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) 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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) 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 f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 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 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 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 f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- f)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (cbrt (+ f n)))) (cbrt (exp (cbrt (+ f n)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (exp (cbrt (+ n f)))) (cbrt (exp (cbrt (+ n f)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (+ (log (* (cbrt (exp (cbrt (+ n f)))) (cbrt (exp (cbrt (+ n f)))))) (log (cbrt (exp (cbrt (+ f n)))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 2 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (cbrt (+ f n))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (cbrt (+ n f))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (+ (log (sqrt (exp (cbrt (+ n f))))) (log (sqrt (exp (cbrt (+ f n)))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 3 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (+ 0 (log (exp (cbrt (+ f n))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 4 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ n f))) (log (exp (cbrt (* (cbrt (+ f n)) (cbrt (+ f n))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 6 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (* (cbrt (sqrt (+ n f))) (log (exp (cbrt (sqrt (+ f n)))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 7 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n f)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (* (cbrt (+ n f)) (log (exp (cbrt 1)))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 8 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 9 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (* (sqrt (cbrt (+ n f))) (log (exp (sqrt (cbrt (+ f n)))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 10 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n f)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (* (cbrt (+ n f)) (log (exp 1))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 11 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n f) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (/ (- (* (cbrt (+ n f)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 13 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (cbrt (+ f n)))) (/ (- f n) (* (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (cbrt (+ f n))))))) * * * * [misc]progress: [ 24 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (cbrt (+ f n)))) (/ (- f n) (* (cbrt (sqrt (+ n f))) (cbrt (sqrt (+ f n))))))) * * * * [misc]progress: [ 25 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (cbrt (+ f n)))) (/ (- f n) (* 1 (cbrt (+ f n)))))) * * * * [misc]progress: [ 26 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (cbrt (+ f n)))) (/ (- f n) (/ (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))))))) * * * * [misc]progress: [ 27 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* f f) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n n))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (cbrt (+ f n)))) (/ (- f n) (/ (cbrt (- (* f f) (* n n))) (cbrt (- f n)))))) * * * * [misc]progress: [ 28 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (* (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (cbrt (+ f n)))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 37 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (* (cbrt (sqrt (+ n f))) (cbrt (sqrt (+ f n)))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 38 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (* 1 (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 39 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (/ (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n))))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 40 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* f f) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (/ (cbrt (- (* f f) (* n n))) (cbrt (- f n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 41 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (f n) (/ (- (* (log (exp (* (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (cbrt (+ f n)))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 50 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (f n) (/ (- (* (log (exp (* (cbrt (sqrt (+ n f))) (cbrt (sqrt (+ f n)))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 51 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (f n) (/ (- (* (log (exp (* 1 (cbrt (+ f n))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 52 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (f n) (/ (- (* (log (exp (/ (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 53 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* f f) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n n))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (f n) (/ (- (* (log (exp (/ (cbrt (- (* f f) (* n n))) (cbrt (- f n))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 54 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (* (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 59 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (* (pow (/ 1 f) -1/3) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 60 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (/ (- (* (cbrt f) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 61 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (cbrt (+ f n)))) (/ (- f n) (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n)))))) * * * * [misc]progress: [ 62 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (cbrt (+ f n)))) (/ (- f n) (pow (/ 1 f) -1/3)))) * * * * [misc]progress: [ 63 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (cbrt (+ f n)))) (/ (- f n) (cbrt f)))) * * * * [misc]progress: [ 64 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 65 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (pow (/ 1 f) -1/3))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 66 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (log (exp (cbrt (+ f n)))) (cbrt f))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 67 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (/ (- (* (log (exp (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 68 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (/ (- (* (log (exp (pow (/ 1 f) -1/3))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 69 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (/ (- (* (log (exp (cbrt f))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2 1 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))))) in n * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ f n))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ f 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 (cbrt (+ f n))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]backup-simplify: Simplify (log (pow f 1/3)) into (log (pow f 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow f 1/3))) into (* 1/3 (log (pow f 1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow f 1/3)))) into (pow (pow f 1/3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ f n))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ f 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 (cbrt (+ f n))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]backup-simplify: Simplify (log (pow f 1/3)) into (log (pow f 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow f 1/3))) into (* 1/3 (log (pow f 1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow f 1/3)))) into (pow (pow f 1/3) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow f 1/3) 1/3) (pow (pow f 1/3) 1/3)) into (pow (pow f 2) 1/9) * [misc]backup-simplify: Simplify (exp (pow (pow f 2) 1/9)) into (exp (pow (pow f 2) 1/9)) * [misc]backup-simplify: Simplify (log (exp (pow (pow f 2) 1/9))) into (pow (pow f 2) 1/9) * [misc]taylor: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))) in f * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ f n))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ f n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ f n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ f n))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]backup-simplify: Simplify (log (pow n 1/3)) into (log (pow n 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow n 1/3))) into (* 1/3 (log (pow n 1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow n 1/3)))) into (pow (pow n 1/3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ f n))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ f n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ f n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ f n))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]backup-simplify: Simplify (log (pow n 1/3)) into (log (pow n 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow n 1/3))) into (* 1/3 (log (pow n 1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow n 1/3)))) into (pow (pow n 1/3) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow n 1/3) 1/3) (pow (pow n 1/3) 1/3)) into (pow (pow n 2) 1/9) * [misc]backup-simplify: Simplify (exp (pow (pow n 2) 1/9)) into (exp (pow (pow n 2) 1/9)) * [misc]backup-simplify: Simplify (log (exp (pow (pow n 2) 1/9))) into (pow (pow n 2) 1/9) * [misc]taylor: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))) in f * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ f n))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ f n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ f n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ f n))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]backup-simplify: Simplify (log (pow n 1/3)) into (log (pow n 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow n 1/3))) into (* 1/3 (log (pow n 1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow n 1/3)))) into (pow (pow n 1/3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ f n))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ f n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ f n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ f n))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]backup-simplify: Simplify (log (pow n 1/3)) into (log (pow n 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow n 1/3))) into (* 1/3 (log (pow n 1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow n 1/3)))) into (pow (pow n 1/3) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow n 1/3) 1/3) (pow (pow n 1/3) 1/3)) into (pow (pow n 2) 1/9) * [misc]backup-simplify: Simplify (exp (pow (pow n 2) 1/9)) into (exp (pow (pow n 2) 1/9)) * [misc]backup-simplify: Simplify (log (exp (pow (pow n 2) 1/9))) into (pow (pow n 2) 1/9) * [misc]taylor: Taking taylor expansion of (pow (pow n 2) 1/9) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (log (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 (log (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log n)) 0) into (* 2 (log n)) * [misc]backup-simplify: Simplify (* 1/9 (* 2 (log n))) into (* 2/9 (log n)) * [misc]backup-simplify: Simplify (exp (* 2/9 (log n))) into (pow n 2/9) * [misc]backup-simplify: Simplify (pow n 2/9) into (pow n 2/9) * [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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (pow n 2)) 1/3))) 1)) (pow (pow n 1/3) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 n)) (* 0 (log (pow n 1/3)))) into (* 1/9 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow n 1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 1) 1)))) into (* 1/9 (pow (/ 1 (pow n 8)) 1/9)) * [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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (pow n 2)) 1/3))) 1)) (pow (pow n 1/3) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 n)) (* 0 (log (pow n 1/3)))) into (* 1/9 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow n 1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 1) 1)))) into (* 1/9 (pow (/ 1 (pow n 8)) 1/9)) * [misc]backup-simplify: Simplify (+ (* (pow (pow n 1/3) 1/3) (* 1/9 (pow (/ 1 (pow n 8)) 1/9))) (* (* 1/9 (pow (/ 1 (pow n 8)) 1/9)) (pow (pow n 1/3) 1/3))) into (* 2/9 (pow (/ 1 (pow n 7)) 1/9)) * [misc]backup-simplify: Simplify (* (exp (pow (pow n 2) 1/9)) (+ (* (/ (pow (* 2/9 (pow (/ 1 (pow n 7)) 1/9)) 1) 1)))) into (* 2/9 (* (exp (pow (pow n 2) 1/9)) (pow (/ 1 (pow n 7)) 1/9))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2/9 (* (exp (pow (pow n 2) 1/9)) (pow (/ 1 (pow n 7)) 1/9)))) 1)) (pow (exp (pow (pow n 2) 1/9)) 1)))) 1) into (* 2/9 (pow (/ 1 (pow n 7)) 1/9)) * [misc]taylor: Taking taylor expansion of (* 2/9 (pow (/ 1 (pow n 7)) 1/9)) in n * [misc]taylor: Taking taylor expansion of 2/9 in n * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 7)) 1/9) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow n 7))))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow n 7)))) 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 (log (/ 1 (pow n 7))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 7)) in n * [misc]taylor: Taking taylor expansion of (pow n 7) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log n)) 0) into (- (* 7 (log n))) * [misc]backup-simplify: Simplify (* 1/9 (- (* 7 (log n)))) into (* -7/9 (log n)) * [misc]backup-simplify: Simplify (exp (* -7/9 (log n))) into (pow n -7/9) * [misc]backup-simplify: Simplify (* 2/9 (pow n -7/9)) into (* 2/9 (pow (/ 1 (pow n 7)) 1/9)) * [misc]backup-simplify: Simplify (* 2/9 (pow (/ 1 (pow n 7)) 1/9)) into (* 2/9 (pow (/ 1 (pow n 7)) 1/9)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log n)) 0) into (* 2 (log n)) * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (* 2 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/9 (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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (pow n 2)) 1/3))) 2)) (pow (pow n 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (pow n 5)) 1/3))) 1)) (pow (pow n 1/3) 1)))) 2) into (/ -1/6 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/6 (pow n 2))) (+ (* 0 (/ 1/3 n)) (* 0 (log (pow n 1/3))))) into (- (* 1/18 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow n 1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow n 2)))) 1) 1)))) into (* -4/81 (pow (/ 1 (pow n 17)) 1/9)) * [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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (pow n 2)) 1/3))) 2)) (pow (pow n 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (pow n 5)) 1/3))) 1)) (pow (pow n 1/3) 1)))) 2) into (/ -1/6 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/6 (pow n 2))) (+ (* 0 (/ 1/3 n)) (* 0 (log (pow n 1/3))))) into (- (* 1/18 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow n 1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow n 2)))) 1) 1)))) into (* -4/81 (pow (/ 1 (pow n 17)) 1/9)) * [misc]backup-simplify: Simplify (+ (* (pow (pow n 1/3) 1/3) (* -4/81 (pow (/ 1 (pow n 17)) 1/9))) (+ (* (* 1/9 (pow (/ 1 (pow n 8)) 1/9)) (* 1/9 (pow (/ 1 (pow n 8)) 1/9))) (* (* -4/81 (pow (/ 1 (pow n 17)) 1/9)) (pow (pow n 1/3) 1/3)))) into (- (* 7/81 (pow (/ 1 (pow n 16)) 1/9))) * [misc]backup-simplify: Simplify (* (exp (pow (pow n 2) 1/9)) (+ (* (/ (pow (* 2/9 (pow (/ 1 (pow n 7)) 1/9)) 2) 2)) (* (/ (pow (- (* 7/81 (pow (/ 1 (pow n 16)) 1/9))) 1) 1)))) into (* (exp (pow (pow n 2) 1/9)) (- (* 2/81 (pow (/ 1 (pow n 14)) 1/9)) (* 7/81 (pow (/ 1 (pow n 16)) 1/9)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2/9 (* (exp (pow (pow n 2) 1/9)) (pow (/ 1 (pow n 7)) 1/9)))) 2)) (pow (exp (pow (pow n 2) 1/9)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (pow (pow n 2) 1/9)) (- (* 2/81 (pow (/ 1 (pow n 14)) 1/9)) (* 7/81 (pow (/ 1 (pow n 16)) 1/9))))) 1)) (pow (exp (pow (pow n 2) 1/9)) 1)))) 2) into (* -7/81 (pow (/ 1 (pow n 16)) 1/9)) * [misc]taylor: Taking taylor expansion of (* -7/81 (pow (/ 1 (pow n 16)) 1/9)) in n * [misc]taylor: Taking taylor expansion of -7/81 in n * [misc]backup-simplify: Simplify -7/81 into -7/81 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 16)) 1/9) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow n 16))))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow n 16)))) 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 (log (/ 1 (pow n 16))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 16)) in n * [misc]taylor: Taking taylor expansion of (pow n 16) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 16) (log n)) 0) into (- (* 16 (log n))) * [misc]backup-simplify: Simplify (* 1/9 (- (* 16 (log n)))) into (* -16/9 (log n)) * [misc]backup-simplify: Simplify (exp (* -16/9 (log n))) into (pow n -16/9) * [misc]backup-simplify: Simplify (* -7/81 (pow n -16/9)) into (* -7/81 (pow (/ 1 (pow n 16)) 1/9)) * [misc]backup-simplify: Simplify (* -7/81 (pow (/ 1 (pow n 16)) 1/9)) into (* -7/81 (pow (/ 1 (pow n 16)) 1/9)) * [misc]backup-simplify: Simplify (+ (* (* -7/81 (pow (/ 1 (pow n 16)) 1/9)) (pow (* 1 f) 2)) (+ (* (* 2/9 (pow (/ 1 (pow n 7)) 1/9)) (* 1 f)) (pow n 2/9))) into (- (+ (* 2/9 (* (pow (/ 1 (pow n 7)) 1/9) f)) (pow n 2/9)) (* 7/81 (* (pow (/ 1 (pow n 16)) 1/9) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) (cbrt (cbrt (+ (/ 1 f) (/ 1 n))))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) (cbrt (cbrt (+ (/ 1 f) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) (cbrt (cbrt (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 f) (/ 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 (cbrt (+ (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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]backup-simplify: Simplify (log (pow n -1/3)) into (log (pow n -1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow n -1/3))) into (* 1/3 (log (pow n -1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow n -1/3)))) into (pow (pow n -1/3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 f) (/ 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 (cbrt (+ (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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]backup-simplify: Simplify (log (pow n -1/3)) into (log (pow n -1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow n -1/3))) into (* 1/3 (log (pow n -1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow n -1/3)))) into (pow (pow n -1/3) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow n -1/3) 1/3) (pow (pow n -1/3) 1/3)) into (pow (/ 1 (pow n 2)) 1/9) * [misc]backup-simplify: Simplify (exp (pow (/ 1 (pow n 2)) 1/9)) into (exp (pow (/ 1 (pow n 2)) 1/9)) * [misc]backup-simplify: Simplify (log (exp (pow (/ 1 (pow n 2)) 1/9))) into (pow (/ 1 (pow n 2)) 1/9) * [misc]taylor: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) (cbrt (cbrt (+ (/ 1 f) (/ 1 n))))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) (cbrt (cbrt (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (log (pow f -1/3)) into (log (pow f -1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow f -1/3))) into (* 1/3 (log (pow f -1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow f -1/3)))) into (pow (pow f -1/3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (log (pow f -1/3)) into (log (pow f -1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow f -1/3))) into (* 1/3 (log (pow f -1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow f -1/3)))) into (pow (pow f -1/3) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow f -1/3) 1/3) (pow (pow f -1/3) 1/3)) into (pow (/ 1 (pow f 2)) 1/9) * [misc]backup-simplify: Simplify (exp (pow (/ 1 (pow f 2)) 1/9)) into (exp (pow (/ 1 (pow f 2)) 1/9)) * [misc]backup-simplify: Simplify (log (exp (pow (/ 1 (pow f 2)) 1/9))) into (pow (/ 1 (pow f 2)) 1/9) * [misc]taylor: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) (cbrt (cbrt (+ (/ 1 f) (/ 1 n))))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) (cbrt (cbrt (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (log (pow f -1/3)) into (log (pow f -1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow f -1/3))) into (* 1/3 (log (pow f -1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow f -1/3)))) into (pow (pow f -1/3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (log (pow f -1/3)) into (log (pow f -1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow f -1/3))) into (* 1/3 (log (pow f -1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow f -1/3)))) into (pow (pow f -1/3) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow f -1/3) 1/3) (pow (pow f -1/3) 1/3)) into (pow (/ 1 (pow f 2)) 1/9) * [misc]backup-simplify: Simplify (exp (pow (/ 1 (pow f 2)) 1/9)) into (exp (pow (/ 1 (pow f 2)) 1/9)) * [misc]backup-simplify: Simplify (log (exp (pow (/ 1 (pow f 2)) 1/9))) into (pow (/ 1 (pow f 2)) 1/9) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/9) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow f 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow f 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 (log (/ 1 (pow f 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in n * [misc]taylor: Taking taylor expansion of (pow f 2) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (* f f) into (pow f 2) * [misc]backup-simplify: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow f 2))) into (log (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (* 1/9 (log (/ 1 (pow f 2)))) into (* 1/9 (log (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (exp (* 1/9 (log (/ 1 (pow f 2))))) into (pow (/ 1 (pow f 2)) 1/9) * [misc]backup-simplify: Simplify (pow (/ 1 (pow f 2)) 1/9) into (pow (/ 1 (pow f 2)) 1/9) * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) 1)) (pow (pow f -1/3) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 n)) (* 0 (log (pow f -1/3)))) into (* 1/9 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow f -1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 1) 1)))) into (* 1/9 (* (/ 1 n) (pow (/ 1 f) 1/9))) * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) 1)) (pow (pow f -1/3) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 n)) (* 0 (log (pow f -1/3)))) into (* 1/9 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow f -1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 1) 1)))) into (* 1/9 (* (/ 1 n) (pow (/ 1 f) 1/9))) * [misc]backup-simplify: Simplify (+ (* (pow (pow f -1/3) 1/3) (* 1/9 (* (/ 1 n) (pow (/ 1 f) 1/9)))) (* (* 1/9 (* (/ 1 n) (pow (/ 1 f) 1/9))) (pow (pow f -1/3) 1/3))) into (* 2/9 (* (/ 1 n) (pow (/ 1 (pow f 2)) 1/9))) * [misc]backup-simplify: Simplify (* (exp (pow (/ 1 (pow f 2)) 1/9)) (+ (* (/ (pow (* 2/9 (* (/ 1 n) (pow (/ 1 (pow f 2)) 1/9))) 1) 1)))) into (* 2/9 (* (/ (exp (pow (/ 1 (pow f 2)) 1/9)) n) (pow (/ 1 (pow f 2)) 1/9))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2/9 (* (/ (exp (pow (/ 1 (pow f 2)) 1/9)) n) (pow (/ 1 (pow f 2)) 1/9)))) 1)) (pow (exp (pow (/ 1 (pow f 2)) 1/9)) 1)))) 1) into (* 2/9 (* (/ 1 n) (pow (/ 1 (pow f 2)) 1/9))) * [misc]taylor: Taking taylor expansion of (* 2/9 (* (/ 1 n) (pow (/ 1 (pow f 2)) 1/9))) in n * [misc]taylor: Taking taylor expansion of 2/9 in n * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 (pow f 2)) 1/9)) 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 (pow f 2)) 1/9) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow f 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow f 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 (log (/ 1 (pow f 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in n * [misc]taylor: Taking taylor expansion of (pow f 2) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (* f f) into (pow f 2) * [misc]backup-simplify: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow f 2))) into (log (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (* 1/9 (log (/ 1 (pow f 2)))) into (* 1/9 (log (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (exp (* 1/9 (log (/ 1 (pow f 2))))) into (pow (/ 1 (pow f 2)) 1/9) * [misc]backup-simplify: Simplify (+ (* f 0) (* 0 f)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow f 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow f 2)) 1/9))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (pow f 2)) 1/9)) into (pow (/ 1 (pow f 2)) 1/9) * [misc]backup-simplify: Simplify (+ (* 2/9 0) (* 0 (pow (/ 1 (pow f 2)) 1/9))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* f 0) (* 0 f)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow f 2))))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) 2)) (pow (pow f -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))) 1)) (pow (pow f -1/3) 1)))) 2) into (/ -1/6 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/6 (pow n 2))) (+ (* 0 (/ 1/3 n)) (* 0 (log (pow f -1/3))))) into (- (* 1/18 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow f -1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow n 2)))) 1) 1)))) into (* -4/81 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/9))) * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) 2)) (pow (pow f -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))) 1)) (pow (pow f -1/3) 1)))) 2) into (/ -1/6 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/6 (pow n 2))) (+ (* 0 (/ 1/3 n)) (* 0 (log (pow f -1/3))))) into (- (* 1/18 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow f -1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow n 2)))) 1) 1)))) into (* -4/81 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/9))) * [misc]backup-simplify: Simplify (+ (* (pow (pow f -1/3) 1/3) (* -4/81 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/9)))) (+ (* (* 1/9 (* (/ 1 n) (pow (/ 1 f) 1/9))) (* 1/9 (* (/ 1 n) (pow (/ 1 f) 1/9)))) (* (* -4/81 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/9))) (pow (pow f -1/3) 1/3)))) into (- (* 7/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/9)))) * [misc]backup-simplify: Simplify (* (exp (pow (/ 1 (pow f 2)) 1/9)) (+ (* (/ (pow (* 2/9 (* (/ 1 n) (pow (/ 1 (pow f 2)) 1/9))) 2) 2)) (* (/ (pow (- (* 7/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/9)))) 1) 1)))) into (* (exp (pow (/ 1 (pow f 2)) 1/9)) (- (* 2/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 4)) 1/9))) (* 7/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/9))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2/9 (* (/ (exp (pow (/ 1 (pow f 2)) 1/9)) n) (pow (/ 1 (pow f 2)) 1/9)))) 2)) (pow (exp (pow (/ 1 (pow f 2)) 1/9)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (pow (/ 1 (pow f 2)) 1/9)) (- (* 2/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 4)) 1/9))) (* 7/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/9)))))) 1)) (pow (exp (pow (/ 1 (pow f 2)) 1/9)) 1)))) 2) into (* -7/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/9))) * [misc]taylor: Taking taylor expansion of (* -7/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/9))) in n * [misc]taylor: Taking taylor expansion of -7/81 in n * [misc]backup-simplify: Simplify -7/81 into -7/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/9)) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/9) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow f 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow f 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 (log (/ 1 (pow f 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in n * [misc]taylor: Taking taylor expansion of (pow f 2) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (* f f) into (pow f 2) * [misc]backup-simplify: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow f 2))) into (log (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (* 1/9 (log (/ 1 (pow f 2)))) into (* 1/9 (log (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (exp (* 1/9 (log (/ 1 (pow f 2))))) into (pow (/ 1 (pow f 2)) 1/9) * [misc]backup-simplify: Simplify (+ (* f 0) (* 0 f)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* f 0) (+ (* 0 0) (* 0 f))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))) (* 0 (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow f 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow f 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow f 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow f 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow f 2)) 1/9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow f 2)) 1/9))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (pow f 2)) 1/9)) into (pow (/ 1 (pow f 2)) 1/9) * [misc]backup-simplify: Simplify (+ (* -7/81 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow f 2)) 1/9)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* f 0) (+ (* 0 0) (* 0 f))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))) (* 0 (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow f 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow f 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow f 2))))) (+ (* (/ (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 (pow f 2)) 1/9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow f 2)) 1/9)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* f 0) (+ (* 0 0) (* 0 f))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))) (* 0 (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow f 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow f 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow f 2))))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) 3)) (pow (pow f -1/3) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) 1) (pow (* 2 (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))) 1)) (pow (pow f -1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)))) 1)) (pow (pow f -1/3) 1)))) 6) into (/ 1/9 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/9 (pow n 3))) (+ (* 0 (/ -1/6 (pow n 2))) (+ (* 0 (/ 1/3 n)) (* 0 (log (pow f -1/3)))))) into (* 1/27 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow f -1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/9 (/ 1 n)) 1) 1) (/ (pow (- (* 1/18 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/27 (/ 1 (pow n 3))) 1) 1)))) into (* 68/2187 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/9))) * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) 3)) (pow (pow f -1/3) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) 1) (pow (* 2 (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))) 1)) (pow (pow f -1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)))) 1)) (pow (pow f -1/3) 1)))) 6) into (/ 1/9 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/9 (pow n 3))) (+ (* 0 (/ -1/6 (pow n 2))) (+ (* 0 (/ 1/3 n)) (* 0 (log (pow f -1/3)))))) into (* 1/27 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow f -1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/9 (/ 1 n)) 1) 1) (/ (pow (- (* 1/18 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/27 (/ 1 (pow n 3))) 1) 1)))) into (* 68/2187 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/9))) * [misc]backup-simplify: Simplify (+ (* (pow (pow f -1/3) 1/3) (* 68/2187 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/9)))) (+ (* (* 1/9 (* (/ 1 n) (pow (/ 1 f) 1/9))) (* -4/81 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/9)))) (+ (* (* -4/81 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/9))) (* 1/9 (* (/ 1 n) (pow (/ 1 f) 1/9)))) (* (* 68/2187 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/9))) (pow (pow f -1/3) 1/3))))) into (* 112/2187 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/9))) * [misc]backup-simplify: Simplify (* (exp (pow (/ 1 (pow f 2)) 1/9)) (+ (* (/ (pow (* 2/9 (* (/ 1 n) (pow (/ 1 (pow f 2)) 1/9))) 3) 6)) (* (/ (pow (* 2/9 (* (/ 1 n) (pow (/ 1 (pow f 2)) 1/9))) 1) 1) (/ (pow (- (* 7/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/9)))) 1) 1)) (* (/ (pow (* 112/2187 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/9))) 1) 1)))) into (* (- (+ (* 112/2187 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/9))) (* 4/2187 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/3)))) (* 14/729 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 4)) 1/9)))) (exp (pow (/ 1 (pow f 2)) 1/9))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2/9 (* (/ (exp (pow (/ 1 (pow f 2)) 1/9)) n) (pow (/ 1 (pow f 2)) 1/9)))) 3)) (pow (exp (pow (/ 1 (pow f 2)) 1/9)) 3))) (* -3 (/ (* (pow (* 1 (* 2/9 (* (/ (exp (pow (/ 1 (pow f 2)) 1/9)) n) (pow (/ 1 (pow f 2)) 1/9)))) 1) (pow (* 2 (* (exp (pow (/ 1 (pow f 2)) 1/9)) (- (* 2/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 4)) 1/9))) (* 7/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/9)))))) 1)) (pow (exp (pow (/ 1 (pow f 2)) 1/9)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (- (+ (* 112/2187 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/9))) (* 4/2187 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/3)))) (* 14/729 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 4)) 1/9)))) (exp (pow (/ 1 (pow f 2)) 1/9)))) 1)) (pow (exp (pow (/ 1 (pow f 2)) 1/9)) 1)))) 6) into (* 112/2187 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/9))) * [misc]taylor: Taking taylor expansion of (* 112/2187 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/9))) in n * [misc]taylor: Taking taylor expansion of 112/2187 in n * [misc]backup-simplify: Simplify 112/2187 into 112/2187 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/9)) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/9) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow f 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow f 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 (log (/ 1 (pow f 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in n * [misc]taylor: Taking taylor expansion of (pow f 2) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (* f f) into (pow f 2) * [misc]backup-simplify: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow f 2))) into (log (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (* 1/9 (log (/ 1 (pow f 2)))) into (* 1/9 (log (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (exp (* 1/9 (log (/ 1 (pow f 2))))) into (pow (/ 1 (pow f 2)) 1/9) * [misc]backup-simplify: Simplify (+ (* f 0) (* 0 f)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* f 0) (+ (* 0 0) (* 0 f))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))) (* 0 (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow f 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow f 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* f 0) (+ (* 0 0) (+ (* 0 0) (* 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow f 2)) (/ 0 (pow f 2))) (* 0 (/ 0 (pow f 2))) (* 0 (/ 0 (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow f 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow f 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow f 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow f 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow f 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow f 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow f 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow f 2)) 1/9))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow f 2)) 1/9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow f 2)) 1/9))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (pow f 2)) 1/9)) into (pow (/ 1 (pow f 2)) 1/9) * [misc]backup-simplify: Simplify (+ (* 112/2187 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow f 2)) 1/9))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (pow (/ 1 f) 2)) 1/9) into (pow (pow f 2) 1/9) * [misc]approximate: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))))) in n * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 (- f)) (/ 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 (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log n))))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (* 1/3 (- (log -1) (log n)))) into (* 1/9 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/9 (- (log -1) (log n)))) into (exp (* 1/9 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 (- f)) (/ 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 (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log n))))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (* 1/3 (* 1/3 (- (log -1) (log n)))) into (* 1/9 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/9 (- (log -1) (log n)))) into (exp (* 1/9 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (exp (* 1/9 (- (log -1) (log n))))) into (pow (exp (* 1/9 (- (log -1) (log n)))) 2) * [misc]backup-simplify: Simplify (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) into (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) * [misc]backup-simplify: Simplify (log (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2))) into (pow (exp (* 1/9 (- (log -1) (log n)))) 2) * [misc]taylor: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log f))))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (* 1/3 (* 1/3 (- (log -1) (log f)))) into (* 1/9 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/9 (- (log -1) (log f)))) into (exp (* 1/9 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log f))))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (* 1/3 (* 1/3 (- (log -1) (log f)))) into (* 1/9 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/9 (- (log -1) (log f)))) into (exp (* 1/9 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (exp (* 1/9 (- (log -1) (log f))))) into (pow (exp (* 1/9 (- (log -1) (log f)))) 2) * [misc]backup-simplify: Simplify (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) into (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) * [misc]backup-simplify: Simplify (log (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2))) into (pow (exp (* 1/9 (- (log -1) (log f)))) 2) * [misc]taylor: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log f))))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (* 1/3 (* 1/3 (- (log -1) (log f)))) into (* 1/9 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/9 (- (log -1) (log f)))) into (exp (* 1/9 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log f))))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (* 1/3 (* 1/3 (- (log -1) (log f)))) into (* 1/9 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/9 (- (log -1) (log f)))) into (exp (* 1/9 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (exp (* 1/9 (- (log -1) (log f))))) into (pow (exp (* 1/9 (- (log -1) (log f)))) 2) * [misc]backup-simplify: Simplify (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) into (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) * [misc]backup-simplify: Simplify (log (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2))) into (pow (exp (* 1/9 (- (log -1) (log f)))) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/9 (- (log -1) (log f)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (- (log -1) (log f))) 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 (- (log -1) (log f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/9 (- (log -1) (log f))) into (* 1/9 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/9 (- (log -1) (log f)))) into (exp (* 1/9 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (exp (* 1/9 (- (log -1) (log f))))) into (pow (exp (* 1/9 (- (log -1) (log f)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/9 (- (log -1) (log f)))) 2) into (pow (exp (* 1/9 (- (log -1) (log f)))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n))) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 n)) (* 0 (* 1/3 (- (log -1) (log f))))) into (* 1/9 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 1) 1)))) into (* 1/9 (/ (exp (* 1/9 (- (log -1) (log f)))) n)) * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n))) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 1) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 n)) (* 0 (* 1/3 (- (log -1) (log f))))) into (* 1/9 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 1) 1)))) into (* 1/9 (/ (exp (* 1/9 (- (log -1) (log f)))) n)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log f)))) (* 1/9 (/ (exp (* 1/9 (- (log -1) (log f)))) n))) (* (* 1/9 (/ (exp (* 1/9 (- (log -1) (log f)))) n)) (exp (* 1/9 (- (log -1) (log f)))))) into (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) n)) * [misc]backup-simplify: Simplify (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (+ (* (/ (pow (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) n)) 1) 1)))) into (* 2/9 (/ (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2/9 (/ (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) n))) 1)) (pow (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) 1)))) 1) into (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) n)) * [misc]taylor: Taking taylor expansion of (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) n)) in n * [misc]taylor: Taking taylor expansion of 2/9 in n * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) n) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/9 (- (log -1) (log f)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (- (log -1) (log f))) 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 (- (log -1) (log f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/9 (- (log -1) (log f))) into (* 1/9 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/9 (- (log -1) (log f)))) into (exp (* 1/9 (- (log -1) (log f)))) * [misc]taylor: Taking 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 (* 1/9 (- (log -1) (log f)))) (exp (* 1/9 (- (log -1) (log f))))) into (pow (exp (* 1/9 (- (log -1) (log f)))) 2) * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) 1) into (pow (exp (* 1/9 (- (log -1) (log f)))) 2) * [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 f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log f)))) 0) (* 0 (exp (* 1/9 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (* 0 (pow (exp (* 1/9 (- (log -1) (log f)))) 2))) 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 f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log f)))) 0) (* 0 (exp (* 1/9 (- (log -1) (log f)))))) 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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n))) 2)) (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)))) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 2) into (/ -1/6 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/6 (pow n 2))) (+ (* 0 (/ 1/3 n)) (* 0 (* 1/3 (- (log -1) (log f)))))) into (- (* 1/18 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow n 2)))) 1) 1)))) into (* -4/81 (/ (exp (* 1/9 (- (log -1) (log f)))) (pow n 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n))) 2)) (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)))) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 2) into (/ -1/6 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/6 (pow n 2))) (+ (* 0 (/ 1/3 n)) (* 0 (* 1/3 (- (log -1) (log f)))))) into (- (* 1/18 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow n 2)))) 1) 1)))) into (* -4/81 (/ (exp (* 1/9 (- (log -1) (log f)))) (pow n 2))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log f)))) (* -4/81 (/ (exp (* 1/9 (- (log -1) (log f)))) (pow n 2)))) (+ (* (* 1/9 (/ (exp (* 1/9 (- (log -1) (log f)))) n)) (* 1/9 (/ (exp (* 1/9 (- (log -1) (log f)))) n))) (* (* -4/81 (/ (exp (* 1/9 (- (log -1) (log f)))) (pow n 2))) (exp (* 1/9 (- (log -1) (log f))))))) into (- (* 7/81 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (+ (* (/ (pow (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) n)) 2) 2)) (* (/ (pow (- (* 7/81 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 2)))) 1) 1)))) into (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (- (* 2/81 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 4) (pow n 2))) (* 7/81 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 2))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2/9 (/ (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) n))) 2)) (pow (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (- (* 2/81 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 4) (pow n 2))) (* 7/81 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 2)))))) 1)) (pow (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) 1)))) 2) into (* -7/81 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -7/81 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -7/81 in n * [misc]backup-simplify: Simplify -7/81 into -7/81 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/9 (- (log -1) (log f)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (- (log -1) (log f))) 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 (- (log -1) (log f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/9 (- (log -1) (log f))) into (* 1/9 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/9 (- (log -1) (log f)))) into (exp (* 1/9 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (exp (* 1/9 (- (log -1) (log f))))) into (pow (exp (* 1/9 (- (log -1) (log f)))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) 1) into (pow (exp (* 1/9 (- (log -1) (log f)))) 2) * [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 f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (- (log -1) (log f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log f)))) 0) (+ (* 0 0) (* 0 (exp (* 1/9 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log f)))) 0) (* 0 (exp (* 1/9 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -7/81 0) (+ (* 0 0) (* 0 (pow (exp (* 1/9 (- (log -1) (log f)))) 2)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log f)))) 0) (+ (* 0 0) (* 0 (exp (* 1/9 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow (exp (* 1/9 (- (log -1) (log f)))) 2)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log f)))) 0) (+ (* 0 0) (* 0 (exp (* 1/9 (- (log -1) (log f))))))) 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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n))) 3)) (pow (exp (* 1/3 (- (log -1) (log f)))) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n))) 1) (pow (* 2 (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)))) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3)))) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 6) into (/ 1/9 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/9 (pow n 3))) (+ (* 0 (/ -1/6 (pow n 2))) (+ (* 0 (/ 1/3 n)) (* 0 (* 1/3 (- (log -1) (log f))))))) into (* 1/27 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/9 (/ 1 n)) 1) 1) (/ (pow (- (* 1/18 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/27 (/ 1 (pow n 3))) 1) 1)))) into (* 68/2187 (/ (exp (* 1/9 (- (log -1) (log f)))) (pow n 3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n))) 3)) (pow (exp (* 1/3 (- (log -1) (log f)))) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n))) 1) (pow (* 2 (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)))) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3)))) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 6) into (/ 1/9 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/9 (pow n 3))) (+ (* 0 (/ -1/6 (pow n 2))) (+ (* 0 (/ 1/3 n)) (* 0 (* 1/3 (- (log -1) (log f))))))) into (* 1/27 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/9 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/9 (/ 1 n)) 1) 1) (/ (pow (- (* 1/18 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/27 (/ 1 (pow n 3))) 1) 1)))) into (* 68/2187 (/ (exp (* 1/9 (- (log -1) (log f)))) (pow n 3))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log f)))) (* 68/2187 (/ (exp (* 1/9 (- (log -1) (log f)))) (pow n 3)))) (+ (* (* 1/9 (/ (exp (* 1/9 (- (log -1) (log f)))) n)) (* -4/81 (/ (exp (* 1/9 (- (log -1) (log f)))) (pow n 2)))) (+ (* (* -4/81 (/ (exp (* 1/9 (- (log -1) (log f)))) (pow n 2))) (* 1/9 (/ (exp (* 1/9 (- (log -1) (log f)))) n))) (* (* 68/2187 (/ (exp (* 1/9 (- (log -1) (log f)))) (pow n 3))) (exp (* 1/9 (- (log -1) (log f)))))))) into (* 112/2187 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (+ (* (/ (pow (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) n)) 3) 6)) (* (/ (pow (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) n)) 1) 1) (/ (pow (- (* 7/81 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 2)))) 1) 1)) (* (/ (pow (* 112/2187 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 3))) 1) 1)))) into (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (- (+ (* 4/2187 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 6) (pow n 3))) (* 112/2187 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 3)))) (* 14/729 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 4) (pow n 3))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2/9 (/ (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) n))) 3)) (pow (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) 3))) (* -3 (/ (* (pow (* 1 (* 2/9 (/ (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) n))) 1) (pow (* 2 (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (- (* 2/81 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 4) (pow n 2))) (* 7/81 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 2)))))) 1)) (pow (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) (- (+ (* 4/2187 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 6) (pow n 3))) (* 112/2187 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 3)))) (* 14/729 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 4) (pow n 3)))))) 1)) (pow (exp (pow (exp (* 1/9 (- (log -1) (log f)))) 2)) 1)))) 6) into (* 112/2187 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 112/2187 (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 112/2187 in n * [misc]backup-simplify: Simplify 112/2187 into 112/2187 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/9 (- (log -1) (log f)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (- (log -1) (log f))) 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 (- (log -1) (log f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/9 (- (log -1) (log f))) into (* 1/9 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/9 (- (log -1) (log f)))) into (exp (* 1/9 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (exp (* 1/9 (- (log -1) (log f))))) into (pow (exp (* 1/9 (- (log -1) (log f)))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/9 (- (log -1) (log f)))) 2) 1) into (pow (exp (* 1/9 (- (log -1) (log f)))) 2) * [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 f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (- (log -1) (log f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) 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 f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log f)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/9 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log f)))) 0) (* 0 (exp (* 1/9 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log f)))) 0) (+ (* 0 0) (* 0 (exp (* 1/9 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/9 (- (log -1) (log f)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 112/2187 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 1/9 (- (log -1) (log f)))) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/9 (- (log -1) (log (/ 1 (- f)))))) 2) into (pow (exp (* 1/9 (- (log -1) (log (/ -1 f))))) 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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 (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 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 f) 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 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (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 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) 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 f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking 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 f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) 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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) 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 f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 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 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 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 f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- f)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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 (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 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 f) 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 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (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 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) 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 f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking 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 f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) 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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) 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 f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 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 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 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 f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- f)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in n * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f 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 (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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 (+ f n)) in f * [misc]taylor: Rewrote expression to (pow (+ f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (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 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 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 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 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 f) 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 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (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 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (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 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 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 f) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]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 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 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 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [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 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) 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 f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking 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 f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) 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 f 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 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (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 f)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (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 f)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]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 f)) 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 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [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 f 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 f)))) 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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 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 f))))) 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 f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 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 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 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 f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- f)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))))) (cbrt (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f))))))) (log (cbrt (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (+ (+ (log (cbrt (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f))))))) (log (cbrt (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))) (log (cbrt (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 2 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f))))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (+ (log (sqrt (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f))))))) (log (sqrt (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 3 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (+ 0 (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 4 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (* (cbrt (cbrt (+ n f))) (log (exp (cbrt (cbrt (+ f n))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 5 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (* (cbrt (cbrt (+ n f))) (log (exp (cbrt (cbrt (+ f n))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 7 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ f n))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 9 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (cbrt (+ f n)))) (/ (- f n) (* (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (cbrt (+ f n))))))) * * * * [misc]progress: [ 20 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (cbrt (+ f n)))) (/ (- f n) (* (cbrt (sqrt (+ n f))) (cbrt (sqrt (+ f n))))))) * * * * [misc]progress: [ 21 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (cbrt (+ f n)))) (/ (- f n) (* 1 (cbrt (+ f n)))))) * * * * [misc]progress: [ 22 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (cbrt (+ f n)))) (/ (- f n) (/ (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))))))) * * * * [misc]progress: [ 23 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* f f) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n n))) * [misc]simplify: Simplified (2 2 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (cbrt (+ f n)))) (/ (- f n) (/ (cbrt (- (* f f) (* n n))) (cbrt (- f n)))))) * * * * [misc]progress: [ 24 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (* (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (cbrt (+ f n)))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 33 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (* (cbrt (sqrt (+ n f))) (cbrt (sqrt (+ f n)))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 34 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (* 1 (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 35 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (/ (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n))))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 36 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* f f) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (/ (cbrt (- (* f f) (* n n))) (cbrt (- f n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 37 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 1 2 1 1 2 1 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (* (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (cbrt (+ f n))))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 46 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1 2 1 1 2 1 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (* (cbrt (sqrt (+ n f))) (cbrt (sqrt (+ f n))))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 47 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 2 1 1 2 1 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (* 1 (cbrt (+ f n)))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 48 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 1 2 1 1 2 1 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (/ (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 49 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* f f) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n n))) * [misc]simplify: Simplified (2 1 1 1 2 1 1 2 1 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (/ (cbrt (- (* f f) (* n n))) (cbrt (- f n)))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 50 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/9 (* (pow (/ 1 (pow n 7)) 1/9) f)) (pow n 2/9)) (* 7/81 (* (pow (/ 1 (pow n 16)) 1/9) (pow f 2)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (* -7/81 f) f) (pow (/ 1 (pow n 16)) 1/9)) (+ (pow n 2/9) (* (pow (/ 1 (pow n 7)) 1/9) (* 2/9 f)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (+ (* (* (* -7/81 f) f) (pow (/ 1 (pow n 16)) 1/9)) (+ (pow n 2/9) (* (pow (/ 1 (pow n 7)) 1/9) (* 2/9 f))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 55 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow f 2) 1/9) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (pow (* f f) 1/9) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (pow (* f f) 1/9)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 56 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp (* 1/9 (- (log -1) (log (/ -1 f))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (pow f 2/9) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (pow f 2/9)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 57 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (cbrt (+ f n)))) (/ (- f n) (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n)))))) * * * * [misc]progress: [ 58 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (cbrt (+ f n)))) (/ (- f n) (pow (/ 1 f) -1/3)))) * * * * [misc]progress: [ 59 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt f)))) * * * * [misc]progress: [ 60 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 61 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (pow (/ 1 f) -1/3))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 62 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (cbrt f))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 63 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n))) * [misc]simplify: Simplified (2 1 1 1 2 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (- (* (* f 1/3) (cbrt (/ 1 (* n n)))) (- (* (* f (* 1/9 f)) (cbrt (/ 1 (pow n 5)))) (cbrt n)))))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 64 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 1 1 1 2 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (pow (/ 1 f) -1/3)))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 65 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 1 1 1 2 1 1 2 1) to (λ (f n) (/ (- (* (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt f)))))) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (n f) * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # # # # # # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on f from (# # # # # # # # # # # # # # # # # # # # # # # # # #) * * * [misc]regime: Found split indices: #