* [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 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (+ n f) (- f n)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (- 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 (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [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 (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [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 (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [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 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [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]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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in f * [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 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [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]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 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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 (- 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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 (- 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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 (- 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of -1 in f * [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 f)) into (- (/ 1 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) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [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]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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ n f)) (log (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (log (+ f n)) (log (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (exp (- (log (+ f n)) (log (- f n)))))) * * * * [misc]progress: [ 5 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (pow (/ (+ f n) (- f n)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (cbrt (pow (/ (+ f n) (- f n)) 3)))) * * * * [misc]progress: [ 8 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (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 (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n)))))) * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (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 (+ f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n)))))) * * * * [misc]progress: [ 13 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (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 (+ f n)) (/ (sqrt (- f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (/ (cbrt (+ f n)) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (cbrt (+ n f)) (sqrt (- f n)))))) * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (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 (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n)))))) * * * * [misc]progress: [ 14 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 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 (+ f n)) (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ n f)) (- f n))))) * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (- 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 (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- f n))))) * * * * [misc]progress: [ 15 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (* (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 (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n)))))) * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (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 (+ f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n)))))) * * * * [misc]progress: [ 16 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (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 (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n)))))) * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (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 (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n)))))) * * * * [misc]progress: [ 17 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) 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 (+ f n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (sqrt (+ f n)) (/ (sqrt (+ n f)) (- f n))))) * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (- 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 (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n))))) * * * * [misc]progress: [ 18 / 36 ] 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 1) to (λ (f n) (- (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n)))))) * [enter]simplify: Simplifying (/ (+ n f) (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 (/ (+ f n) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n)))))) * * * * [misc]progress: [ 19 / 36 ] 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 1) to (λ (f n) (- (* (/ 1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n)))))) * [enter]simplify: Simplifying (/ (+ n f) (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 (/ (+ f n) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ 1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))))) * * * * [misc]progress: [ 20 / 36 ] 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 1) to (λ (f n) (- (* 1 (/ (+ n f) (- f n))))) * [enter]simplify: Simplifying (/ (+ n f) (- 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 (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* 1 (/ (+ f n) (- f n))))) * * * * [misc]progress: [ 21 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 36 ] 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 2) to (λ (f n) (- (/ (/ (+ n f) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (- f n))))) * * * * [misc]progress: [ 25 / 36 ] 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 1 2) to (λ (f n) (- (/ (/ (+ n f) (sqrt (- f n))) (sqrt (- f n))))) * * * * [misc]progress: [ 26 / 36 ] 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 1 2) to (λ (f n) (- (/ (/ (+ n f) 1) (- f n)))) * * * * [misc]progress: [ 27 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ n f)) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ f n)) (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 28 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ f n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (sqrt (+ f n)) (/ (- f n) (sqrt (+ n f)))))) * * * * [misc]progress: [ 29 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ f n) n (* f f)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ (+ n f) (- (pow f 3) (pow n 3))) (fma (+ f n) n (* f f))))) * * * * [misc]progress: [ 31 / 36 ] 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 2) to (λ (f n) (- (* (/ (+ n f) (- (* f f) (* n n))) (+ n f)))) * * * * [misc]progress: [ 32 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow n 3) (pow f 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (fma f (* f f) (pow n 3)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (fma f (* f f) (pow n 3)) (* (- f n) (+ (* n n) (- (* f f) (* n f))))))) * * * * [misc]progress: [ 33 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* n n) (* f f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* n n) (* f f)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (- (* n n) (* f f)) (* (- f n) (- n f))))) * * * * [misc]progress: [ 34 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f n) (- 1)) * * * * [misc]progress: [ 35 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (f n) (- -1)) * * * * [misc]progress: [ 36 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (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 1 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 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ n f)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (pow f 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log f))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log f)) 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) 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 (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) into (pow f 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) 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 (pow (/ 1 (pow f 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) 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 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log f)) 0) into (- (* 2 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log f)))) into (* -2/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log f))) into (pow f -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow f -2/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 5)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 5)))) 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 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) 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]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 f)) 0) into (- (* 5 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log f)))) into (* -5/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log f))) into (pow f -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow f -5/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) (pow (* 1 n) 2)) (+ (* (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) (* 1 n)) (pow f 1/3))) into (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 (pow n -1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log n))) in f * [misc]taylor: Taking taylor expansion of (* -1/3 (log 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 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify 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) into (pow n -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 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 (* (pow (/ 1 n) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 n) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 n) -1/3) into (pow (/ 1 n) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 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 (/ (exp (* 1/3 (- (log -1) (log n)))) f) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 2) 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]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 3) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) 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 n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 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 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 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 n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- n)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ n f)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (pow f 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log f))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log f)) 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) 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 (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) into (pow f 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) 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 (pow (/ 1 (pow f 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) 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 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log f)) 0) into (- (* 2 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log f)))) into (* -2/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log f))) into (pow f -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow f -2/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 5)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 5)))) 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 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) 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]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 f)) 0) into (- (* 5 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log f)))) into (* -5/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log f))) into (pow f -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow f -5/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) (pow (* 1 n) 2)) (+ (* (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) (* 1 n)) (pow f 1/3))) into (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 (pow n -1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log n))) in f * [misc]taylor: Taking taylor expansion of (* -1/3 (log 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 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify 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) into (pow n -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 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 (* (pow (/ 1 n) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 n) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 n) -1/3) into (pow (/ 1 n) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 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 (/ (exp (* 1/3 (- (log -1) (log n)))) f) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 2) 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]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 3) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) 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 n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 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 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 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 n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- n)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ n f)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (pow f 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log f))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log f)) 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) 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 (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) into (pow f 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) 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 (pow (/ 1 (pow f 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) 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 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log f)) 0) into (- (* 2 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log f)))) into (* -2/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log f))) into (pow f -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow f -2/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 5)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 5)))) 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 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) 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]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 f)) 0) into (- (* 5 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log f)))) into (* -5/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log f))) into (pow f -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow f -5/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) (pow (* 1 n) 2)) (+ (* (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) (* 1 n)) (pow f 1/3))) into (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 (pow n -1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log n))) in f * [misc]taylor: Taking taylor expansion of (* -1/3 (log 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 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify 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) into (pow n -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 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 (* (pow (/ 1 n) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 n) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 n) -1/3) into (pow (/ 1 n) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 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 (/ (exp (* 1/3 (- (log -1) (log n)))) f) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 2) 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]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 3) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) 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 n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 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 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 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 n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- n)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ n f)) (cbrt (+ n f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ n f)) (cbrt (+ n f))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f)) (cbrt (+ n f))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (* (cbrt (+ n f)) (cbrt (+ n f))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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) (pow f 1/3)) into (pow (pow f 2) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow f 2) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow f 2))) 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 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log f)) 0) into (* 2 (log f)) * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log f))) into (* 2/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 2/3 (log f))) into (pow f 2/3) * [misc]backup-simplify: Simplify (pow f 2/3) into (pow f 2/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow f 1/3) (* 1/3 (pow (/ 1 (pow f 2)) 1/3))) (* (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) (pow f 1/3))) into (* 2/3 (pow (/ 1 f) 1/3)) * [misc]taylor: Taking taylor expansion of (* 2/3 (pow (/ 1 f) 1/3)) in f * [misc]taylor: Taking taylor expansion of 2/3 in f * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) 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)) 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]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 (* 2/3 (pow f -1/3)) into (* 2/3 (pow (/ 1 f) 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow (/ 1 f) 1/3)) into (* 2/3 (pow (/ 1 f) 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 f)) 0) into (* 2 (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log f))) (+ (* (/ (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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow f 1/3) (* -1/9 (pow (/ 1 (pow f 5)) 1/3))) (+ (* (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) (* 1/3 (pow (/ 1 (pow f 2)) 1/3))) (* (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) (pow f 1/3)))) into (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) * [misc]taylor: Taking taylor expansion of (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (pow (/ 1 (pow f 4)) 1/3)) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 4)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 4))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 4)))) 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 (pow f 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 4)) in f * [misc]taylor: Taking taylor expansion of (pow f 4) 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]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 f)) 0) into (- (* 4 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log f)))) into (* -4/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -4/3 (log f))) into (pow f -4/3) * [misc]backup-simplify: Simplify (* 1/9 (pow f -4/3)) into (* 1/9 (pow (/ 1 (pow f 4)) 1/3)) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) (pow (* 1 n) 2)) (+ (* (* 2/3 (pow (/ 1 f) 1/3)) (* 1 n)) (pow f 2/3))) into (- (+ (pow f 2/3) (* 2/3 (* n (pow (/ 1 f) 1/3)))) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 4)) 1/3)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (/ 1 n) (/ 1 f))) (cbrt (+ (/ 1 n) (/ 1 f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 n) (/ 1 f))) (cbrt (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f))) (cbrt (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))) (cbrt (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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) (pow n -1/3)) into (pow (/ 1 (pow n 2)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) 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 (pow n 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in f * [misc]taylor: Taking taylor expansion of (pow n 2) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow n 2)))) into (* 1/3 (log (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow n 2))))) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (pow n 2)) 1/3) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* (pow n -1/3) (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) (* (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) (pow n -1/3))) into (* 2/3 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 2/3 in f * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) 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 (pow n 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in f * [misc]taylor: Taking taylor expansion of (pow n 2) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow n 2)))) into (* 1/3 (log (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow n 2))))) into (pow (/ 1 (pow n 2)) 1/3) * [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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 (pow n 2)) 1/3) 1) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (pow (/ 1 (pow n 2)) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 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 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (+ (* (pow n -1/3) (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))))) (+ (* (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) (* (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) (pow n -1/3)))) into (- (* 1/9 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/9 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) 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 (pow n 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in f * [misc]taylor: Taking taylor expansion of (pow n 2) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow n 2)))) into (* 1/3 (log (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow n 2))))) into (pow (/ 1 (pow n 2)) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 (pow n 2)) 1/3) 1) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow n 2)) 1/3)))) 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 (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow n 2)) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (+ (* (pow n -1/3) (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))))) (+ (* (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))))) (+ (* (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) (* (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) (pow n -1/3))))) into (* 4/81 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 4/81 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 4/81 in f * [misc]backup-simplify: Simplify 4/81 into 4/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) 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 (pow n 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in f * [misc]taylor: Taking taylor expansion of (pow n 2) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow n 2)))) into (* 1/3 (log (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow n 2))))) into (pow (/ 1 (pow n 2)) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow n 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 (pow n 2)) 1/3) 1) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* 4/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow n 2)) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (pow (/ 1 n) 2)) 1/3) into (pow (pow n 2) 1/3) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f)))) (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))) (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (* 1/3 (- (log -1) (log n)))) (exp (* 1/3 (- (log -1) (log n))))) into (pow (exp (* 1/3 (- (log -1) (log n)))) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log n)))) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (* 1/3 (- (log -1) (log n)))) (exp (* 1/3 (- (log -1) (log n))))) into (pow (exp (* 1/3 (- (log -1) (log n)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1) (log n)))) 2) into (pow (exp (* 1/3 (- (log -1) (log n)))) 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) (* (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) (exp (* 1/3 (- (log -1) (log n)))))) into (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) f)) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) f)) in f * [misc]taylor: Taking taylor expansion of 2/3 in f * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) f) in f * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log n)))) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (exp (* 1/3 (- (log -1) (log n))))) into (pow (exp (* 1/3 (- (log -1) (log n)))) 2) * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) 1) into (pow (exp (* 1/3 (- (log -1) (log n)))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (pow (exp (* 1/3 (- (log -1) (log n)))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)))) (+ (* (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) (* (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) (exp (* 1/3 (- (log -1) (log n))))))) into (- (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log n)))) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 2) 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 (* (exp (* 1/3 (- (log -1) (log n)))) (exp (* 1/3 (- (log -1) (log n))))) into (pow (exp (* 1/3 (- (log -1) (log n)))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) 1) into (pow (exp (* 1/3 (- (log -1) (log n)))) 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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 n)))) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)))) (+ (* (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)))) (+ (* (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) (* (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) (exp (* 1/3 (- (log -1) (log n)))))))) into (* 4/81 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 4/81 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 4/81 in f * [misc]backup-simplify: Simplify 4/81 into 4/81 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log n)))) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 3) 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 (* (exp (* 1/3 (- (log -1) (log n)))) (exp (* 1/3 (- (log -1) (log n))))) into (pow (exp (* 1/3 (- (log -1) (log n)))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) 1) into (pow (exp (* 1/3 (- (log -1) (log n)))) 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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) 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 n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))))) 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 n)))) 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 n)))) 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 n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/3 (- (log -1) (log n)))) 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 n)))) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- n)))))) 2) into (pow (exp (* 1/3 (- (log -1) (log (/ -1 n))))) 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- f n) (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ n f)))))))) * * * * [misc]progress: [ 8 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- f n) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ n f)))))))) * * * * [misc]progress: [ 9 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- f n) (* 1 (cbrt (+ n f))))))) * * * * [misc]progress: [ 10 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow f 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (fma n (* n n) (pow f 3))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- f n) (/ (cbrt (fma n (* n n) (pow f 3))) (cbrt (+ (* n n) (- (* f f) (* n f))))))))) * * * * [misc]progress: [ 11 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* n n) (* f f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* f f))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- f n) (/ (cbrt (- (* n n) (* f f))) (cbrt (- n f))))))) * * * * [misc]progress: [ 12 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ n f))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 23 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ n f))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 24 / 95 ] 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 (+ n f)) (* 1 (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 25 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow f 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (fma n (* n n) (pow f 3))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (/ (cbrt (fma n (* n n) (pow f 3))) (cbrt (+ (* n n) (- (* f f) (* n f)))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 26 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* n n) (* f f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* f f))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (/ (cbrt (- (* n n) (* f f))) (cbrt (- n f)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 27 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (/ (* (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ n f)))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 38 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (/ (* (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ n f)))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 39 / 95 ] 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 (+ n f))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 40 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow f 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (fma n (* n n) (pow f 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (/ (* (/ (cbrt (fma n (* n n) (pow f 3))) (cbrt (+ (* n n) (- (* f f) (* n f))))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 41 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* n n) (* f f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* f f))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (/ (* (/ (cbrt (- (* n n) (* f f))) (cbrt (- n f))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 42 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ f n) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (pow (+ f n) (+ 1/3 1/3)) (/ (- f n) (cbrt (+ n f)))))) * [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 (+ n f) 2/3) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 49 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (pow (cbrt (+ f n)) (+ 1 1)) (/ (- f n) (cbrt (+ n f)))))) * [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 (+ n f)) 2) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 50 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n f) (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (+ f n) (+ f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (pow (* (+ f n) (+ f n)) 1/3) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 51 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ n f)) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ f n)) (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (pow (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 52 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (pow (cbrt (+ f n)) (+ 1 1)) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 54 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (+ n f))) (log (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ f n))) (log (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (exp (+ (log (cbrt (+ f n))) (log (cbrt (+ f n))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 56 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n f) (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (+ f n) (+ f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (cbrt (* (+ f n) (+ f n))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 59 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow n 3) (pow f 3))) (cbrt (+ (pow n 3) (pow f 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (fma f (* f f) (pow n 3))) (cbrt (fma f (* f f) (pow n 3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (/ (* (cbrt (fma f (* f f) (pow n 3))) (cbrt (fma f (* f f) (pow n 3)))) (* (cbrt (+ (* n n) (- (* f f) (* n f)))) (cbrt (+ (* n n) (- (* f f) (* n f)))))) (/ (- f n) (cbrt (+ n f)))))) * [enter]simplify: Simplifying (* (cbrt (+ (* n n) (- (* f f) (* n f)))) (cbrt (+ (* n n) (- (* f f) (* n f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (- f n) f (* n n))) (cbrt (fma (- f n) f (* n n)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (/ (* (cbrt (+ (pow n 3) (pow f 3))) (cbrt (+ (pow n 3) (pow f 3)))) (* (cbrt (fma (- f n) f (* n n))) (cbrt (fma (- f n) f (* n n))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 63 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow n 3) (pow f 3))) (cbrt (- (* n n) (* f f)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ f n) (- n f))) (cbrt (fma f (* f f) (pow n 3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (/ (* (cbrt (* (+ f n) (- n f))) (cbrt (fma f (* f f) (pow n 3)))) (* (cbrt (+ (* n n) (- (* f f) (* n f)))) (cbrt (- n f)))) (/ (- f n) (cbrt (+ n f)))))) * [enter]simplify: Simplifying (* (cbrt (+ (* n n) (- (* f f) (* n f)))) (cbrt (- n f))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (cbrt (- n f)) (cbrt (fma (- n f) n (* f f)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (/ (* (cbrt (+ (pow n 3) (pow f 3))) (cbrt (- (* n n) (* f f)))) (* (cbrt (- n f)) (cbrt (fma (- n f) n (* f f))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 64 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* n n) (* f f))) (cbrt (+ (pow n 3) (pow f 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ n f) (- n f))) (cbrt (fma n (* n n) (pow f 3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (/ (* (cbrt (* (+ n f) (- n f))) (cbrt (fma n (* n n) (pow f 3)))) (* (cbrt (- n f)) (cbrt (+ (* n n) (- (* f f) (* n f)))))) (/ (- f n) (cbrt (+ n f)))))) * [enter]simplify: Simplifying (* (cbrt (- n f)) (cbrt (+ (* n n) (- (* f f) (* n f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (cbrt (- n f)) (cbrt (fma (- f n) f (* n n)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (/ (* (cbrt (- (* n n) (* f f))) (cbrt (+ (pow n 3) (pow f 3)))) (* (cbrt (- n f)) (cbrt (fma (- f n) f (* n n))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 65 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* n n) (* f f))) (cbrt (- (* n n) (* f f)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* n n) (* f f))) (cbrt (- (* n n) (* f f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (/ (* (cbrt (- (* n n) (* f f))) (cbrt (- (* n n) (* f f)))) (* (cbrt (- n f)) (cbrt (- n f)))) (/ (- f n) (cbrt (+ n f)))))) * [enter]simplify: Simplifying (* (cbrt (- n f)) (cbrt (- n f))) * * [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 (- n f)) (cbrt (- n f))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (/ (* (cbrt (- (* n n) (* f f))) (cbrt (- (* n n) (* f f)))) (* (cbrt (- n f)) (cbrt (- n f)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 66 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (* (* (cbrt (+ n f)) (cbrt (* (cbrt (+ n f)) (cbrt (+ n f))))) (cbrt (cbrt (+ f n)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 68 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (* (* (cbrt (+ n f)) (cbrt (sqrt (+ n f)))) (cbrt (sqrt (+ f n)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 69 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (* (* (cbrt (+ n f)) (cbrt 1)) (cbrt (+ f n))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 70 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (* (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f))))) (cbrt (cbrt (+ f n)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 71 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (* (* (cbrt (+ n f)) (sqrt (cbrt (+ n f)))) (sqrt (cbrt (+ f n)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 72 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (* (* (cbrt (+ n f)) 1) (cbrt (+ f n))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 73 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (cbrt (+ n f))) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 74 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (* (cbrt (sqrt (+ f n))) (* (cbrt (sqrt (+ n f))) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 75 / 95 ] 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 (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 76 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (* (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (* (cbrt (cbrt (+ n f))) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 77 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (* (sqrt (cbrt (+ f n))) (* (sqrt (cbrt (+ n f))) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 78 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* n n) (- (* f f) (* n f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (fma (- f n) f (* n n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (/ (* (cbrt (+ n f)) (cbrt (+ (pow n 3) (pow f 3)))) (cbrt (fma (- f n) f (* n n)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 80 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- n f)) * * [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 (- n f)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (/ (* (cbrt (+ n f)) (cbrt (- (* n n) (* f f)))) (cbrt (- n f))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 81 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow n 3) (pow f 3))) (cbrt (+ n f))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (* f f) f (pow n 3))) (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (/ (* (cbrt (fma (* f f) f (pow n 3))) (cbrt (+ f n))) (cbrt (+ (* n n) (- (* f f) (* n f))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 82 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* n n) (* f f))) (cbrt (+ n f))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (* (cbrt (+ n f)) (cbrt (* (- n f) (+ n f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (/ (* (cbrt (+ n f)) (cbrt (* (- n f) (+ n f)))) (cbrt (- n f))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 83 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- f n) (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))))))) * * * * [misc]progress: [ 85 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 n) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 n) -1/3) * [misc]simplify: Simplified (2 1 2 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- f n) (pow (/ 1 n) -1/3))))) * * * * [misc]progress: [ 86 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt n) * [misc]simplify: Simplified (2 1 2 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- f n) (cbrt n))))) * * * * [misc]progress: [ 87 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 88 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 n) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 n) -1/3) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (pow (/ 1 n) -1/3)) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 89 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt n) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (cbrt n)) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 90 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (* (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 91 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 n) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 n) -1/3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (* (pow (/ 1 n) -1/3) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 92 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt n) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (* (cbrt n) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 93 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow f 2/3) (* 2/3 (* n (pow (/ 1 f) 1/3)))) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 4)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (fma (* n (* -1/9 n)) (cbrt (/ 1 (pow f 4))) (fma (* n 2/3) (cbrt (/ 1 f)) (pow f 2/3))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (fma (* n (* -1/9 n)) (cbrt (/ 1 (pow f 4))) (fma (* n 2/3) (cbrt (/ 1 f)) (pow f 2/3))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 94 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow n 2) 1/3) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (* n n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (cbrt (* n n)) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 95 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp (* 1/3 (- (log -1) (log (/ -1 n))))) 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 (70 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * [exit]simplify: Simplified to (pow n 2/3) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (pow n 2/3) (/ (- f n) (cbrt (+ n f)))))) * * * [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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (log (exp (cbrt (+ n f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (cbrt (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ n f))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ n f))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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 (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 (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ n f))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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 (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 f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log f))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log f)) 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) 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 (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) into (pow f 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (* (exp (pow f 1/3)) (+ (* (/ (pow (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) 1) 1)))) into (* 1/3 (* (exp (pow f 1/3)) (pow (/ 1 (pow f 2)) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (* (exp (pow f 1/3)) (pow (/ 1 (pow f 2)) 1/3)))) 1)) (pow (exp (pow f 1/3)) 1)))) 1) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) 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 (pow (/ 1 (pow f 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) 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 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log f)) 0) into (- (* 2 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log f)))) into (* -2/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log f))) into (pow f -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow f -2/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (* (exp (pow f 1/3)) (+ (* (/ (pow (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) 2) 2)) (* (/ (pow (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) 1) 1)))) into (* (- (* 1/18 (pow (/ 1 (pow f 4)) 1/3)) (* 1/9 (pow (/ 1 (pow f 5)) 1/3))) (exp (pow f 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (* (exp (pow f 1/3)) (pow (/ 1 (pow f 2)) 1/3)))) 2)) (pow (exp (pow f 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- (* 1/18 (pow (/ 1 (pow f 4)) 1/3)) (* 1/9 (pow (/ 1 (pow f 5)) 1/3))) (exp (pow f 1/3)))) 1)) (pow (exp (pow f 1/3)) 1)))) 2) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 5)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 5)))) 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 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) 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]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 f)) 0) into (- (* 5 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log f)))) into (* -5/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log f))) into (pow f -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow f -5/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) (pow (* 1 n) 2)) (+ (* (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) (* 1 n)) (pow f 1/3))) into (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (log (exp (cbrt (+ (/ 1 n) (/ 1 f))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (cbrt (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 (pow n -1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log n))) in f * [misc]taylor: Taking taylor expansion of (* -1/3 (log 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 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify 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) into (pow n -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]backup-simplify: Simplify (* (exp (pow n -1/3)) (+ (* (/ (pow (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ (exp (pow n -1/3)) f))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 n) 1/3) (/ (exp (pow n -1/3)) f)))) 1)) (pow (exp (pow n -1/3)) 1)))) 1) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 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 (* (pow (/ 1 n) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 n) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (pow n -1/3)) (+ (* (/ (pow (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 2) 2)) (* (/ (pow (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) 1) 1)))) into (* (- (* 1/18 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 2)))) (* 1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))))) (exp (pow n -1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 n) 1/3) (/ (exp (pow n -1/3)) f)))) 2)) (pow (exp (pow n -1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- (* 1/18 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 2)))) (* 1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))))) (exp (pow n -1/3)))) 1)) (pow (exp (pow n -1/3)) 1)))) 2) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (* (exp (pow n -1/3)) (+ (* (/ (pow (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 3) 6)) (* (/ (pow (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 1) 1) (/ (pow (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) 1) 1)))) into (* (- (+ (* 1/162 (/ 1 (* n (pow f 3)))) (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))))) (* 1/27 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 3))))) (exp (pow n -1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 n) 1/3) (/ (exp (pow n -1/3)) f)))) 3)) (pow (exp (pow n -1/3)) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 n) 1/3) (/ (exp (pow n -1/3)) f)))) 1) (pow (* 2 (* (- (* 1/18 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 2)))) (* 1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))))) (exp (pow n -1/3)))) 1)) (pow (exp (pow n -1/3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (- (+ (* 1/162 (/ 1 (* n (pow f 3)))) (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))))) (* 1/27 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 3))))) (exp (pow n -1/3)))) 1)) (pow (exp (pow n -1/3)) 1)))) 6) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 n) -1/3) into (pow (/ 1 n) -1/3) * [misc]approximate: Taking taylor expansion of (log (exp (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (exp (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]backup-simplify: Simplify (* (exp (exp (* 1/3 (- (log -1) (log n))))) (+ (* (/ (pow (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 1) 1)))) into (* 1/3 (/ (* (exp (exp (* 1/3 (- (log -1) (log n))))) (exp (* 1/3 (- (log -1) (log n))))) f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (* (exp (exp (* 1/3 (- (log -1) (log n))))) (exp (* 1/3 (- (log -1) (log n))))) f))) 1)) (pow (exp (exp (* 1/3 (- (log -1) (log n))))) 1)))) 1) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 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 (/ (exp (* 1/3 (- (log -1) (log n)))) f) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]backup-simplify: Simplify (* (exp (exp (* 1/3 (- (log -1) (log n))))) (+ (* (/ (pow (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 2) 2)) (* (/ (pow (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) 1) 1)))) into (* (- (* 1/18 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 2))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)))) (exp (exp (* 1/3 (- (log -1) (log n)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (/ (* (exp (exp (* 1/3 (- (log -1) (log n))))) (exp (* 1/3 (- (log -1) (log n))))) f))) 2)) (pow (exp (exp (* 1/3 (- (log -1) (log n))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- (* 1/18 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 2))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)))) (exp (exp (* 1/3 (- (log -1) (log n))))))) 1)) (pow (exp (exp (* 1/3 (- (log -1) (log n))))) 1)))) 2) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 2) 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]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (exp (* 1/3 (- (log -1) (log n))))) (+ (* (/ (pow (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 3) 6)) (* (/ (pow (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 1) 1) (/ (pow (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) 1) 1)) (* (/ (pow (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) 1) 1)))) into (* (exp (exp (* 1/3 (- (log -1) (log n))))) (- (+ (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) (* 1/162 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (pow f 3)))) (* 1/27 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 3))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (/ (* (exp (exp (* 1/3 (- (log -1) (log n))))) (exp (* 1/3 (- (log -1) (log n))))) f))) 3)) (pow (exp (exp (* 1/3 (- (log -1) (log n))))) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (/ (* (exp (exp (* 1/3 (- (log -1) (log n))))) (exp (* 1/3 (- (log -1) (log n))))) f))) 1) (pow (* 2 (* (- (* 1/18 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 2))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)))) (exp (exp (* 1/3 (- (log -1) (log n))))))) 1)) (pow (exp (exp (* 1/3 (- (log -1) (log n))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (exp (exp (* 1/3 (- (log -1) (log n))))) (- (+ (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) (* 1/162 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 3) (pow f 3)))) (* 1/27 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 3)))))) 1)) (pow (exp (exp (* 1/3 (- (log -1) (log n))))) 1)))) 6) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 3) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) 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 n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 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 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 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 n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- n)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ n f)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (pow f 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log f))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log f)) 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) 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 (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) into (pow f 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) 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 (pow (/ 1 (pow f 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) 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 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log f)) 0) into (- (* 2 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log f)))) into (* -2/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log f))) into (pow f -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow f -2/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 5)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 5)))) 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 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) 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]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 f)) 0) into (- (* 5 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log f)))) into (* -5/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log f))) into (pow f -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow f -5/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) (pow (* 1 n) 2)) (+ (* (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) (* 1 n)) (pow f 1/3))) into (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 (pow n -1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log n))) in f * [misc]taylor: Taking taylor expansion of (* -1/3 (log 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 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify 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) into (pow n -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 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 (* (pow (/ 1 n) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 n) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 n) -1/3) into (pow (/ 1 n) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 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 (/ (exp (* 1/3 (- (log -1) (log n)))) f) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 2) 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]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 3) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) 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 n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 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 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 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 n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- n)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ n f)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (pow f 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log f))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log f)) 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) 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 (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) into (pow f 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) 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 (pow (/ 1 (pow f 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) 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 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log f)) 0) into (- (* 2 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log f)))) into (* -2/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log f))) into (pow f -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow f -2/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 5)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 5)))) 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 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) 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]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 f)) 0) into (- (* 5 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log f)))) into (* -5/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log f))) into (pow f -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow f -5/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) (pow (* 1 n) 2)) (+ (* (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) (* 1 n)) (pow f 1/3))) into (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 (pow n -1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log n))) in f * [misc]taylor: Taking taylor expansion of (* -1/3 (log 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 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify 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) into (pow n -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 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 (* (pow (/ 1 n) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 n) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 n) -1/3) into (pow (/ 1 n) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 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 (/ (exp (* 1/3 (- (log -1) (log n)))) f) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 2) 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]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 3) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) 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 n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 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 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 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 n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- n)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ n f)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (pow f 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log f))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log f)) 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) 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 (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) into (pow f 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) 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 (pow (/ 1 (pow f 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) 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 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log f)) 0) into (- (* 2 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log f)))) into (* -2/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log f))) into (pow f -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow f -2/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 5)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 5)))) 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 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) 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]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 f)) 0) into (- (* 5 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log f)))) into (* -5/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log f))) into (pow f -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow f -5/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) (pow (* 1 n) 2)) (+ (* (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) (* 1 n)) (pow f 1/3))) into (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 (pow n -1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log n))) in f * [misc]taylor: Taking taylor expansion of (* -1/3 (log 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 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify 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) into (pow n -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 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 (* (pow (/ 1 n) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 n) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 n) -1/3) into (pow (/ 1 n) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 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 (/ (exp (* 1/3 (- (log -1) (log n)))) f) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 2) 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]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 3) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) 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 n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 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 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 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 n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- n)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (cbrt (+ n f)))) (cbrt (exp (cbrt (+ n f)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (exp (cbrt (+ f n)))) (cbrt (exp (cbrt (+ f n)))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (+ (log (* (cbrt (exp (cbrt (+ f n)))) (cbrt (exp (cbrt (+ f n)))))) (log (cbrt (exp (cbrt (+ n f))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (cbrt (+ n f))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (cbrt (+ f n))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (+ (log (sqrt (exp (cbrt (+ f n))))) (log (sqrt (exp (cbrt (+ n f))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 5 / 77 ] 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 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (+ 0 (log (exp (cbrt (+ n f)))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ f n))) (log (exp (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (sqrt (+ f n))) (log (exp (cbrt (sqrt (+ n f))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ f n)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (+ f n)) (log (exp (cbrt 1))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ f n))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (sqrt (cbrt (+ f n))) (log (exp (sqrt (cbrt (+ n f))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ f n)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (+ f n)) (log (exp 1)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ f n) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (cbrt (+ f n))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (cbrt (+ n f))))) (/ (- f n) (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ n f)))))))) * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (cbrt (+ n f))))) (/ (- f n) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ n f)))))))) * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (cbrt (+ n f))))) (/ (- f n) (* 1 (cbrt (+ n f))))))) * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow f 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (fma n (* n n) (pow f 3))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (cbrt (+ n f))))) (/ (- f n) (/ (cbrt (fma n (* n n) (pow f 3))) (cbrt (+ (* n n) (- (* f f) (* n f))))))))) * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* n n) (* f f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* f f))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (cbrt (+ n f))))) (/ (- f n) (/ (cbrt (- (* n n) (* f f))) (cbrt (- n f))))))) * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 2 1 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ n f))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 1 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ n f))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 44 / 77 ] 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 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (* 1 (cbrt (+ n f)))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow f 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (fma n (* n n) (pow f 3))) * [misc]simplify: Simplified (2 1 1 2 1 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (/ (cbrt (fma n (* n n) (pow f 3))) (cbrt (+ (* n n) (- (* f f) (* n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* n n) (* f f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* f f))) * [misc]simplify: Simplified (2 1 1 2 1 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (/ (cbrt (- (* n n) (* f f))) (cbrt (- n f)))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (/ (* (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ n f)))) (log (exp (cbrt (+ n f))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (/ (* (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ n f)))) (log (exp (cbrt (+ n f))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 59 / 77 ] 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 (+ n f))) (log (exp (cbrt (+ n f))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow f 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (fma n (* n n) (pow f 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (/ (* (/ (cbrt (fma n (* n n) (pow f 3))) (cbrt (+ (* n n) (- (* f f) (* n f))))) (log (exp (cbrt (+ n f))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* n n) (* f f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* f f))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (/ (* (/ (cbrt (- (* n n) (* f f))) (cbrt (- n f))) (log (exp (cbrt (+ n f))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 n) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 n) -1/3) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (pow (/ 1 n) -1/3)) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt n) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (cbrt n)) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (cbrt (+ n f))))) (/ (- f n) (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))))))) * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 n) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 n) -1/3) * [misc]simplify: Simplified (2 1 2 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (cbrt (+ n f))))) (/ (- f n) (pow (/ 1 n) -1/3))))) * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt n) * [misc]simplify: Simplified (2 1 2 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (cbrt (+ n f))))) (/ (- f n) (cbrt n))))) * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f)))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 n) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 n) -1/3) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (pow (/ 1 n) -1/3)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt n) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (log (exp (cbrt n)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (* (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))) (log (exp (cbrt (+ n f))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 n) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 n) -1/3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (* (pow (/ 1 n) -1/3) (log (exp (cbrt (+ n f))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt n) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (/ (* (cbrt n) (log (exp (cbrt (+ n f))))) (/ (- f n) (cbrt (+ n f)))))) * * * [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 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 2 1 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f))))) in f * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ n f))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ n f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ n f)))) 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 (+ n f))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ n f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ n f)))) 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 (+ n f))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f))) (cbrt (cbrt (+ n f)))))) in n * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ n f))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ n 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 (cbrt (+ n f))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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 (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 (+ n f))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ n 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 (cbrt (+ n f))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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 (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 (+ n f))) (cbrt (cbrt (+ n f)))))) in n * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ n f))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ n 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 (cbrt (+ n f))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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 (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 (+ n f))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ n 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 (cbrt (+ n f))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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 (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 (pow (pow f 2) 1/9) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (log (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (log (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log f)) 0) into (* 2 (log f)) * [misc]backup-simplify: Simplify (* 1/9 (* 2 (log f))) into (* 2/9 (log f)) * [misc]backup-simplify: Simplify (exp (* 2/9 (log f))) into (pow f 2/9) * [misc]backup-simplify: Simplify (pow f 2/9) into (pow f 2/9) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (pow f 2)) 1/3))) 1)) (pow (pow f 1/3) 1)))) 1) into (/ 1/3 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 f)) (* 0 (log (pow f 1/3)))) into (* 1/9 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow f 1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 1) 1)))) into (* 1/9 (pow (/ 1 (pow f 8)) 1/9)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (pow f 2)) 1/3))) 1)) (pow (pow f 1/3) 1)))) 1) into (/ 1/3 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 f)) (* 0 (log (pow f 1/3)))) into (* 1/9 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow f 1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 1) 1)))) into (* 1/9 (pow (/ 1 (pow f 8)) 1/9)) * [misc]backup-simplify: Simplify (+ (* (pow (pow f 1/3) 1/3) (* 1/9 (pow (/ 1 (pow f 8)) 1/9))) (* (* 1/9 (pow (/ 1 (pow f 8)) 1/9)) (pow (pow f 1/3) 1/3))) into (* 2/9 (pow (/ 1 (pow f 7)) 1/9)) * [misc]backup-simplify: Simplify (* (exp (pow (pow f 2) 1/9)) (+ (* (/ (pow (* 2/9 (pow (/ 1 (pow f 7)) 1/9)) 1) 1)))) into (* 2/9 (* (exp (pow (pow f 2) 1/9)) (pow (/ 1 (pow f 7)) 1/9))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2/9 (* (exp (pow (pow f 2) 1/9)) (pow (/ 1 (pow f 7)) 1/9)))) 1)) (pow (exp (pow (pow f 2) 1/9)) 1)))) 1) into (* 2/9 (pow (/ 1 (pow f 7)) 1/9)) * [misc]taylor: Taking taylor expansion of (* 2/9 (pow (/ 1 (pow f 7)) 1/9)) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 7)) 1/9) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow f 7))))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow f 7)))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow f 7))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 7)) in f * [misc]taylor: Taking taylor expansion of (pow f 7) 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]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 f)) 0) into (- (* 7 (log f))) * [misc]backup-simplify: Simplify (* 1/9 (- (* 7 (log f)))) into (* -7/9 (log f)) * [misc]backup-simplify: Simplify (exp (* -7/9 (log f))) into (pow f -7/9) * [misc]backup-simplify: Simplify (* 2/9 (pow f -7/9)) into (* 2/9 (pow (/ 1 (pow f 7)) 1/9)) * [misc]backup-simplify: Simplify (* 2/9 (pow (/ 1 (pow f 7)) 1/9)) into (* 2/9 (pow (/ 1 (pow f 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 f)) 0) into (* 2 (log f)) * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (* 2 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/9 (log f))) (+ (* (/ (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 f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (pow f 2)) 1/3))) 2)) (pow (pow f 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (pow f 5)) 1/3))) 1)) (pow (pow f 1/3) 1)))) 2) into (/ -1/6 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/6 (pow f 2))) (+ (* 0 (/ 1/3 f)) (* 0 (log (pow f 1/3))))) into (- (* 1/18 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow f 1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow f 2)))) 1) 1)))) into (* -4/81 (pow (/ 1 (pow f 17)) 1/9)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (pow f 2)) 1/3))) 2)) (pow (pow f 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (pow f 5)) 1/3))) 1)) (pow (pow f 1/3) 1)))) 2) into (/ -1/6 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/6 (pow f 2))) (+ (* 0 (/ 1/3 f)) (* 0 (log (pow f 1/3))))) into (- (* 1/18 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow f 1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow f 2)))) 1) 1)))) into (* -4/81 (pow (/ 1 (pow f 17)) 1/9)) * [misc]backup-simplify: Simplify (+ (* (pow (pow f 1/3) 1/3) (* -4/81 (pow (/ 1 (pow f 17)) 1/9))) (+ (* (* 1/9 (pow (/ 1 (pow f 8)) 1/9)) (* 1/9 (pow (/ 1 (pow f 8)) 1/9))) (* (* -4/81 (pow (/ 1 (pow f 17)) 1/9)) (pow (pow f 1/3) 1/3)))) into (- (* 7/81 (pow (/ 1 (pow f 16)) 1/9))) * [misc]backup-simplify: Simplify (* (exp (pow (pow f 2) 1/9)) (+ (* (/ (pow (* 2/9 (pow (/ 1 (pow f 7)) 1/9)) 2) 2)) (* (/ (pow (- (* 7/81 (pow (/ 1 (pow f 16)) 1/9))) 1) 1)))) into (* (- (* 2/81 (pow (/ 1 (pow f 14)) 1/9)) (* 7/81 (pow (/ 1 (pow f 16)) 1/9))) (exp (pow (pow f 2) 1/9))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2/9 (* (exp (pow (pow f 2) 1/9)) (pow (/ 1 (pow f 7)) 1/9)))) 2)) (pow (exp (pow (pow f 2) 1/9)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- (* 2/81 (pow (/ 1 (pow f 14)) 1/9)) (* 7/81 (pow (/ 1 (pow f 16)) 1/9))) (exp (pow (pow f 2) 1/9)))) 1)) (pow (exp (pow (pow f 2) 1/9)) 1)))) 2) into (* -7/81 (pow (/ 1 (pow f 16)) 1/9)) * [misc]taylor: Taking taylor expansion of (* -7/81 (pow (/ 1 (pow f 16)) 1/9)) in f * [misc]taylor: Taking taylor expansion of -7/81 in f * [misc]backup-simplify: Simplify -7/81 into -7/81 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 16)) 1/9) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow f 16))))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow f 16)))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow f 16))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 16)) in f * [misc]taylor: Taking taylor expansion of (pow f 16) 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]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 f)) 0) into (- (* 16 (log f))) * [misc]backup-simplify: Simplify (* 1/9 (- (* 16 (log f)))) into (* -16/9 (log f)) * [misc]backup-simplify: Simplify (exp (* -16/9 (log f))) into (pow f -16/9) * [misc]backup-simplify: Simplify (* -7/81 (pow f -16/9)) into (* -7/81 (pow (/ 1 (pow f 16)) 1/9)) * [misc]backup-simplify: Simplify (* -7/81 (pow (/ 1 (pow f 16)) 1/9)) into (* -7/81 (pow (/ 1 (pow f 16)) 1/9)) * [misc]backup-simplify: Simplify (+ (* (* -7/81 (pow (/ 1 (pow f 16)) 1/9)) (pow (* 1 n) 2)) (+ (* (* 2/9 (pow (/ 1 (pow f 7)) 1/9)) (* 1 n)) (pow f 2/9))) into (- (+ (* 2/9 (* n (pow (/ 1 (pow f 7)) 1/9))) (pow f 2/9)) (* 7/81 (* (pow n 2) (pow (/ 1 (pow f 16)) 1/9)))) * [misc]approximate: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))) (cbrt (cbrt (+ (/ 1 n) (/ 1 f))))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))) (cbrt (cbrt (+ (/ 1 n) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))) (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))) (cbrt (cbrt (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 n) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 n) (/ 1 f))))) 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 n) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f)))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 n) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 n) (/ 1 f))))) 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 n) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f)))) (cbrt (cbrt (+ (/ 1 n) (/ 1 f))))))) in n * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))) (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))) (cbrt (cbrt (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 n) (/ 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 (cbrt (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f)))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 n) (/ 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 (cbrt (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f)))) (cbrt (cbrt (+ (/ 1 n) (/ 1 f))))))) in n * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))) (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))) (cbrt (cbrt (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 n) (/ 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 (cbrt (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f)))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 n) (/ 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 (cbrt (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 (pow (/ 1 (pow n 2)) 1/9) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow n 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow n 2)))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in f * [misc]taylor: Taking taylor expansion of (pow n 2) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* 1/9 (log (/ 1 (pow n 2)))) into (* 1/9 (log (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (exp (* 1/9 (log (/ 1 (pow n 2))))) into (pow (/ 1 (pow n 2)) 1/9) * [misc]backup-simplify: Simplify (pow (/ 1 (pow n 2)) 1/9) into (pow (/ 1 (pow n 2)) 1/9) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) 1)) (pow (pow n -1/3) 1)))) 1) into (/ 1/3 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 f)) (* 0 (log (pow n -1/3)))) into (* 1/9 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow n -1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 1) 1)))) into (* 1/9 (* (pow (/ 1 n) 1/9) (/ 1 f))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) 1)) (pow (pow n -1/3) 1)))) 1) into (/ 1/3 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 f)) (* 0 (log (pow n -1/3)))) into (* 1/9 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow n -1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 1) 1)))) into (* 1/9 (* (pow (/ 1 n) 1/9) (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* (pow (pow n -1/3) 1/3) (* 1/9 (* (pow (/ 1 n) 1/9) (/ 1 f)))) (* (* 1/9 (* (pow (/ 1 n) 1/9) (/ 1 f))) (pow (pow n -1/3) 1/3))) into (* 2/9 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 f))) * [misc]backup-simplify: Simplify (* (exp (pow (/ 1 (pow n 2)) 1/9)) (+ (* (/ (pow (* 2/9 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 f))) 1) 1)))) into (* 2/9 (* (pow (/ 1 (pow n 2)) 1/9) (/ (exp (pow (/ 1 (pow n 2)) 1/9)) f))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2/9 (* (pow (/ 1 (pow n 2)) 1/9) (/ (exp (pow (/ 1 (pow n 2)) 1/9)) f)))) 1)) (pow (exp (pow (/ 1 (pow n 2)) 1/9)) 1)))) 1) into (* 2/9 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 2/9 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/9) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow n 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow n 2)))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in f * [misc]taylor: Taking taylor expansion of (pow n 2) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* 1/9 (log (/ 1 (pow n 2)))) into (* 1/9 (log (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (exp (* 1/9 (log (/ 1 (pow n 2))))) into (pow (/ 1 (pow n 2)) 1/9) * [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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/9) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 (pow n 2)) 1/9) 1) into (pow (/ 1 (pow n 2)) 1/9) * [misc]backup-simplify: Simplify (+ (* 2/9 0) (* 0 (pow (/ 1 (pow n 2)) 1/9))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow n 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 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) 2)) (pow (pow n -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))))) 1)) (pow (pow n -1/3) 1)))) 2) into (/ -1/6 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/6 (pow f 2))) (+ (* 0 (/ 1/3 f)) (* 0 (log (pow n -1/3))))) into (- (* 1/18 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow n -1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow f 2)))) 1) 1)))) into (* -4/81 (* (pow (/ 1 n) 1/9) (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) 2)) (pow (pow n -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))))) 1)) (pow (pow n -1/3) 1)))) 2) into (/ -1/6 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/6 (pow f 2))) (+ (* 0 (/ 1/3 f)) (* 0 (log (pow n -1/3))))) into (- (* 1/18 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow n -1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow f 2)))) 1) 1)))) into (* -4/81 (* (pow (/ 1 n) 1/9) (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (+ (* (pow (pow n -1/3) 1/3) (* -4/81 (* (pow (/ 1 n) 1/9) (/ 1 (pow f 2))))) (+ (* (* 1/9 (* (pow (/ 1 n) 1/9) (/ 1 f))) (* 1/9 (* (pow (/ 1 n) 1/9) (/ 1 f)))) (* (* -4/81 (* (pow (/ 1 n) 1/9) (/ 1 (pow f 2)))) (pow (pow n -1/3) 1/3)))) into (- (* 7/81 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 2))))) * [misc]backup-simplify: Simplify (* (exp (pow (/ 1 (pow n 2)) 1/9)) (+ (* (/ (pow (* 2/9 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 f))) 2) 2)) (* (/ (pow (- (* 7/81 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 2))))) 1) 1)))) into (* (exp (pow (/ 1 (pow n 2)) 1/9)) (- (* 2/81 (* (pow (/ 1 (pow n 4)) 1/9) (/ 1 (pow f 2)))) (* 7/81 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 2)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2/9 (* (pow (/ 1 (pow n 2)) 1/9) (/ (exp (pow (/ 1 (pow n 2)) 1/9)) f)))) 2)) (pow (exp (pow (/ 1 (pow n 2)) 1/9)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (pow (/ 1 (pow n 2)) 1/9)) (- (* 2/81 (* (pow (/ 1 (pow n 4)) 1/9) (/ 1 (pow f 2)))) (* 7/81 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 2))))))) 1)) (pow (exp (pow (/ 1 (pow n 2)) 1/9)) 1)))) 2) into (* -7/81 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -7/81 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -7/81 in f * [misc]backup-simplify: Simplify -7/81 into -7/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/9) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow n 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow n 2)))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in f * [misc]taylor: Taking taylor expansion of (pow n 2) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* 1/9 (log (/ 1 (pow n 2)))) into (* 1/9 (log (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (exp (* 1/9 (log (/ 1 (pow n 2))))) into (pow (/ 1 (pow n 2)) 1/9) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/9) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/9) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 (pow n 2)) 1/9) 1) into (pow (/ 1 (pow n 2)) 1/9) * [misc]backup-simplify: Simplify (+ (* -7/81 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow n 2)) 1/9)))) 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 (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/9) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow n 2)) 1/9)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow n 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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) 3)) (pow (pow n -1/3) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) 1) (pow (* 2 (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))))) 1)) (pow (pow n -1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))))) 1)) (pow (pow n -1/3) 1)))) 6) into (/ 1/9 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/9 (pow f 3))) (+ (* 0 (/ -1/6 (pow f 2))) (+ (* 0 (/ 1/3 f)) (* 0 (log (pow n -1/3)))))) into (* 1/27 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow n -1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/9 (/ 1 f)) 1) 1) (/ (pow (- (* 1/18 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/27 (/ 1 (pow f 3))) 1) 1)))) into (* 68/2187 (* (pow (/ 1 n) 1/9) (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) 3)) (pow (pow n -1/3) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) 1) (pow (* 2 (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))))) 1)) (pow (pow n -1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))))) 1)) (pow (pow n -1/3) 1)))) 6) into (/ 1/9 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/9 (pow f 3))) (+ (* 0 (/ -1/6 (pow f 2))) (+ (* 0 (/ 1/3 f)) (* 0 (log (pow n -1/3)))))) into (* 1/27 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow n -1/3)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/9 (/ 1 f)) 1) 1) (/ (pow (- (* 1/18 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/27 (/ 1 (pow f 3))) 1) 1)))) into (* 68/2187 (* (pow (/ 1 n) 1/9) (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (+ (* (pow (pow n -1/3) 1/3) (* 68/2187 (* (pow (/ 1 n) 1/9) (/ 1 (pow f 3))))) (+ (* (* 1/9 (* (pow (/ 1 n) 1/9) (/ 1 f))) (* -4/81 (* (pow (/ 1 n) 1/9) (/ 1 (pow f 2))))) (+ (* (* -4/81 (* (pow (/ 1 n) 1/9) (/ 1 (pow f 2)))) (* 1/9 (* (pow (/ 1 n) 1/9) (/ 1 f)))) (* (* 68/2187 (* (pow (/ 1 n) 1/9) (/ 1 (pow f 3)))) (pow (pow n -1/3) 1/3))))) into (* 112/2187 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (* (exp (pow (/ 1 (pow n 2)) 1/9)) (+ (* (/ (pow (* 2/9 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 f))) 3) 6)) (* (/ (pow (* 2/9 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 f))) 1) 1) (/ (pow (- (* 7/81 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 2))))) 1) 1)) (* (/ (pow (* 112/2187 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 3)))) 1) 1)))) into (* (- (+ (* 4/2187 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 3)))) (* 112/2187 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 3))))) (* 14/729 (* (pow (/ 1 (pow n 4)) 1/9) (/ 1 (pow f 3))))) (exp (pow (/ 1 (pow n 2)) 1/9))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2/9 (* (pow (/ 1 (pow n 2)) 1/9) (/ (exp (pow (/ 1 (pow n 2)) 1/9)) f)))) 3)) (pow (exp (pow (/ 1 (pow n 2)) 1/9)) 3))) (* -3 (/ (* (pow (* 1 (* 2/9 (* (pow (/ 1 (pow n 2)) 1/9) (/ (exp (pow (/ 1 (pow n 2)) 1/9)) f)))) 1) (pow (* 2 (* (exp (pow (/ 1 (pow n 2)) 1/9)) (- (* 2/81 (* (pow (/ 1 (pow n 4)) 1/9) (/ 1 (pow f 2)))) (* 7/81 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 2))))))) 1)) (pow (exp (pow (/ 1 (pow n 2)) 1/9)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (- (+ (* 4/2187 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 3)))) (* 112/2187 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 3))))) (* 14/729 (* (pow (/ 1 (pow n 4)) 1/9) (/ 1 (pow f 3))))) (exp (pow (/ 1 (pow n 2)) 1/9)))) 1)) (pow (exp (pow (/ 1 (pow n 2)) 1/9)) 1)))) 6) into (* 112/2187 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 112/2187 (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 112/2187 in f * [misc]backup-simplify: Simplify 112/2187 into 112/2187 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow n 2)) 1/9) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/9) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow n 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow n 2)))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in f * [misc]taylor: Taking taylor expansion of (pow n 2) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* 1/9 (log (/ 1 (pow n 2)))) into (* 1/9 (log (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (exp (* 1/9 (log (/ 1 (pow n 2))))) into (pow (/ 1 (pow n 2)) 1/9) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow n 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/9) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/9) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/9) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 (pow n 2)) 1/9) 1) into (pow (/ 1 (pow n 2)) 1/9) * [misc]backup-simplify: Simplify (+ (* 112/2187 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow n 2)) 1/9))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (pow (/ 1 n) 2)) 1/9) into (pow (pow n 2) 1/9) * [misc]approximate: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))))) 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 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))))) 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 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f))))) (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))))))) in n * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 (- n)) (/ 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 (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 (- n)) (/ 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 (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f))))) (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))))))) in n * [misc]taylor: Taking taylor expansion of (exp (* (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 (- n)) (/ 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 (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cbrt (+ (/ 1 (- n)) (/ 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 (cbrt (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (pow (exp (* 1/9 (- (log -1) (log n)))) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/9 (- (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 (pow (exp (* 1/9 (- (log -1) (log n)))) 2) into (pow (exp (* 1/9 (- (log -1) (log n)))) 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 1) into (/ 1/3 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 f)) (* 0 (* 1/3 (- (log -1) (log n))))) into (* 1/9 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 1) 1)))) into (* 1/9 (/ (exp (* 1/9 (- (log -1) (log n)))) 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 1) into (/ 1/3 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 f)) (* 0 (* 1/3 (- (log -1) (log n))))) into (* 1/9 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 1) 1)))) into (* 1/9 (/ (exp (* 1/9 (- (log -1) (log n)))) f)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log n)))) (* 1/9 (/ (exp (* 1/9 (- (log -1) (log n)))) f))) (* (* 1/9 (/ (exp (* 1/9 (- (log -1) (log n)))) f)) (exp (* 1/9 (- (log -1) (log n)))))) into (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) f)) * [misc]backup-simplify: Simplify (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (+ (* (/ (pow (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) f)) 1) 1)))) into (* 2/9 (/ (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2/9 (/ (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) f))) 1)) (pow (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) 1)))) 1) into (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) f)) * [misc]taylor: Taking taylor expansion of (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) f)) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) f) in f * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/9 (- (log -1) (log n)))) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/9 (- (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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) 1) into (pow (exp (* 1/9 (- (log -1) (log n)))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log n)))) 0) (* 0 (exp (* 1/9 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (* 0 (pow (exp (* 1/9 (- (log -1) (log n)))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log n)))) 0) (* 0 (exp (* 1/9 (- (log -1) (log n)))))) 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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) 2)) (pow (exp (* 1/3 (- (log -1) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)))) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 2) into (/ -1/6 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/6 (pow f 2))) (+ (* 0 (/ 1/3 f)) (* 0 (* 1/3 (- (log -1) (log n)))))) into (- (* 1/18 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow f 2)))) 1) 1)))) into (* -4/81 (/ (exp (* 1/9 (- (log -1) (log n)))) (pow f 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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) 2)) (pow (exp (* 1/3 (- (log -1) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)))) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 2) into (/ -1/6 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/6 (pow f 2))) (+ (* 0 (/ 1/3 f)) (* 0 (* 1/3 (- (log -1) (log n)))))) into (- (* 1/18 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow f 2)))) 1) 1)))) into (* -4/81 (/ (exp (* 1/9 (- (log -1) (log n)))) (pow f 2))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log n)))) (* -4/81 (/ (exp (* 1/9 (- (log -1) (log n)))) (pow f 2)))) (+ (* (* 1/9 (/ (exp (* 1/9 (- (log -1) (log n)))) f)) (* 1/9 (/ (exp (* 1/9 (- (log -1) (log n)))) f))) (* (* -4/81 (/ (exp (* 1/9 (- (log -1) (log n)))) (pow f 2))) (exp (* 1/9 (- (log -1) (log n))))))) into (- (* 7/81 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (+ (* (/ (pow (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) f)) 2) 2)) (* (/ (pow (- (* 7/81 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 2)))) 1) 1)))) into (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (- (* 2/81 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 4) (pow f 2))) (* 7/81 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 2))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2/9 (/ (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) f))) 2)) (pow (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (- (* 2/81 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 4) (pow f 2))) (* 7/81 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 2)))))) 1)) (pow (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) 1)))) 2) into (* -7/81 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -7/81 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -7/81 in f * [misc]backup-simplify: Simplify -7/81 into -7/81 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/9 (- (log -1) (log n)))) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/9 (- (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 (pow f 2) 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 (* (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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) 1) into (pow (exp (* 1/9 (- (log -1) (log n)))) 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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/9 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log n)))) 0) (* 0 (exp (* 1/9 (- (log -1) (log n)))))) 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 n)))) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/9 (- (log -1) (log n)))) 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/9 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/9 (- (log -1) (log n)))) 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/9 (- (log -1) (log n))))))) 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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) 3)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) 1) (pow (* 2 (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)))) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)))) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 6) into (/ 1/9 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/9 (pow f 3))) (+ (* 0 (/ -1/6 (pow f 2))) (+ (* 0 (/ 1/3 f)) (* 0 (* 1/3 (- (log -1) (log n))))))) into (* 1/27 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/9 (/ 1 f)) 1) 1) (/ (pow (- (* 1/18 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/27 (/ 1 (pow f 3))) 1) 1)))) into (* 68/2187 (/ (exp (* 1/9 (- (log -1) (log n)))) (pow f 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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) 3)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) 1) (pow (* 2 (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)))) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)))) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 6) into (/ 1/9 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/9 (pow f 3))) (+ (* 0 (/ -1/6 (pow f 2))) (+ (* 0 (/ 1/3 f)) (* 0 (* 1/3 (- (log -1) (log n))))))) into (* 1/27 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/9 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/9 (/ 1 f)) 1) 1) (/ (pow (- (* 1/18 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/27 (/ 1 (pow f 3))) 1) 1)))) into (* 68/2187 (/ (exp (* 1/9 (- (log -1) (log n)))) (pow f 3))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log n)))) (* 68/2187 (/ (exp (* 1/9 (- (log -1) (log n)))) (pow f 3)))) (+ (* (* 1/9 (/ (exp (* 1/9 (- (log -1) (log n)))) f)) (* -4/81 (/ (exp (* 1/9 (- (log -1) (log n)))) (pow f 2)))) (+ (* (* -4/81 (/ (exp (* 1/9 (- (log -1) (log n)))) (pow f 2))) (* 1/9 (/ (exp (* 1/9 (- (log -1) (log n)))) f))) (* (* 68/2187 (/ (exp (* 1/9 (- (log -1) (log n)))) (pow f 3))) (exp (* 1/9 (- (log -1) (log n)))))))) into (* 112/2187 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (+ (* (/ (pow (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) f)) 3) 6)) (* (/ (pow (* 2/9 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) f)) 1) 1) (/ (pow (- (* 7/81 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 2)))) 1) 1)) (* (/ (pow (* 112/2187 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 3))) 1) 1)))) into (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (- (+ (* 4/2187 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 6) (pow f 3))) (* 112/2187 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 3)))) (* 14/729 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 4) (pow f 3))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2/9 (/ (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) f))) 3)) (pow (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) 3))) (* -3 (/ (* (pow (* 1 (* 2/9 (/ (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) f))) 1) (pow (* 2 (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (- (* 2/81 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 4) (pow f 2))) (* 7/81 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 2)))))) 1)) (pow (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) (- (+ (* 4/2187 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 6) (pow f 3))) (* 112/2187 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 3)))) (* 14/729 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 4) (pow f 3)))))) 1)) (pow (exp (pow (exp (* 1/9 (- (log -1) (log n)))) 2)) 1)))) 6) into (* 112/2187 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 112/2187 (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 112/2187 in f * [misc]backup-simplify: Simplify 112/2187 into 112/2187 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/9 (- (log -1) (log n)))) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/9 (- (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 (pow f 3) 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 (* (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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/9 (- (log -1) (log n)))) 2) 1) into (pow (exp (* 1/9 (- (log -1) (log n)))) 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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) 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 n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/9 (- (log -1) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/9 (- (log -1) (log n)))))))) 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 n)))) 0) (* 0 (exp (* 1/9 (- (log -1) (log n)))))) 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 n)))) 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 n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/9 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/9 (- (log -1) (log n)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (exp (* 1/9 (- (log -1) (log n)))) 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 n)))) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/9 (- (log -1) (log (/ 1 (- n)))))) 2) into (pow (exp (* 1/9 (- (log -1) (log (/ -1 n))))) 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ n f)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (pow f 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log f))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log f)) 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) 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 (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) into (pow f 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) 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 (pow (/ 1 (pow f 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) 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 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log f)) 0) into (- (* 2 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log f)))) into (* -2/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log f))) into (pow f -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow f -2/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 5)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 5)))) 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 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) 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]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 f)) 0) into (- (* 5 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log f)))) into (* -5/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log f))) into (pow f -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow f -5/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) (pow (* 1 n) 2)) (+ (* (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) (* 1 n)) (pow f 1/3))) into (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 (pow n -1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log n))) in f * [misc]taylor: Taking taylor expansion of (* -1/3 (log 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 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify 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) into (pow n -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 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 (* (pow (/ 1 n) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 n) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 n) -1/3) into (pow (/ 1 n) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 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 (/ (exp (* 1/3 (- (log -1) (log n)))) f) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 2) 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]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 3) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) 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 n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 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 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 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 n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- n)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ n f)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (pow f 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log f))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log f)) 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) 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 (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) into (pow f 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) 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 (pow (/ 1 (pow f 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) 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 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log f)) 0) into (- (* 2 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log f)))) into (* -2/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log f))) into (pow f -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow f -2/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 5)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 5)))) 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 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) 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]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 f)) 0) into (- (* 5 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log f)))) into (* -5/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log f))) into (pow f -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow f -5/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) (pow (* 1 n) 2)) (+ (* (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) (* 1 n)) (pow f 1/3))) into (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 (pow n -1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log n))) in f * [misc]taylor: Taking taylor expansion of (* -1/3 (log 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 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify 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) into (pow n -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 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 (* (pow (/ 1 n) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 n) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 n) -1/3) into (pow (/ 1 n) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 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 (/ (exp (* 1/3 (- (log -1) (log n)))) f) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 2) 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]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 3) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) 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 n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 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 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 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 n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- n)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ n f)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ n f)) in f * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n f))) 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 (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [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 (+ n 0) 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 (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (cbrt (+ n f)) in n * [misc]taylor: Rewrote expression to (pow (+ n f) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ n 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 (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [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 in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 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]taylor: Taking taylor expansion of (pow f 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log f))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log f)) 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) 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 (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) into (pow f 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow f 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log f))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) 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 (pow (/ 1 (pow f 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) 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 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log f)) 0) into (- (* 2 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log f)))) into (* -2/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log f))) into (pow f -2/3) * [misc]backup-simplify: Simplify (* 1/3 (pow f -2/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log f)))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 5)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 5)))) 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 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) 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]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 f)) 0) into (- (* 5 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log f)))) into (* -5/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log f))) into (pow f -5/3) * [misc]backup-simplify: Simplify (* -1/9 (pow f -5/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow f 5)) 1/3)) (pow (* 1 n) 2)) (+ (* (* 1/3 (pow (/ 1 (pow f 2)) 1/3)) (* 1 n)) (pow f 1/3))) into (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 1 f)))) 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 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [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) 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]backup-simplify: Simplify (+ 0 1) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 n) (/ 1 f))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 n) (/ 1 f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 n) (/ 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 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) 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 (/ 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 (+ 1 0) 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 (pow n -1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log n))) in f * [misc]taylor: Taking taylor expansion of (* -1/3 (log 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 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify 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) into (pow n -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) 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 (* (pow (/ 1 n) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 n) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (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 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 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 n)) in f * [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 (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) 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]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 n) -1/3) into (pow (/ 1 n) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f))))) 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 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [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)) 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]backup-simplify: Simplify (+ 0 -1) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- n)) (/ 1 (- f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [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)) 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]backup-simplify: Simplify (+ -1 0) 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 (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log 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 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) 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 (/ (exp (* 1/3 (- (log -1) (log n)))) f) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) 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 n 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 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 2) 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]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log 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) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) 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 (pow f 3) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [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 n 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 n)))) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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 n))))) 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 n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (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 n)))) (+ (* (/ (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 n)))) (/ 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 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 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 n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- n)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))) (cbrt (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (log (cbrt (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))))))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (+ (+ (log (cbrt (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (log (cbrt (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))))))) (log (cbrt (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (+ (log (sqrt (exp (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))))) (log (sqrt (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 5 / 73 ] 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 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (+ 0 (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f))))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (* (cbrt (cbrt (+ f n))) (log (exp (cbrt (cbrt (+ n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (* (cbrt (cbrt (+ f n))) (log (exp (cbrt (cbrt (+ n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ n f)))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ n f)))))))) * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ n f)))))))) * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (* 1 (cbrt (+ n f))))))) * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow f 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (fma n (* n n) (pow f 3))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (/ (cbrt (fma n (* n n) (pow f 3))) (cbrt (+ (* n n) (- (* f f) (* n f))))))))) * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* n n) (* f f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* f f))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (/ (cbrt (- (* n n) (* f f))) (cbrt (- n f))))))) * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 2 2 1 1 2 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ n f)))))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 2 1 1 2 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ n f)))))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 40 / 73 ] 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 2 1 1 2 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (* 1 (cbrt (+ n f))))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow f 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (fma n (* n n) (pow f 3))) * [misc]simplify: Simplified (2 1 1 2 2 1 1 2 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (/ (cbrt (fma n (* n n) (pow f 3))) (cbrt (+ (* n n) (- (* f f) (* n f))))))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* n n) (* f f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* f f))) * [misc]simplify: Simplified (2 1 1 2 2 1 1 2 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (/ (cbrt (- (* n n) (* f f))) (cbrt (- n f))))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 2 2 1 1 1 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ n f))))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 2 1 1 1 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ n f))))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 55 / 73 ] 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 2 1 1 1 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (* 1 (cbrt (+ n f)))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow n 3) (pow f 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (fma n (* n n) (pow f 3))) * [misc]simplify: Simplified (2 1 1 2 2 1 1 1 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (/ (cbrt (fma n (* n n) (pow f 3))) (cbrt (+ (* n n) (- (* f f) (* n f)))))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* n n) (* f f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* f f))) * [misc]simplify: Simplified (2 1 1 2 2 1 1 1 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (/ (cbrt (- (* n n) (* f f))) (cbrt (- n f)))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/9 (* n (pow (/ 1 (pow f 7)) 1/9))) (pow f 2/9)) (* 7/81 (* (pow n 2) (pow (/ 1 (pow f 16)) 1/9)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (fma (* -7/81 n) (* (pow (/ 1 (pow f 16)) 1/9) n) (fma (* 2/9 n) (pow (/ 1 (pow f 7)) 1/9) (pow f 2/9))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (fma (* -7/81 n) (* (pow (/ 1 (pow f 16)) 1/9) n) (fma (* 2/9 n) (pow (/ 1 (pow f 7)) 1/9) (pow f 2/9))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow n 2) 1/9) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (pow (* n n) 1/9) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (pow (* n n) 1/9))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp (* 1/9 (- (log -1) (log (/ -1 n))))) 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 (70 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (pow n 2/9) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (pow n 2/9))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))))))) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 n) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 n) -1/3) * [misc]simplify: Simplified (2 1 2 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (pow (/ 1 n) -1/3))))) * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt n) * [misc]simplify: Simplified (2 1 2 2) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (cbrt n))))) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))) * [misc]simplify: Simplified (2 1 1 2 2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 n) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 n) -1/3) * [misc]simplify: Simplified (2 1 1 2 2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (pow (/ 1 n) -1/3))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt n) * [misc]simplify: Simplified (2 1 1 2 2 1 1 2 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt (+ n f))) (cbrt (cbrt n))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* n (pow (/ 1 (pow f 2)) 1/3))) (pow f 1/3)) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 5)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f))) * [misc]simplify: Simplified (2 1 1 2 2 1 1 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (fma (* (cbrt (/ 1 (pow f 5))) n) (* -1/9 n) (fma (* 1/3 n) (cbrt (/ 1 (* f f))) (cbrt f)))) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 n) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 n) -1/3) * [misc]simplify: Simplified (2 1 1 2 2 1 1 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (pow (/ 1 n) -1/3)) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 n))))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt n) * [misc]simplify: Simplified (2 1 1 2 2 1 1 1 1) to (λ (f n) (- (/ (* (cbrt (+ n f)) (* (cbrt (cbrt (+ n f))) (log (exp (* (cbrt (cbrt n)) (cbrt (cbrt (+ n f)))))))) (/ (- f n) (cbrt (+ n f)))))) * * * [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: #